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Journal articles on the topic 'Non-linear and chaotic dynamic'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Li, B.-B., and Z.-F. Yuan. "Non-linear and chaos characteristics of heart sound time series." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 222, no. 3 (2008): 265–72. http://dx.doi.org/10.1243/09544119jeim331.

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Analysis of chaotic time series is common in many fields of science and engineering. It arises primarily from massive interactions between the many different parts of a non-linear system or in non-linear physical phenomena that are intrinsically complex. It is important to analyse the time series of these non-linear dynamic systems based on chaos theory. In recent years, many researchers on heart dynamics have demonstrated that chaos really exists in heart movements. In this study the non-linear and chaos characteristics are investigated and the fractal dimensions (FDs) and largest Lyapunov ex

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Xiong, Shiqi, and Weiwei Song. "Dynamic Analysis of A Three Dimension Chaotic System." Transactions on Engineering and Technology Research 1 (December 11, 2023): 67–72. http://dx.doi.org/10.62051/fyrev934.

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Memristor is a newly realized physical element, and it is a non-linear circuit element with memory function. We constructed a new three-dimensional chaotic system is constructed which contains four parameters and five non-linear terms. The system is analyzed by nonlinear dynamic analysis methods such as theoretical deduction analysis, numerical simulation, lyapunov exponent spectrum, and bifurcation diagram. The dynamic behavior of the system. This paper proposes a new three-dimensional chaotic system. The system contains four parameters, and each equation contains a non-linear product term. B

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Panas, Epaminondas, and Vassilia Ninni. "Are oil markets chaotic? A non-linear dynamic analysis." Energy Economics 22, no. 5 (2000): 549–68. http://dx.doi.org/10.1016/s0140-9883(00)00049-9.

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Gangopadhy, Partha. "Chaotic Discrimination and Non-Linear Dynamics." American Journal of Applied Sciences 2, no. 1 (2005): 440–42. http://dx.doi.org/10.3844/ajassp.2005.440.442.

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Tian, Anhong, Chengbiao Fu, Her-Terng Yau, Xiao-Yi Su, and Heigang Xiong. "Soil Salinization Level Monitoring and Classifying by Mixed Chaotic Systems." Remote Sensing 13, no. 19 (2021): 3819. http://dx.doi.org/10.3390/rs13193819.

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Soil salinization process is a complex non-linear dynamic evolution. To classify a system with this type of non-linear characteristic, this study proposed a mixed master/slave chaotic system based on Chua’s circuit and a fractional-order Chen-Lee chaotic system to classify soil salinization level. The subject is the soil in Xinjiang with different levels of human interference. A fractional-order Chen-Lee chaotic system was constructed, and the spectral signal processed by the Chua’s non-linear circuit was substituted into the master/slave chaotic system. The chaotic dynamic errors with differe

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Rosas-Jaimes, Oscar A., Luis Alberto Quezada Téllez, and Guillermo Fernández Anaya. "Polynomial Approach and Non-linear Analysis for a Traffic Fundamental Diagram." PROMET - Traffic&Transportation 28, no. 4 (2016): 321–29. http://dx.doi.org/10.7307/ptt.v28i4.1965.

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Vehicular traffic can be modelled as a dynamic discrete form. As in many dynamic systems, the parameters modelling traffic can produce a number of different trajectories or orbits, and it is possible to depict different flow situations, including chaotic ones. In this paper, an approach to the wellknown density-flow fundamental diagram is suggested, using an analytical polynomial technique, in which coefficients are taken from significant values acting as the parameters of the traffic model. Depending on the values of these parameters, it can be seen how the traffic flow changes from stable en

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Ng, C. F. "Testing Techniques for Chaotic Vibration of Buckled Aircraft Structures." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 210, no. 3 (1996): 281–90. http://dx.doi.org/10.1243/pime_proc_1996_210_371_02.

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A simple model of non-linear and chaotic dynamic behaviour of buckled plates is presented. Special procedures are described for setting up the tests of flat and buckled plates with vibrations of large amplitude. The difficulties of measuring chaotic motion include the problems in designing the clamping fixtures, controlling the excitation and analysing the results. Case studies of tests with shaker direct attachment, base excitation, and acoustic excitation are used to illustrate the procedures and ways to solve the various problems. The important non-linear dynamic characteristics of curved p

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Tjurin, A. V., V. G. Shevchuk, and I. I. Bilan. "NON-LINEAR ANALYSIS OF CHAOTIC SELF-OSCILLATIONS IN BACKWARD-WAVE TUBE." Photoelectronics, no. 30 (August 21, 2022): 140–45. http://dx.doi.org/10.18524/0235-2435.2021.30.262892.

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The paper presents the results of the analysis and modelling of topological and dynamic invariants for the regimes of chaotic self-oscillations in the backward-wave oscillator, in particular, the analysis of chaotic time series for the amplitude of the output signal, which is the solution of the equations of the non-stationary nonlinear theory for the O-type backward-wave oscillator (without taking into account space charge, relativistic effects, energy losses, etc.). The main attention is paid to the calculation and analysis of the spectrum of Lyapunov exponents based on the Sano-Savada algor

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Ribeiro, M. A., J. M. Balthazar, H. H. Daum, and A. M. Tusset. "Dynamical behaviour and Control of a Magnetic structure, composed by a Shape Memory spring driven by a DC motor with limited power supply to harvesting energy." Journal of Physics: Conference Series 2647, no. 25 (2024): 252013. http://dx.doi.org/10.1088/1742-6596/2647/25/252013.

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Abstract In this work, we explore a non-linear dynamic mathematical model containing Shape Memory Alloy (SMA) and a non-ideal engine for energy production. However, numerical analyzes of the device showed chaotic behavior for a given set of parameters. Thus, we used the classical tools of non-linear dynamics (Lyapunov Maximum Exponent, bifurcation diagrams, phase maps, and Poincaré maps) that corroborated to determine the regions of chaos. However, to produce energy, the chaotic behavior makes the production of unpredictable electric current that compromises the operation of the device. Theref

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Cerutti, S., S. Guzzetti, R. Parola, and M. G. Signorini. "Non-Linear Dynamics of Cardiovascular Variability Signals." Methods of Information in Medicine 33, no. 01 (1994): 81–84. http://dx.doi.org/10.1055/s-0038-1634981.

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Abstract:Long-term regulation of beat-to-beat variability involves several different kinds of controls. A linear approach performed by parametric models enhances the short-term regulation of the autonomic nervous system. Some non-linear long-term regulation can be assessed by the chaotic deterministic approach applied to the beat-to-beat variability of the discrete RR-interval series, extracted from the ECG. For chaotic deterministic systems, trajectories of the state vector describe a strange attractor characterized by a fractal of dimension D. Signals are supposed to be generated by a determ

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Wang, Rongpeng, Xiaoqin Liu, Guiqiu Song, and Shihua Zhou. "Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction." Applied Sciences 11, no. 19 (2021): 9047. http://dx.doi.org/10.3390/app11199047.

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In this research, the non-linear dynamics of the drill string system model, considering the influence of fluid—structure coupling and the effect of support stiffness, are investigated. Using Galerkin’s method, the equation of motion is discretized into a second-order differential equation. On the basis of an improved mathematical model, numerical simulation is carried out using the Runge—Kutta integration method. The effects of parameters, such as forcing frequency, perturbation amplitude, mass ratio and flow velocity, on the dynamic characteristics of the drill string system are studied under

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Espoz-Lazo, Sebastián, and Claudio Hinojosa-Torres. "Modern Handball: A Dynamic System, Orderly Chaotic." Applied Sciences 15, no. 7 (2025): 3541. https://doi.org/10.3390/app15073541.

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(1) Background: Handball is conceptualized as a complex dynamic system characterized by emergent behaviors, non-linearity, attractors, and self-organization, influenced by players’ interactions, environmental conditions, and tactical elements. This perspective emphasizes the importance of communication, adaptive strategies, and modern teaching methods like Non-linear Pedagogy for improving technical-tactical behaviors, advocating for a multidisciplinary approach to deepen its understanding. Thus, this narrative review aims to explore how modern theories and approaches can be integrated to prov

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Chang-Jian, C.-W. "The bifurcation and chaos of a gear pair system based on a strongly non-linear rotor—bearing system." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224, no. 9 (2010): 1891–904. http://dx.doi.org/10.1243/09544062jmes1892.

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A systematic analysis of the dynamic behaviours of a gear pair system based on a rotor—bearing system under strongly non-linear effects (i.e. non-linear suspension effect, non-linear oil-film force, non-linear rub-impact force, and non-linear gear mesh force) is presented in this study. The dynamic orbits of the system are observed using bifurcation diagrams plotted using the dimensionless unbalance coefficient, the dimensionless damping coefficient, and the dimensionless rotational speed ratio as control parameters. The onset of chaotic motion is specified from the phase diagrams, power spect

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Golevych, O., O. Pyvovar, and P. Dumenko. "Synchronization of Non-Linear Dynamic Systems Under the Conditions of Noise Action in the Channel." Latvian Journal of Physics and Technical Sciences 55, no. 3 (2018): 70–76. http://dx.doi.org/10.2478/lpts-2018-0023.

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Abstract Areas of optimal amplitudes and minimal spectral unevenness of Rucklidge chaotic signals with better correlation abilities are demonstrated in the present research. A model of chaotic synchronization and information transmission system is implemented. The effect of the synchronization feedback coefficient and signal-to-noise ratio on the systems noise immunity is shown.

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Dolu, Anwar, and Amrinsyah Nasution. "Dynamic Response of Non-linear Beam Structures in Deterministic and Chaos Perspective." Indonesian Journal of Physics 30, no. 2 (2019): 14–19. http://dx.doi.org/10.5614/itb.ijp.2019.30.2.3.

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The behavior of large deformation beam structures can be modeled based on non-linear geometry due to geometricnonlinearity mid-plane stretching in the presence of axial forces, which is a form a nonlinear beam differential equationof Duffing equation type. Identification of dynamic systems from nonlinear beam differential equations fordeterministic and chaotic responses based on time history, phase plane and Poincare mapping. Chaotic response basedon time history is very sensitive to initial conditions, where small changes to initial terms leads to significant change inthe system, which in thi

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16

Zhang, Hui Bo, Bo Pan, Long Wang, Cheng Wei, Bin Di You, and Yang Zhao. "Non-Linear Dynamic Modeling and Experiment of Harmonic Gear Drive." Applied Mechanics and Materials 668-669 (October 2014): 217–20. http://dx.doi.org/10.4028/www.scientific.net/amm.668-669.217.

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A non-linear torsional vibration model of harmonic gear drive is proposed in the current study. The model includes clearance, nonlinearity torsional stiffness and nonlinearity damping. The clearance model is developed by introducing the piecewise-linear displacement functions. The function of nonlinearity torsional stiffness is obtained by torsional stiffness experimental. The model of nonlinearity damping is used to describe the process of transmission. The non-linear differential equations are solved using Runge-Kutta method. The numerical simulation results show that the influence of nonlin

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Chang-Jian, C.-W., and C.-K. Chen. "Non-linear dynamic analysis of bearing—rotor system lubricating with couple stress fluid." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222, no. 4 (2008): 599–616. http://dx.doi.org/10.1243/09544062jmes814.

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The current study performs a dynamic analysis of a rotor supported by two couple stress fluid film journal bearings with non-linear suspension. The dynamics of the rotor centre and bearing centre are studied. The analysis of the rotor—bearing system is investigated under the assumptions of a couple-stress lubricant and a short journal bearing approximation. The displacements in the horizontal and vertical directions are considered for various non-dimensional speed ratios. The analysis methods employed in this study include the dynamic trajectories of the rotor centre and the bearing centre, Po

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Jiménez, A. M. López, C. Camacho Martínez Vara de Rey, and A. R. García Torres. "Effect of parameter calculation in direct estimation of the Lyapunov exponent in short time series." Discrete Dynamics in Nature and Society 7, no. 1 (2002): 41–52. http://dx.doi.org/10.1080/10260220290013507.

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The literature about non-linear dynamics offers a few recommendations, which sometimes are divergent, about the criteria to be used in order to select the optimal calculus parameters in the estimation of Lyapunov exponents by direct methods. These few recommendations are circumscribed to the analysis of chaotic systems. We have found no recommendation for the estimation ofλstarting from the time series of classic systems. The reason for this is the interest in distinguishing variability due to a chaotic behavior of determinist dynamic systems of variability caused by white noise or linear stoc

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19

Flinders, James, and John D. Clemens. "Non-linear dynamics, chaos, complexity and enclaves in granitoid magmas." Earth and Environmental Science Transactions of the Royal Society of Edinburgh 87, no. 1-2 (1996): 217–23. http://dx.doi.org/10.1017/s0263593300006623.

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ABSTRACT:Most natural systems display non-linear dynamic behaviour. This should be true for magma mingling and mixing processes, which may be chaotic. The equations that most nearly represent how a chaotic natural system behaves are insoluble, so modelling involves linearisation. The difference between the solution of the linearised and ‘true’ equation is assumed to be small because the discarded terms are assumed to be unimportant. This may be very misleading because the importance of such terms is both unknown and unknowable. Linearised equations are generally poor descriptors of nature and

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20

Nishimura, Kazuo, and Makoto Yano. "Chaotic solutions in dynamic linear programming." Chaos, Solitons & Fractals 7, no. 11 (1996): 1941–53. http://dx.doi.org/10.1016/s0960-0779(96)00005-7.

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21

Jani, Joan. "Exploring Non-linear Dynamics: Constructing the Bifurcation Diagram of a Damped Driven Pendulum using Python." WSEAS TRANSACTIONS ON SYSTEMS 23 (October 25, 2024): 243–48. http://dx.doi.org/10.37394/23202.2024.23.27.

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In this paper, we present a detailed analysis and construction of the bifurcation diagram for the damped-driven pendulum system. The bifurcation diagram in general presents the qualitative changes of the steady-state behavior for the pendulum. For this purpose, we implement the use of the Python programming language with the inclusion of scientific libraries. This nonlinear dynamical system is an example of a system that exhibits a chaotic regime, which is the sensitivity of its behavior to the initial conditions and the parameters of the system. We investigate the response of the system to a

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22

Patra, Pravajyoti, V. Huzur Saran, and SP Harsha. "Non-linear dynamic response analysis of cylindrical roller bearings due to rotational speed." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 233, no. 2 (2018): 379–90. http://dx.doi.org/10.1177/1464419318762678.

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The dynamic behaviour of cylindrical roller bearings is presented, in both balanced and unbalanced conditions as a function of speed. The stiffness and damping non-linearities at the contact points (due to Hertzian contact force between rollers and races), radial internal clearance and unbalanced rotor force make the bearing system non-linear. Presently, the differential equations representing the dynamics of the cylindrical roller bearings have been obtained using Lagrange’s equation and solved numerically using modified Newmark-β method. The results of the analyses of various motion behaviou

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Zippo, Antonio, Giovanni Iarriccio, and Francesco Pellicano. "Non-linear time series analysis of Parkinsonian tremor signals." Proceedings of the International Conference on Condition Monitoring and Asset Management 2023, no. 1 (2023): 1–4. http://dx.doi.org/10.1784/cm2023.4d5.

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Nonlinear time series analysis of Parkinsonian tremor signals involves exploring the complex dynamics and nonlinear interactions within the tremor signals to gain insights into the underlying physiological processes. By applying advanced analytical techniques, researchers aim to uncover hidden patterns, chaotic behavior, and self-organization within the signals, which can provide valuable information for the diagnosis and monitoring of Parkinson's disease. The vibrational phenomena studied in this work regards the arm and forearm vibration with the purpose to detect and recognize the dynamic p

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Poli, G., and D. Perugini. "Non-linear and chaotic dynamics in igneous petrology." Lithos 65, no. 3-4 (2002): vii—viii. http://dx.doi.org/10.1016/s0024-4937(02)00193-7.

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Yang, Li, Fuzhao Yang, Sudan Huang, Tao Liang, and Tianmin Huang. "Chaotic Analysis of Fractional-Order Permanent Magnet Synchronous Generator for Wind Turbine." Journal of Physics: Conference Series 2066, no. 1 (2021): 012090. http://dx.doi.org/10.1088/1742-6596/2066/1/012090.

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Abstract Fractional-order wind turbine is a strongly coupled non-linear dynamic system. It mainly studies the significant chaos characteristics such as the complex chaotic motion with fractional order varying. According to the mathematical model of the system, the fractional order Lorenz chaotic equation is established by linear affine transformation and time scale transformation. The theory of Lyapunov stability analysis is adopted to deeply study the development process of the system from stable operation to chaotic motion. The correctness of the chaos characteristics of the system is verifi

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Shrestha, Chhabi Kumar, Krishna Raj Adhikari, Kapil Adhikari, and Narayan Prasad Adhikari. "From linear to non-linear/chaotic pendulum: a computational study." BIBECHANA 22, no. 2 (2025): 116–21. https://doi.org/10.3126/bibechana.v22i2.72570.

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In this work, we have used computational techniques to examine how the dynamics of a simple pendulum change from linear to non-linear and chaotic. The graph of phase space, angular displacement versus time, and angular velocity versus time are thoroughly examined in our analysis. A significant shift is seen in these representations, particularly in the graph of angular displacement versus time and angular velocity versus time. As the non-linearity is enhanced, we see a progressive movement from circular to oval shapes in phase space. In damped and forced pendulum scenarios, similar patterns ar

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Ge, Z.-M., C.-S. Chen, H.-H. Chen, and S.-C. Lee. "Regular and chaotic dynamics of a simplified fly-ball governor." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 213, no. 5 (1999): 461–75. http://dx.doi.org/10.1243/0954406991522707.

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The dynamics of a simplified model of a fly-ball speed governor undergoing a harmonic variation about its rotational speed is studied in this paper. This system is a non-linear damped system subjected to parametric excitation. The harmonic balance method is applied to analyse the stability of period attractors and the behaviour of bifurcations. The time evolutions of the response of the non-linear dynamic system are described by time history, phase portraits and Poincaré maps. The regular and chaotic behaviour is observed by various numerical techniques such as power spectra, Lyapunov exponent

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Ghane, Hamed, Alef E. Sterk, and Holger Waalkens. "Chaotic dynamics from a pseudo-linear system." IMA Journal of Mathematical Control and Information 37, no. 2 (2019): 377–94. http://dx.doi.org/10.1093/imamci/dnz005.

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Abstract Investigating the possibility of applying techniques from linear systems theory to the setting of non-linear systems has been the focus of many papers. The pseudo-linear (PL) form representation of non-linear dynamical systems has led to the concept of non-linear eigenvalues (NEValues) and non-linear eigenvectors (NEVectors). When the NEVectors do not depend on the state vector of the system, then the NEValues determine the global qualitative behaviour of a non-linear system throughout the state space. The aim of this paper is to use this fact to construct a non-linear dynamical syste

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Brown, R. D., G. Drummond, and P. S. Addison. "Chaotic response of a short journal bearing." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 214, no. 4 (2000): 387–400. http://dx.doi.org/10.1243/1350650001543278.

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The non-linear response of fluid-film bearings has been studied for nearly 40 years. Apart from a paper on aperiodic behaviour by Holmes et al. in 1978, much of the work has concentrated on limit cycle behaviour and the practical bounds of linear models. Brindley et al. in 1990 examined the free vibration of a rigid rotor supported by a short bearing oil film. Numerical integration of the equations of motion demonstrated the existence of both large and small limit cycles at operating conditions close to the stability boundary. Hopf bifurcations were shown to exist using a theoretical method. B

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Wiercigroch, M. "Chaotic Vibration of a Simple Model of the Machine Tool-Cutting Process System." Journal of Vibration and Acoustics 119, no. 3 (1997): 468–75. http://dx.doi.org/10.1115/1.2889747.

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A study on a simple model of the machine tool—cutting process system is presented. As the system is non-linear and discontinuous, and exhibits intermittent cutting, non-linear dynamics techniques such as constructing bifurcation diagrams and Poincare´ maps were employed to ascertain a quality of motion. Untypical routes to chaos and unusual topology of Poincare´ sections were observed. New phenomena such as unidirectional bifurcation and births and deaths of periodic solutions were detected. It was also found out that the dynamic responses of the analysed system can be most effectively control

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Yan, Tao, Muflih Alhazmi, Mukhtar Youssif, Amna Elhag, Abdulrahman Aljohani, and Sayed Saber. "Analysis of a Lorenz model using adomian decomposition and fractal-fractional operators." Thermal Science 28, no. 6 Part B (2024): 5001–9. https://doi.org/10.2298/tsci2406001y.

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This paper extends the classical Lorenz system to incorporate fractal-fractional dynamics, providing a detailed numerical analysis of its chaotic behavior. By applying Caputo's fractal-fractional operators to the Lorenz system, the study explores the fractal and fractional nature of non-linear systems. Numerical methods are employed to solve the extended system, with suitable fractal and fractional orders chosen to demonstrate chaos and hyper-chaos. The results are presented graphically, highlighting the complex dynamic behavior of the system under different parameter conditions. This research

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Ghandour, Raymond, Abdullah S. Karar, Zaher Al Barakeh, Julien Moussa H. Barakat, and Zia Ur Rehman. "Non-Linear Plasma Wave Dynamics: Investigating Chaos in Dynamical Systems." Mathematics 12, no. 18 (2024): 2958. http://dx.doi.org/10.3390/math12182958.

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This work addresses the significant issue of plasma waves interacting with non-linear dynamical systems in both perturbed and unperturbed states, as modeled by the generalized Whitham–Broer–Kaup–Boussinesq–Kupershmidt (WBK-BK) Equations. We investigate analytical solutions and the subsequent emergence of chaos within these systems. Initially, we apply advanced mathematical techniques, including the transform method and the G′G2 method. These methods allow us to derive new precise solutions and enhance our understanding of the non-linear processes dominating plasma wave dynamics. Through a syst

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Wei, Peng Cheng, and Jun Jian Huang. "Using Segment Number Parameter of Piecewise Linear Chaotic Map Construct Novel Hash Scheme." Materials Science Forum 694 (July 2011): 479–84. http://dx.doi.org/10.4028/www.scientific.net/msf.694.479.

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A novel keyed Hash function is presented based on the dynamic S-boxes. The proposed approach can give a chaotic Hash value by means of the lookup table of functions and chaotic dynamic S-box. Compared with the existing chaotic Hash functions, this method improves computational performance of Hash system by using the chaotic S-box substitution. Theoretical and experimental results show that the proposed method has not only strong one way property, sensitivity to initial conditions and chaotic system’s parameters, but also high speed.

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Dai, L., Q. Han, and M. Dong. "Chaotic response of a Galerkin shell to constant load and periodic excitation." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 219, no. 1 (2005): 61–73. http://dx.doi.org/10.1243/146441905x9953.

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This study intends to investigate the dynamic behaviour of a non-linear elastic shallow shell of large deflection subjected to constant boundary loading and harmonic lateral excitation. The general governing equation for the shell is established using the Galerkin Principle. Three types of dynamic equation of the shell are developed, corresponding to certain geometry and loading conditions. Melnikov functions are considered for each type. Non-linear responses of the shell to the loads are analysed theoretically. Centre points, saddle points, and homoclinic orbits are determined and analysed on

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Kožar, Ivica, Joško Ožbolt, and Tatjana Pecak. "Load-Rate Sensitivity in 1D Non-Linear Viscoelastic Model." Key Engineering Materials 488-489 (September 2011): 731–34. http://dx.doi.org/10.4028/www.scientific.net/kem.488-489.731.

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Load-rate sensitivity of material is important in impact and other dynamic loadings. It is assumed that the strain-rate sensitivity is not a material property but comes out naturally from dynamic equilibrium equations. Material is assumed non-linear, similar as used in the microplane model for quasi-brittle materials, and viscoelastic arranged into Kelvin scheme. The scheme is the simplest possible and consists of two Kelvin bars in series with an optional mass between them (Maxwell bars are considered in our previous paper). Loading is uniaxial tension with changing intensity in time, asympto

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Wang, Juan, and Qun Ding. "Dynamic Rounds Chaotic Block Cipher Based on Keyword Abstract Extraction." Entropy 20, no. 9 (2018): 693. http://dx.doi.org/10.3390/e20090693.

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According to the keyword abstract extraction function in the Natural Language Processing and Information Retrieval Sharing Platform (NLPIR), the design method of a dynamic rounds chaotic block cipher is presented in this paper, which takes into account both the security and efficiency. The cipher combines chaotic theory with the Feistel structure block cipher, and uses the randomness of chaotic sequence and the nonlinearity of chaotic S-box to dynamically generate encrypted rounds, realizing more numbers of dynamic rounds encryption for the important information marked by NLPIR, while less num

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Gránásy, P., P. G. Thomasson, C. B. Sørensen, and E. Mosekilde. "Non-linear flight dynamics at high angles-of-attack." Aeronautical Journal 102, no. 1016 (1998): 337–44. http://dx.doi.org/10.1017/s0001924000027585.

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AbstractThe methods of non-linear dynamics are applied to the longitudinal motion of a vectored thrust aircraft, in particular the behaviour at high angles-of-attack. The model contains analytic non-linear aerodynamic coefficients based on Nasa windtunnel tests on the F-18 high alpha research vehicle (Harv). The equilibrium surfaces are plotted against thrust magnitude and thrust deflection and are used to explain the behaviour. When the aircraft is forced with small thrust deflections whilst in poststall equilibrium, chaotic motion is observed at certain frequencies. At other frequencies, sev

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Chavarette, Fábio Roverto. "On an Optimal Linear Control of a Chaotic Non-Ideal Duffing System." Applied Mechanics and Materials 138-139 (November 2011): 50–55. http://dx.doi.org/10.4028/www.scientific.net/amm.138-139.50.

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In this work, we use a nonlinear control based on Optimal Linear Control. We used as mathematical model a Duffing equation to model a supporting structure for an unbalanced rotating machine with limited power (non-ideal motor). Numerical simulations are performed for a set control parameter (depending on the voltage of the motor, that is, in the static and dynamic characteristic of the motor) The interaction of the non-ideal excitation with the structure may lead to the occurrence of interesting phenomena during the forward passage through the several resonance states of the system. Chaotic be

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Stankevych, S. V., H. V. Baidyk, I. P. Lezhenina, et al. "Wandering of Mass Reproduction of Harmful Insects Within the Natural Habitat." Ukrainian Journal of Ecology 9, no. 4 (2019): 578–83. http://dx.doi.org/10.15421/2019_793.

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The wandering of non-linear systems along the field of the possible development paths is one of the important characteristics of dynamic non-linear systems in synergetics. Insect populations are a complex of open biological systems with chaotic non-linear dynamics in space and time. Predicting their future development is not an easy task. Ignorance of the non-linear systems dynamics regularity is the cause of the repeated errors in predicting and, as a result, “sudden” appearances of “unexpected” and unpredictable mass reproductions of short-horned grasshoppers and locusts, winter moth, webwor

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Abdelbari, Slim, and Jelel Ezzine. "Non Linear Disturbance Accommodation Fuzzy Control." Journal of Advanced Computational Intelligence and Intelligent Informatics 12, no. 2 (2008): 165–71. http://dx.doi.org/10.20965/jaciii.2008.p0165.

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This paper deals with the problem of chaotic disturbances accommodation when these are generated by known non linear dynamics. In order to accomplish this goal, Takagi-Sugeno fuzzy models are called for as they offer the advantage of having virtually a linear rule consequent to approximate non linear systems. A control law inspired from the known disturbance accommodation control theory (DAC theory) is used to make the effects of disturbances vanish or attenuated while the considered linear plant is stabilized at the same time. An illustrative example is provided.

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SUXO-CORO, AURELIO ALEJANDRO, ABDIAS SERGIO CALLEJAS-ICUNA, CARLOS NINA, RENÉ ORLANDO MEDRANO-TORRICOS, and GONZALO MARCELO RAMÍREZ-ÁVILA. "DINÁMICA DE CIRCUITOS DE CHUA CON BOBINAS NO IDEALES E HISTÉRESIS." REVISTA BOLIVIANA DE FÍSICA 40, no. 40 (2022): 13–25. http://dx.doi.org/10.53287/wvkt7994ew79r.

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A complete dynamic study (theoretical, experimental and numerical) of a chaotic Chua-type circuit was carried out using a non-ideal coil with non-negligible values of its internal resistance. This set up means that the circuit does not show chaotic behavior. In order to observe chaoticity, a modification that introduces hysteresis to the Chua diode is proposed. Using spaces of up to three control parameters it is shown how this modification adapts to a wide range of non-ideal inductors presenting more extensive chaotic regions than the classical Chua circuit. These simulations are tested with

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Talbi, Ibtissem, Adel Ouannas, Giuseppe Grassi, Amina-Aicha Khennaoui, Viet-Thanh Pham, and Dumitru Baleanu. "Fractional Grassi–Miller Map Based on the Caputo h-Difference Operator: Linear Methods for Chaos Control and Synchronization." Discrete Dynamics in Nature and Society 2020 (November 26, 2020): 1–10. http://dx.doi.org/10.1155/2020/8825694.

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Investigating dynamic properties of discrete chaotic systems with fractional order has been receiving much attention recently. This paper provides a contribution to the topic by presenting a novel version of the fractional Grassi–Miller map, along with improved schemes for controlling and synchronizing its dynamics. By exploiting the Caputo h-difference operator, at first, the chaotic dynamics of the map are analyzed via bifurcation diagrams and phase plots. Then, a novel theorem is proved in order to stabilize the dynamics of the map at the origin by linear control laws. Additionally, two cha

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Changjian, Cai Wan, Hsiang Chen Hsu, Jiann Lin Chen, and Guan I. Wu. "Nonlinear Analysis of Porous Squeeze Film Damper-Mounted a Rotor with Non-Linear Suspension and Roughness Effect." Applied Mechanics and Materials 121-126 (October 2011): 1687–91. http://dx.doi.org/10.4028/www.scientific.net/amm.121-126.1687.

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This work studies a numerical research undertaken to investigate the dynamic behaviors of porous squeeze film damper mounted a rotor considering longitudinal and transverse roughness effect under nonlinear suspension. The dynamic response of the rotor center and bearing center are studied. The analysis methods employed in this study are inclusive of the dynamic trajectories of the rotor center and bearing center, Poincaré maps and bifurcation diagrams. The maximum Lyapunov exponent analysis is also used to identify the onset of chaotic motion. The modeling results provide some useful insights

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Poon, W. Y., C. F. Ng, and Y. Y. Lee. "Dynamic stability of a curved beam under sinusoidal loading." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 216, no. 4 (2002): 209–17. http://dx.doi.org/10.1243/09544100260369740.

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This paper is a study of snap-through properties of a non-linear dynamic buckling response to sinusoidal excitation of a clamped—clamped buckled beam. Using a simple formula, the highly non-linear motion of snap-through and its effects on the overall vibration response have been studied. The non-linear governing equation obtained here is solved using the Runge—Kutta (RK-4) numerical integration method. Critical parameters at the onset of the snap-through motion, which vary with different damping coefficients and linear circular frequencies of a flat beam, are studied and given in terms of the

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Bontempi, F., and F. Casciati. "Non-linear dynamics versus chaotic motion for MDOF structural systems." Chaos, Solitons & Fractals 7, no. 10 (1996): 1659–82. http://dx.doi.org/10.1016/s0960-0779(96)00061-6.

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Mareels, Iven M. Y., and Robert R. Bitmead. "Non-linear dynamics in adaptive control: Chaotic and periodic stabilization." Automatica 22, no. 6 (1986): 641–55. http://dx.doi.org/10.1016/0005-1098(86)90003-8.

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Kwek, Keng-Huat, and Jibin Li. "Chaotic dynamics and subharmonic bifurcations in a non-linear system." International Journal of Non-Linear Mechanics 31, no. 3 (1996): 277–95. http://dx.doi.org/10.1016/0020-7462(95)00068-2.

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Awrejcewicz, J., A. V. Krysko, V. Dobriyan, I. V. Papkova, and V. A. Krysko. "Chaotic and synchronized dynamics of non-linear Euler–Bernoulli beams." Computers & Structures 155 (July 2015): 85–96. http://dx.doi.org/10.1016/j.compstruc.2015.02.022.

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Kol'tsov, Nikolay I. "KINETIC MODELS OF CHAOS IN LINEAR CATALYTIC REACTIONS." ChemChemTech 67, no. 5 (2024): 121–27. http://dx.doi.org/10.6060/ivkkt.20246705.6956.

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Chaos (chaotic oscillations, strange attractors) are aperiodic changes in certain parameters of the dynamic system under study, which differ from other types of oscillations (damped, undamped, multi-periodic) by unusually complex, unpredictable dynamic behavior, and can be observed for an arbitrarily long time. From the theory of dynamical systems it follows that chaotic oscillations can be described by nonlinear systems of ordinary differential equations with three or more independent variables. Until now, such differential equations have been used to construct kinetic models within the frame

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Wang, Faqiang, Hongbo Cao, and Dingding Zhai. "A New 4D Piecewise Linear Multiscroll Chaotic System with Multistability and Its FPGA-Based Implementation." Complexity 2021 (May 6, 2021): 1–15. http://dx.doi.org/10.1155/2021/5529282.

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Due to the complex behavior of a multiscroll chaotic system, it is a good candidate for the secure communications. In this paper, by adding an additional variable to the modified Lorenz-type system, a new chaotic system that includes only linear and piecewise items but can generate 4n + 4 scroll chaotic attractors via choosing the various values of natural number n is proposed. Its dynamics including bifurcation, multistability, and symmetric coexisting attractors, as well as various chaotic and periodic behaviors, are analyzed by means of attraction basin, bifurcation diagram, dynamic map, ph

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