Relevant bibliographies by topics / Generalized Liu chaotic system

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Generalized Liu chaotic system'

Author: Grafiati
Published: 4 June 2025
Last updated: 15 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Generalized Liu chaotic system.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Generalized Liu chaotic system"

1

Sun, Yeong-Jeu, and Jer-Guang Hsieh. "Chaos Suppression and Stabilization of Generalized Liu Chaotic Control System." International Journal of Trend in Scientific Research and Development Volume-3, Issue-1 (2018): 1112–15. http://dx.doi.org/10.31142/ijtsrd20195.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Sun, Yeong-Jeu. "Simple Exponential Observer Design for the Generalized Liu Chaotic System." International Journal of Trend in Scientific Research and Development Volume-2, Issue-1 (2017): 953–56. http://dx.doi.org/10.31142/ijtsrd7126.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Yeong-Jeu, Sun. "Simple Exponential Observer Design for the Generalized Liu Chaotic System." International Journal of Trend in Scientific Research and Development 2, no. 1 (2017): 953–56. https://doi.org/10.31142/ijtsrd7126.

Full text
Abstract:
In this paper, the generalized Liu chaotic system is firstly introduced and the state observation problem of such a system is investigated. Based on the time domain approach with differential and integral equalities, a novel state observer for the generalized Liu chaotic system is constructed to ensure the global exponential stability of the resulting error system. Besides, the guaranteed exponential convergence rate can be precisely calculated. Finally, numerical simulations are presented to exhibit the effectiveness and feasibility of the obtained results. Yeong-Jeu Sun "Simple Exponential Observer Design for the Generalized Liu Chaotic System" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-1 , December 2017, URL: https://www.ijtsrd.com/papers/ijtsrd7126.pdf
APA, Harvard, Vancouver, ISO, and other styles
4

Yeong-Jeu, Sun, and Hsieh Jer-Guang. "Chaos Suppression and Stabilization of Generalized Liu Chaotic Control System." International Journal of Trend in Scientific Research and Development 3, no. 1 (2018): 1112–15. https://doi.org/10.31142/ijtsrd20195.

Full text
Abstract:
In this paper, the concept of generalized stabilization for nonlinear systems is introduced and the stabilization of the generalized Liu chaotic control system is explored. Based on the time domain approach with differential inequalities, a suitable control is presented such that the generalized stabilization for a class of Liu chaotic system can be achieved. Meanwhile, not only the guaranteed exponential convergence rate can be arbitrarily pre specified but also the critical time can be correctly estimated. Finally, some numerical simulations are given to demonstrate the feasibility and effectiveness of the obtained results. Yeong-Jeu Sun | Jer-Guang Hsieh "Chaos Suppression and Stabilization of Generalized Liu Chaotic Control System" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-1 , December 2018, URL: https://www.ijtsrd.com/papers/ijtsrd20195.pdf
APA, Harvard, Vancouver, ISO, and other styles
5

Golmankhaneh, Alireza K., Roohiyeh Arefi, and Dumitru Baleanu. "The Proposed Modified Liu System with Fractional Order." Advances in Mathematical Physics 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/186037.

Full text
Abstract:
The chaos in a new system with order 3 is studied. We have shown that this chaotic system again will be chaotic when the order of system is less than 3. Generalized Adams-Bashforth algorithm has been used for investigating in stability of fixed points and existence of chaos.
APA, Harvard, Vancouver, ISO, and other styles
6

Sun, Yeong-Jeu. "State Estimator Design of Generalized Liu Systems with Application to Secure Communication and Its Circuit Realization." Mathematical Problems in Engineering 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/352426.

Full text
Abstract:
The generalized Liu system is firstly introduced and the state observation problem of such a system is explored. A simple state estimator for the generalized Liu system is developed to guarantee the global exponential stability of the resulting error system. Applications of proposed state estimator strategy to chaotic secure communication, circuit implementation, and numerical simulations are provided to show the effectiveness and feasibility of the obtained results. Besides, the guaranteed exponential convergence rate of the proposed state estimator and that of the proposed chaotic secure communication can be precisely calculated.
APA, Harvard, Vancouver, ISO, and other styles
7

YU, PEI, and FEI XU. "A COMMON PHENOMENON IN CHAOTIC SYSTEMS LINKED BY TIME DELAY." International Journal of Bifurcation and Chaos 16, no. 12 (2006): 3727–36. http://dx.doi.org/10.1142/s0218127406017129.

Full text
Abstract:
In this paper, we report a common phenomenon observed in chaotic systems linked by time delay. Recently, the Lorenz chaotic system has been extended to the family of Lorenz systems which includes the Chen and Lü systems. These three chaotic systems, corresponding to different sets of system parameter values, are topologically different. With the aid of numerical simulations, we have surprisingly found that a simple time delay, directly applied to one or more state variables, transforms the Lorenz system to the generalized Chen system or the generalized Lü system without any parameter changes. The existence of this phenomenon has also been found in other known chaotic systems: the Rössler system, the Chua's circuit and the 4-Liu system. This finding has shown a common characteristic of chaotic systems: a new chaotic "branch" can be created from a chaotic attractor by simply adding a time delay.
APA, Harvard, Vancouver, ISO, and other styles
8

Voliansky, Roman. "Transformation of the generalized chaotic system into canonical form." International Journal of Advances in Intelligent Informatics 3, no. 3 (2017): 117. http://dx.doi.org/10.26555/ijain.v3i3.113.

Full text
Abstract:
The paper deals with the developing of the numerical algorithms for transformation of generalized chaotic system into canonical form. Such transformation allows us to simplify control algorithm for chaotic system. These algorithms are defined by using Lie derivatives for output variable and solution of nonlinear equations. Usage of proposed algorithm is one of the ways for discovering of new chaotic attractors. These attractors can be obtained by transformation of known chaotic systems into various state spaces. Transformed attractors depend on both parameters of chaotic system and sample time of its discrete model.
APA, Harvard, Vancouver, ISO, and other styles
9

WANG, XING-YUAN, NI-NI GU, and ZHEN-FENG ZHANG. "TRIANGULAR FORM OF CHAOTIC SYSTEM AND ITS APPLICATION IN CHAOS SYNCHRONIZATION." Modern Physics Letters B 22, no. 14 (2008): 1431–39. http://dx.doi.org/10.1142/s0217984908016200.

Full text
Abstract:
The triangular form of a chaotic system and how to obtain it from the Lie derivative are introduced. Based on this, both the synchronization of Genesio–Tesi and Coullet systems and the generalized synchronization of Lü and Sprott-B systems are realized in two feedback ways through designing nonlinear controllers. Results of numerical simulations in MATLAB validate the effectiveness of the given synchronization methods further.
APA, Harvard, Vancouver, ISO, and other styles
10

SARRIS, C. M., and A. N. PROTO. "THE SU(2) SEMI QUANTUM SYSTEMS DYNAMICS AND THERMODYNAMICS." International Journal of Modern Physics B 24, no. 25n26 (2010): 5037–49. http://dx.doi.org/10.1142/s0217979210057183.

Full text
Abstract:
The dynamical description of a semi quantum nonlinear systems whose classical limit is not chaotic is still an open question. These systems are characterized by mixing a classical system with a quantum-mechanical one. As some of them lead to an irregular dynamics, the name "semi quantum chaos" arises. In this contribution we study two different Hamiltonians through the Maximum Entropy Principle Approach (MEP). Taking advantage of the MEP formalism, it can be clearly established that the Hamiltonians belonging to the SU(2) Lie algebra have common properties and a common treatment can be developed for them. These Hamiltonians resemble a quantum spin system coupled to a classical cavity. In the present contribution, we show that all of them share the generalized uncertainty principle as an invariant of the motion and other invariants as well. Two different classical potentials V(q) have been studied. Their specific heat are evaluated in terms of the extensive (mean values) and the intensive (Lagrange multipliers) variables. The main result of the present contribution is to show that the specific heat of these systems can be fixed independently of the temperature by setting only the initial conditions on the extensive or intensive variables, as well as the value of the quantum-classical coupling parameter. It could be possible to infer that this result can be extended to generalized forms for the V(q) classical potential.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Generalized Liu chaotic system"

1

Dukhan, Ammar Moufak Yacoob. "A novel generalized multilevel-hybrid chaotic oscillator for communication systems." Thesis, Queensland University of Technology, 2020. https://eprints.qut.edu.au/205659/1/Ammar%20Moufak%20Yacoob_Dukhan_Thesis.pdf.

Full text
Abstract:
Signals in chaotic communication systems can be used in secure communications because they are unstable and aperiodic making them difficult to detect or predict. Receivers for conventional chaotic communication systems are complex as chaotic signals are sensitive initial condition and difficult to synchronize. This research developed a method to create a Generalized Multilevel-Hybrid Chaotic Oscillator and derived its generalized fixed basis function leading to the implementation of a simple matched filter receiver that can be synchronized. The proposed system is not sensitive initial condition and can be used effectively for multi-level and multi-access communication systems.
APA, Harvard, Vancouver, ISO, and other styles
2

Liang, Xiyin. "Security and robustness of a modified parameter modulation communication scheme." Thesis, Pretoria : [s.n.], 2009. http://upetd.up.ac.za/thesis/available/etd-04072009-204834/.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Chung, Hao-Chuan, and 鍾浩詮. "Chaotic Dynamics Analyze and Generalized Synchronization of Liu-Chen System with Feedback Control." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/82509575627124324249.

Full text
Abstract:
碩士<br>國立交通大學<br>機械工程系所<br>101<br>In this paper, we add a feedback control to Liu-Chen system and discuss the behaviors of the system by applying various techniques. These techniques include phase portraits, Poincaré maps, bifurcation diagrams, electronic circuit modeling, Lyapunov exponent diagrams and equilibrium analysis. The chaos synchronization uses GYC partial region stability of adaptive control, sliding mode control and fuzzy control. The chaos control uses fuzzy control. Numerical analyses, such as phase portraits and time histories can be provided to verify the effectiveness in all above studies.
APA, Harvard, Vancouver, ISO, and other styles
4

Li, Jyun-De, and 李俊德. "Chaotic Dynamics Analyze and Generalized Synchronization of Four Dimensional Lü System." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/me569t.

Full text
Abstract:
碩士<br>國立交通大學<br>機械工程系所<br>101<br>In thus thesis, we have presented a new Lü system by adding a feedback controller x4 equation of Lü system, and analyzed the chaotic behavior of new Lü system by phase portraits, time histories, Poincarѐ maps, Power Spectral, Lyapunov exponents, Lyapunov dimensions and bifurcation diagrams. This paper will focus on chaos synchronization of numerical simulation and circuit simulation. The chaos synchronization schemes are including originally adaptive synchronization, GYC partial region stability theory and BGYC synchronization. And the synchronization are including chaos synchronization, generalized synchronization and generalized synchronization of four dimensions Lü system with uncertain chaotic parameters. This thesis demonstrates three schemes of numerical simulation and circuit simulation, and then compares the consistency of two simulation results. Such as phase portraits and time histories can be provided to verify the effectiveness in all above studied.
APA, Harvard, Vancouver, ISO, and other styles
5

Wu, Cheng-lin, and 吳政霖. "Chaotic Dynamic Analysis, Generalized Chaos Synchronization and Circuit Imeplementation of New Four-Dimensions Lorenz-Stenflo Chaotic System." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/73202669008039515955.

Full text
Abstract:
碩士<br>國立臺灣科技大學<br>自動化及控制研究所<br>101<br>Based on the Lorenz system, Stenflo used the short-wavelength to study atmospheric wave equation. The system is known better as the Lorenz-Stenflo system. The thesis present the modified of the Lorenz-Stenflo system, call it New Four-Dimension Lorenz-Stenflo system which use some power system analysis ways, such as Lyapunov exponent, bifurcation, Poincare map, equilibrium analysis, divergence analysis, phase diagram. The main goal is to make the actual circuit in real to analysis the chaotic motion graphics, and the motion characteristics of the system compare with simulation by Multisim. The design of Adaptive synchronous controller, generalized chaos synchronous controller, GYC synchronous controller and the T-S fuzzy synchronous controller use New Four-Dimension Lorenz-Stenflo system in order to synchronize the main system and slave system. This thesis also apply the New Four-Dimension Lorenz-Stenflo system on image pixels rank set encryption, which is used in the process of signal transmission and encryption on the image. In addition, the entropy encryption, scrambling degree and the correlation coefficient of the image are also analyzed.
APA, Harvard, Vancouver, ISO, and other styles
6

Chang, Che-Lun, and 張哲倫. "Chaotic Dynamics and Generalized Chaos Synchronization of the Four Dimensional Chen – Lee system." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/87059969010798409880.

Full text
Abstract:
碩士<br>國立交通大學<br>機械工程系所<br>101<br>A new four dimensional chaotic system is presented in this study by adding one more feedback control equation to the Chen – Lee system which is discovered by Chen and Lee in 2004. We use an innovative technique to present the 3-dimensional phase portraits and its projection simultaneously in order to have a better understanding of the four dimensional Chen – Lee system. A more complicated four dimensional Chen – Lee system with uncertain chaotic parameter is proposed. By applying GYC partial region stability theory, adaptive generalized chaos synchronization of the four dimensional Chen – Lee system is accomplished; in addition, the adaptive control is also accomplished by applying genetic algorithm. Furthermore, the adaptive control of the four dimensional Chen – Lee system is implemented on electronic circuit. An electronic circuit board of the four dimensional Chen – Lee system is realized in this thesis.
APA, Harvard, Vancouver, ISO, and other styles
7

Li, Shih-Yu, and 李仕宇. "Hyperchaos, Intelligent Fuzzy Logic Control, Generalized Synchronizations of New Chaotic System and Yin-Yang Chaos." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/95407780177198931128.

Full text
Abstract:
博士<br>國立交通大學<br>機械工程系所<br>98<br>Hyperchaos of chaotic systems, Yin-Yang chaos, new fuzzy model, new fuzzy logic controllers, generalized chaos synchronization via GYC partial region stability theory and pragmatical asymptotically stability theorem are studied in this thesis. The main points in the researches are shown as follow: 1.Analyzing Yin chaos of the classical Lorenz system and comparing it with Yang chaos. 2.Hyperchaos in a new Mathieu-van der Pol system is identified by phase portraits, power spectrum, Lyapunov exponents and 2-D and 3-D parameters diagrams. Three positive Lyapunov exponents are found for system with four states. 3.Chaotic control and synchronization for a system by GYC partial region theory. 4.New fuzzy model is proposed to simulate the complicated chaotic behaviors via only two linear subsystems and used to carry out synchronization of complicated chaotic systems and different chaotic systems. 5.Simplified fuzzy logic constant controller (FLCC) is presented to achieve generalized synchronization.
APA, Harvard, Vancouver, ISO, and other styles
8

Tang, Hui. "A generalized approach to the control of the evolution of a molecular system /." 1997. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9811927.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Hsu, Kai-Ming, and 許凱銘. "Chaos, Pragmatical Chaotic Generalized Synchronization, Symplectic Synchronization, and Chaos Synchronization and Control by GYC Partial Region Stability Theory of a New Duffing-Van der Pol System." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/97441732730780428722.

Full text
Abstract:
碩士<br>國立交通大學<br>機械工程系所<br>96<br>In this thesis, the chaotic behavior in new Duffing-van der Pol system is studied by phase portraits, time history, Poincaré maps, Lyapunov exponent, bifurcation diagrams, and parametric diagram. A new kind of chaotic generalized synchronization system, pragmatical hybrid projective chaotic generalized synchronization (PHPCGS), is obtained by pragmatical asymptotical stability theorem and adaptive control law. Second new type for chaotic synchronization, pragmatical chaotic symplectic synchronization (PCSS), is obtained by new dynamic surface control and pragmatical asymptotical stability theorem. A new method, using GYC partial region stability theory, is studied for chaos synchronization, chaos control, and chaos anti-control. Moreover, the new Duffing-van der Pol system with Legendre function parameters is studied for chaos and synchronization. Numerical analyses, such as phase portraits and time histories can be provided to verify the effectiveness in all above studies.
APA, Harvard, Vancouver, ISO, and other styles
10

Chang, Yu-Ming, and 張育銘. "Chaos, Chaos Generalized Synchronization and Control of a New Froude-van der Pol System by GYC Partial Region Stability Theory and Hyperchaos of Lorenz System with Legendre Function Parameters, Historical Chaos and Yin-Yang Synchronization for Chaotic Che." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/25294933368452303634.

Full text
Abstract:
碩士<br>國立交通大學<br>機械工程系所<br>97<br>In this thesis, a new chaotic Froude-van der Pol system is studied. A new strategy of achieving chaos generalized synchronization and chaos control by GYC partial region stability is proposed. Using the GYC partial region stability theory, the Lyapunov function used becomes a simple linear homogeneous function of error states and the controllers are simpler than traditional controllers, and give less simulation error because they are in lower order than that of traditional controllers. The chaotic behaviors of a Lorenz system with Legendre function parameters is firstly studied numerically by time histories of states, phase portraits, Poincaré maps, bifurcation diagram, Lyapunov exponents and parameter diagrams. Abundance of hyperchaos and of chaos is found, which offers the potential for many applications. In this thesis, the behavior of historical Chen system is firstly studied. To our best knowledge, most of contemporary Chen system are researched in detail, but there are no articles in investigating a thorough inquiry about the history of Chen system so far. Therefore, the historical chaos of Chen system with “Yin parameters” is introduced. In this thesis, we employ an applicable coupling parameters by linear coupling strategy to complete the goal of generalized synchronization of Yin and Yang Chen systems and take advantage of using an adaptive Yin-Yang chaos synchronization of Yin and Yang Chen system by pragmatical asymptotically stability theorem. This pragmatical adaptive synchronization of two chaotic systems of which one has uncertain parameters the another has estimated parameters, is achieved by pragmatical asymptotically stability theorem.
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Generalized Liu chaotic system"

1

Vaidyanathan, Sundarapandian, and Sarasu Pakiriswamy. "Generalized Projective Synchronization of a Novel Chaotic System with a Quartic Nonlinearity via Adaptive Control." In Advances and Applications in Chaotic Systems. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30279-9_18.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Vaidyanathan, Sundarapandian. "Generalized Projective Synchronization of Vaidyanathan Chaotic System via Active and Adaptive Control." In Advances and Applications in Nonlinear Control Systems. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30169-3_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Voliansky, Roman, Nina Volianska, Vitaliy Kuznetsov, Mykola Tryputen, Alisa Kuznetsova, and Maksym Tryputen. "The Generalized Chaotic System in the Hyper-complex Form and Its Transformations." In Lecture Notes in Networks and Systems. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-03877-8_31.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Čelikovský, Sergej, and Volodymyr Lynnyk. "Message Embedded Synchronization for the Generalized Lorenz System and Its Use for Chaotic Masking." In Nostradamus 2013: Prediction, Modeling and Analysis of Complex Systems. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00542-3_32.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Nagaram, Nagadevi Bala, Suresh Rasappan, Regan Murugesan, Kala Raja Mohan, and Hanaa Hachimi. "Hybrid Phase Synchronization for Generalized Stretch, Twist, Fold Flow Chaotic System of Fractional Order." In Proceedings of 2nd International Conference on Mathematical Modeling and Computational Science. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-0182-9_17.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Kumar, Sanjay, and Ram Pravesh Prasad. "Anti-synchronization Between Different Nonlinear Chaotic Systems Via Active Nonlinear Control Method." In Optimization Techniques for Decision-making and Information Security. BENTHAM SCIENCE PUBLISHERS, 2024. http://dx.doi.org/10.2174/9789815196320124030008.

Full text
Abstract:
This research article establishes anti-synchronization between the three-dimensional non-identical nonlinear Chen-Lee, Lorenz-Stenflo and Liu-Chen chaotic systems via active nonlinear control techniques. Phase portraits of master and slave systems in the form of antisynchronization are investigated. The stability results are discussed by the stability theory of Lyapunov function. Anti-synchronization of chaotic Chen-Lee system and chaotic Lorenzstenflo systems as well as anti-synchronization of chaotic Chen-Lee and Liu-Chen systems have been established using active control methodologies. The active control method is more efficient to obtain the anti-synchronization between different chaotic systems. Numerical results are also discussed by the proposed method.
APA, Harvard, Vancouver, ISO, and other styles
7

Alain, Kammogne Soup Tewa, Kengne Romanic, Ahmad Taher Azar, Sundarapandian Vaidyanathan, Fotsin Hilaire Bertrand, and Ngo Mouelas Adèle. "Dynamics Analysis and Synchronization in Relay Coupled Fractional Order Colpitts Oscillators." In Advances in System Dynamics and Control. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-4077-9.ch011.

Full text
Abstract:
In this chapter, the dynamics of a particular topology of Colpitts oscillator with fractional order dynamics is presented. The first part is devoted to the dynamics of the model using standard nonlinear analysis techniques including time series, bifurcation diagrams, phase space trajectories plots, and Lyapunov exponents. One of the major results of this innovative work is the numerical finding of a parameter region in which the fractional order Colpitts oscillator's circuit experiences multiple attractors' behavior. This phenomenon was not reported previously in the Colpitts circuit (despite the huge amount of related research works) and thus represents an enriching contribution to the understanding of the dynamics of Chua's oscillator. The second part of this chapter deals with the synchronization of fractional order system. Based on fractional-order Lyapunov stability theory, this chapter provides a novel method to achieve generalized and phase synchronization of two and network fractional-order chaotic Colpitts oscillators, respectively.
APA, Harvard, Vancouver, ISO, and other styles
8

Boulkroune, Abdesselem, and Amina Boubellouta. "Fuzzy Control-Based Synchronization of Fractional-Order Chaotic Systems With Input Nonlinearities." In Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-5418-9.ch009.

Full text
Abstract:
This chapter addresses the fuzzy adaptive controller design for the generalized projective synchronization (GPS) of incommensurate fractional-order chaotic systems with actuator nonlinearities. The considered master-slave systems are with different fractional-orders, uncertain models, unknown bounded disturbances, and non-identical form. The suggested controller includes two keys terms, namely a fuzzy adaptive control and a fractional-order variable structure control. The fuzzy logic systems are exploited for approximating the system uncertainties. A Lyapunov approach is employed for determining the parameter adaptation laws and proving the stability of the closed-loop system. At last, simulation results are given to demonstrate the validity of the proposed synchronization approach.
APA, Harvard, Vancouver, ISO, and other styles
9

Soukkou, Ammar, and Abdelkrim Boukabou. "Design and Optimization of Generalized PD-Based Control Scheme to Stabilize and to Synchronize Fractional-Order Hyperchaotic Systems." In Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-5418-9.ch011.

Full text
Abstract:
This chapter will establish the importance and significance of studying the fractional-order control of nonlinear dynamical systems and emphasize the link between the factional calculus and famous PID control design. It will lay the foundation related to the research scope, problem formulation, objectives and contributions. As a case study, a fractional-order PD-based feedback (Fo-PDF) control scheme with optimal knowledge base is developed in this work for achieving stabilization and synchronization of a large class of fractional-order chaotic systems (FoCS). Based and derived on Lyapunov stabilization arguments of fractional-order systems, the stability analysis of the closed-loop control system is investigated. The design and multiobjective optimization of Fo-PDF control law is theoretically rigorous and presents a powerful and simple approach to provide a reasonable tradeoff between simplicity, numerical accuracy, and stability analysis in control and synchronization of FoCS. The feasibility and validity of this developed Fo-PDF scheme have been illustrated by numerical simulations using the fractional-order Mathieu-Van Der Pol hyperchaotic system.
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Generalized Liu chaotic system"

1

Zong, Xiao-Ping, and Zi-Yu Diao. "States feedback control for Liu chaotic system." In 2010 International Conference on Machine Learning and Cybernetics (ICMLC). IEEE, 2010. http://dx.doi.org/10.1109/icmlc.2010.5580617.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Lili Cui and Shutao Wei. "Dynamical analysis of a Liu-like chaotic system." In 2009 Chinese Control and Decision Conference (CCDC). IEEE, 2009. http://dx.doi.org/10.1109/ccdc.2009.5191608.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Li, Yingkui. "The Stability of Hybrid Liu Chaotic System under Impulsive Control." In 2008 Pacific-Asia Workshop on Computational Intelligence and Industrial Application (PACIIA). IEEE, 2008. http://dx.doi.org/10.1109/paciia.2008.366.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Congxu Zhu, Zhigang Chen, and Xu Xia. "Image Dual Watermark Algorithm Based on Lifting Wavelet and Liu Chaotic System." In 2006 6th World Congress on Intelligent Control and Automation. IEEE, 2006. http://dx.doi.org/10.1109/wcica.2006.1714057.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Souaia, Mohamed Adnen, Hatem Trabelsi, and Kamel Ben Saad. "Synchronization of the Liu chaotic system and its application in secure communication." In 2017 International Conference on Control, Automation and Diagnosis (ICCAD). IEEE, 2017. http://dx.doi.org/10.1109/cadiag.2017.8075698.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Xu, Birong. "Chaotic Synchronization of Nonlinear-Coupled Fractional-order Liu System and Secure Communication." In 2015 International Symposium on Computers and Informatics. Atlantis Press, 2015. http://dx.doi.org/10.2991/isci-15.2015.63.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Song, Shuai, and Xiaona Song. "T-S fuzzy control for fractional order Liu chaotic system with uncertain parameters." In 2016 IEEE International Conference on Information and Automation (ICIA). IEEE, 2016. http://dx.doi.org/10.1109/icinfa.2016.7831827.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Xu, Mei-Jin, Yan Zhao, Xi-Chang Han, and Yu-Yan Zhang. "Generalized asymptotic synchronization between Chen hyperchaotic system and Liu hyperchaotic system: A fuzzy modeling method." In 2009 Chinese Control and Decision Conference (CCDC). IEEE, 2009. http://dx.doi.org/10.1109/ccdc.2009.5195081.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Voliansky, Roman, Mykola Pushkar, Oleg Sergienko, Nataliya Krasnoshapka, Oleksiy Sinkevych, and Nina Volianska. "Design of the Generalized Infinite-Dimensional Chaotic System." In 2023 IEEE 5th International Conference on Advanced Information and Communication Technologies (AICT). IEEE, 2023. http://dx.doi.org/10.1109/aict61584.2023.10452667.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Bao, Bocheng, Zhong Liu, Xiaofeng Wang, and Jianping Xu. "Generalized projective synchronization of n-Scroll chaotic jerk system." In 2009 International Conference on Communications, Circuits and Systems (ICCCAS). IEEE, 2009. http://dx.doi.org/10.1109/icccas.2009.5250366.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Generalized Liu chaotic system' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography