Academic literature on the topic 'Impulsive dynamic equation'

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Journal articles on the topic "Impulsive dynamic equation"

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He, Mengxin, Zhong Li, and Fengde Chen. "Dynamic of a nonautonomous two-species impulsive competitive system with infinite delays." Open Mathematics 17, no. 1 (2019): 776–94. http://dx.doi.org/10.1515/math-2019-0062.

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Abstract In this paper, we consider a nonautonomous two-species impulsive competitive system with infinite delays. By the impulsive comparison theorem and some mathematical analysis, we investigate the permanence, extinction and global attractivity of the system, as well as the influence of impulse perturbation on the dynamic behaviors of this system. For the logistic type impulsive equation with infinite delay, our results improve those of Xuxin Yang, Weibing Wang and Jianhua Shen [Permanence of a logistic type impulsive equation with infinite delay, Applied Mathematics Letters, 24(2011), 420
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Babiarz, Artur, Jerzy Klamka, and Michał Niezabitowski. "Schauder’s fixed-point theorem in approximate controllability problems." International Journal of Applied Mathematics and Computer Science 26, no. 2 (2016): 263–75. http://dx.doi.org/10.1515/amcs-2016-0018.

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AbstractThe main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder’s fixed-point theorem. We describe the results of approximate controllability for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions, impulsive neutral functional evolution integro-differential systems, stochastic impulsive systems with
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Igobi, D. K., and U. Abasiekwere. "Results on Uniqueness of Solution of Nonhomogeneous Impulsive Retarded Equation Using the Generalized Ordinary Differential Equation." International Journal of Differential Equations 2019 (March 20, 2019): 1–9. http://dx.doi.org/10.1155/2019/2523615.

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In this work, we consider an initial value problem of a nonhomogeneous retarded functional equation coupled with the impulsive term. The fundamental matrix theorem is employed to derive the integral equivalent of the equation which is Lebesgue integrable. The integral equivalent equation with impulses satisfying the Carathéodory and Lipschitz conditions is embedded in the space of generalized ordinary differential equations (GODEs), and the correspondence between the generalized ordinary differential equation and the nonhomogeneous retarded equation coupled with impulsive term is established b
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Mao, Jian, Yu Fu, and Peichao Li. "Dynamics of Periodic Impulsive Collision in Escapement Mechanism." Shock and Vibration 20, no. 5 (2013): 1001–10. http://dx.doi.org/10.1155/2013/350429.

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Among various non-smooth dynamic systems, the periodically forced oscillation system with impact is perhaps the most common in engineering applications. The dynamical study becomes complicated due to the impact. This paper presents a systematic study on the periodically forced oscillation system with impact. A simplified model of the escapement mechanism is introduced. Impulsive differential equation and Poincare map are applied to describe the model and study the stability of the system. Numerical examples are given and the results show that the model is highly accurate in describing/predicti
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Zhao, Wen Cai, Tong Qian Zhang, and Zheng Bo Chang. "Mathematical and Dynamic Analysis of a Gompertz Ecosystem with Impulsive Control Strategy and Stage Structure for Predator." Advanced Materials Research 538-541 (June 2012): 2522–25. http://dx.doi.org/10.4028/www.scientific.net/amr.538-541.2522.

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In this paper, on the basis of the theories and methods of ecology and ordinary differential equations, an ecological Gompertz model with Holling III functional response and stage structure for predator is established. By use of the stroboscopic map, a predator extinction periodic solution is obtained, and the global attractivity of the predator extinction periodic solution is analyzed. By using comparison theorem of impulsive differential equation and small amplitude perturbation skills, we get the sufficient condition for permanence of the system under impulsive harvest strategy for the prey
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Li, Ying, and Yuanfu Shao. "Dynamic analysis of an impulsive differential equation with time-varying delays." Applications of Mathematics 59, no. 1 (2014): 85–98. http://dx.doi.org/10.1007/s10492-014-0043-9.

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Akhmet, Marat, and Mehmet Onur Fen. "Li–Yorke Chaos in Hybrid Systems on a Time Scale." International Journal of Bifurcation and Chaos 25, no. 14 (2015): 1540024. http://dx.doi.org/10.1142/s0218127415400246.

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By using the reduction technique to impulsive differential equations [Akhmet & Turan, 2006], we rigorously prove the presence of chaos in dynamic equations on time scales (DETS). The results of the present study are based on the Li–Yorke definition of chaos. This is the first time in the literature that chaos is obtained for DETS. An illustrative example is presented by means of a Duffing equation on a time scale.
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Ahn, Kwanghyun, and Hoon Huh. "Dynamic Hardening Equation of Nickel-Based Superalloy Inconel 718." Key Engineering Materials 535-536 (January 2013): 129–32. http://dx.doi.org/10.4028/www.scientific.net/kem.535-536.129.

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The dynamic response of the turbine blade materials is indispensable for analysis of erosions of turbine blades as a result of impulsive loading associated with gas flow. This paper is concerned with the dynamic hardening equation of the Nickel-based superalloy Inconel 718 which is widely used in the high speed turbine blade. Reported representative dynamic hardening equations have been constructed and evaluated using the dynamic hardening characteristics of the Inconel 718. Dynamic hardening characteristics of the Inconel 718 have been obtained by uniaxial tensile tests and SHPB tests. Uniaxi
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LIU, BING, YUJUAN ZHANG, and LANSUN CHEN. "DYNAMIC COMPLEXITIES IN A LOTKA–VOLTERRA PREDATOR–PREY MODEL CONCERNING IMPULSIVE CONTROL STRATEGY." International Journal of Bifurcation and Chaos 15, no. 02 (2005): 517–31. http://dx.doi.org/10.1142/s0218127405012338.

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Based on the classical Lotka–Volterra predator–prey system, an impulsive differential equation to model the process of periodically releasing natural enemies and spraying pesticides at different fixed times for pest control is proposed and investigated. It is proved that there exists a globally asymptotically stable pest-eradication periodic solution when the impulsive period is less than some critical value. Otherwise, the system can be permanent. We observe that our impulsive control strategy is more effective than the classical one if we take chemical control efficiently. Numerical results
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Wang, Chao, Zhien Li, and Ravi P. Agarwal. "Fundamental solution matrix and Cauchy properties of quaternion combined impulsive matrix dynamic equation on time scales." Analele Universitatii "Ovidius" Constanta - Seria Matematica 29, no. 2 (2021): 107–30. http://dx.doi.org/10.2478/auom-2021-0021.

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Abstract In this paper, we establish some basic results for quaternion combined impulsive matrix dynamic equation on time scales for the first time. Quaternion matrix combined-exponential function is introduced and some basic properties are obtained. Based on this, the fundamental solution matrix and corresponding Cauchy matrix for a class of quaternion matrix dynamic equation with combined derivatives and bi-directional impulses are derived.
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Dissertations / Theses on the topic "Impulsive dynamic equation"

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Nersesov, Sergey G. "Nonlinear Impulsive and Hybrid Dynamical Systems." Diss., Georgia Institute of Technology, 2005. http://hdl.handle.net/1853/7147.

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Modern complex dynamical systems typically possess a multiechelon hierarchical hybrid structure characterized by continuous-time dynamics at the lower-level units and logical decision-making units at the higher-level of hierarchy. Hybrid dynamical systems involve an interacting countable collection of dynamical systems defined on subregions of the partitioned state space. Thus, in addition to traditional control systems, hybrid control systems involve supervising controllers which serve to coordinate the (sometimes competing) actions of the lower-level controllers. A subclass of hybrid dynamic
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Chenel, Aurélie. "Dynamique et contrôle de systèmes quantiques ouverts." Phd thesis, Université Paris Sud - Paris XI, 2014. http://tel.archives-ouvertes.fr/tel-01061945.

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L'étude des effets quantiques, comme les cohérences quantiques, et leur exploitation en contrôle par impulsion laser constituent encore un défi numérique pour les systèmes de grande taille. Pour réduire la dimensionnalité du problème, la dynamique dissipative se focalise sur un sous-espace quantique dénommé 'système', qui inclut les degrés de liberté les plus importants. Le système est couplé à un bain thermique d'oscillateurs harmoniques. L'outil essentiel de la dynamique dissipative est la densité spectrale du bain, qui contient toutes les informations sur le bain et sur l'interaction entre
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Liang, Yi Chang, and 梁益昌. "PBVPs of first-order impulsive dynamic equations on time scales." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/79901829100172007931.

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碩士<br>國立政治大學<br>應用數學研究所<br>97<br>In this thesis, we are concernd with nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales. By using Schaefer’s theorem and Banach’s fixed point theorem we acquire some new existence results.
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Books on the topic "Impulsive dynamic equation"

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N, Sesekin A., ed. Dynamic Impulse Systems: Theory and Applications. Springer Netherlands, 1997.

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United States. National Aeronautics and Space Administration., ed. Identification of linear and nonlinear aerodynamic impulse responses using digital filter techniques. National Aeronautics and Space Administration, 1997.

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Center, Langley Research, ed. Identification of linear and nonlinear aerodynamic impulse responses using digital filter techniques. National Aeronautics and Space Administration, Langley Research Center, 1997.

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Book chapters on the topic "Impulsive dynamic equation"

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Georgiev, Svetlin G. "Impulsive Functional Dynamic Equations." In Functional Dynamic Equations on Time Scales. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15420-2_14.

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Georgiev, Svetlin G. "Impulsive Fuzzy Dynamic Equations." In Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76132-5_5.

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Georgiev, Svetlin G. "Linear Impulsive Dynamic Systems." In Functional Dynamic Equations on Time Scales. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15420-2_15.

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Zavalishchin, S. T., and A. N. Sesekin. "Equations in Distributions: new approaches." In Dynamic Impulse Systems. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8893-5_2.

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Brogliato, Bernard. "Impulsive Dynamics and Measure Differential Equations." In Communications and Control Engineering. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28664-8_1.

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Wang, Chao, Ravi P. Agarwal, Donal O’Regan, and Rathinasamy Sakthivel. "Impulsive Dynamic Equations on Translation Time Scales." In Theory of Translation Closedness for Time Scales. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38644-3_7.

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Diamond, Phil. "Impulsive Evolution Equations and Population Models." In Dynamics of Complex Interconnected Biological Systems. Birkhäuser Boston, 1990. http://dx.doi.org/10.1007/978-1-4684-6784-0_10.

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Church, Kevin E. M., and Xinzhi Liu. "The Hutchinson Equation with Pulse Harvesting." In Bifurcation Theory of Impulsive Dynamical Systems. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-64533-5_17.

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Zavalishchin, S. T., and A. N. Sesekin. "Discontinuous Solutions to Ordinary Nonlinear Differential Equations in the Space of Functions of Bounded Variation." In Dynamic Impulse Systems. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8893-5_5.

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Georgiev, Svetlin G. "Boundary Value Problems for First Order Impulsive Dynamic Inclusions." In Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76132-5_9.

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Conference papers on the topic "Impulsive dynamic equation"

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Ochiai, Masayuki, and Hiromu Hashimoto. "Vibration Analysis of High Speed Stepped Thrust Gas Film Bearings With Inertia Effects." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4047.

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Abstract Stepped thrust gas film bearings are widely used for high speed rotating machinery because of their simple structure, relatively high load carrying capacity and stability. In such bearings, the gas film inertia forces may play an important role under high speed conditions. In this paper, the vibration analysis of high speed, stepped thrust gas film bearings considering the inertia effects is described. In the numerical analysis, the static and dynamic pressure distributions in pocket and land regions are evaluated from the generalized Reynolds equation considering the centrifugal forc
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Bonotto, Everaldo, Matheus Bortolan, Tomas Caraballo, and Rodolfo Collegari. "A survey on impulsive dynamical systems." In The 10'th Colloquium on the Qualitative Theory of Differential Equations. Bolyai Institute, SZTE, 2016. http://dx.doi.org/10.14232/ejqtde.2016.8.7.

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Minhós, Feliz, and João Fialho. "High order periodic impulsive problems." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0446.

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Ma, Wentao, Xuning Zhao, and Kevin Wang. "A Fluid-Structure Coupled Computational Model for the Certification of Shock-Resistant Elastomer Coatings." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18501.

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Abstract Shock waves from underwater and air explosions are significant threats to surface and underwater vehicles and structures. Recent studies on the mechanical and thermal properties of various phase-separated elastomers indicate the possibility of applying these materials as a coating to mitigate shock-induced structural failures. To demonstrate this approach and investigate its efficacy, this paper presents a fluid-structure coupled computational model capable of predicting the dynamic response of air-backed bilayer (i.e. elastomer coating – metal substrate) structures submerged in water
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Narahari Achar, B. N., and John W. Hanneken. "Response Dynamics in the Continuum Limit of the Lattice Dynamical Theory of Viscoelasticity (Fractional Calculus Approach)." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86218.

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A fractional diffusion-wave equation is derived in the continuum limit of the lattice dynamical equations of motion of a chain of coupled fractional oscillators obtained from the integral equations of motion of a linear chain of simple harmonic oscillators by generalization of the ordinary integrals into ones involving fractional integrals. The set of integral equations of motion pertaining to the chain of coupled fractional oscillators in the continuum limit is solved by using Laplace transforms. The response of the system to impulse and sinusoidal forcing is studied. Numerical applications a
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Carapinha, Rui, and Feliz Minhós. "On higher order nonlinear impulsive boundary value problems." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0851.

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Mukherjee, Rudranarayan M. "Operational Space Impulse Momentum Algorithm for Flexible Multibody Systems With Generalized Topologies." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48886.

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This paper presents a new methodology for modeling discontinuous dynamics of flexible and rigid multibody systems based on the impulse momentum formulation. The new methodology is based on the seminal idea of the divide and conquer scheme for modeling the forward dynamics of rigid multibody systems. While a similar impulse momentum approach has been demonstrated for multibody systems in tree topologies, this paper presents the generalization of the approach to systems in generalized topologies including many coupled kinematically closed loops. The approach utilizes a hierarchic assembly-disass
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Mueschke, Nicholas J., Wayne N. Kraft, Malcolm J. Andrews, and Jeffrey W. Jacobs. "Numerical Investigation of Internal Vortex Structure in Two-Dimensional, Incompressible Richtmyer-Meshkov Flows." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-82723.

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Richtmyer-Meshkov (RM) instability occurs when one fluid is impulsively accelerated into a second fluid, such that ρ1 ≠ ρ2. This research numerically investigates RM instabilities between incompressible media, similar to the experiments reported by Niederhaus &amp; Jacobs [1]. A two-dimensional, finite-volume numerical algorithm has been developed to solve the variable density Navier-Stokes equations explicitly on a Cartesian, co-located grid. In previous calculations, no physical viscosity was implemented; however, small scale fluctuations were damped by the numerical algorithm. In contrast,
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De la Sen, M., and S. Alonso-Quesada. "On the impulsive Beverton-Holt equation and extinction conditions in population dynamics." In 2011 IEEE International Conference on Quality and Reliability (ICQR). IEEE, 2011. http://dx.doi.org/10.1109/icqr.2011.6031710.

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Ma, Weiyuan, Changpin Li, and Yujiang Wu. "Pinning Impulsive Synchronization of Fractional Complex Dynamical Networks." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47029.

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In this paper, a class of fractional complex dynamical networks is synchronized via pinning impulsive control. At first, a comparison principle is established for fractional impulsive differential equations. Then the synchronization criterion is obtained by using the derived comparison principle. Examples are given to illustrate the results.
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