Bifurcation analysis of a linear Hamiltonian system with two kinds of impulsive control

被引：0
作者：
Zhongjun Ma
Yi Wang
Guirong Jiang
机构：
[1] Guilin University of Electronic Technology,School of Mathematics and Computing Science
[2] Zhejiang University of Finance and Economics,undefined
来源：
Nonlinear Dynamics | 2012年 / 70卷
关键词：
Hamiltonian system; Impulsive control; Periodic solution; Neimark–Sacker bifurcation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the dynamical behavior of a linear Hamiltonian system under two kinds of impulsive control is discussed by means of both theoretical and numerical ways. The existence and stability of the periodic solution are investigated. Moreover, the conditions of existence for a Neimark–Sacker bifurcation are derived by using a discrete map. Numerical results for phase portraits, periodic solutions, and bifurcation diagrams are in good agreement with the theoretical analysis.
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页码：2367 / 2374
页数：7
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共 41 条
[1]  
d’Onofrio A.(2004)Mixed pulse vaccination strategy in epidemic model with realistically distributed infectious and latent times Appl. Math. Comput. 151 181-187
[2]  
Li C.G.(2008)Impulsive control of stochastic systems with applications in chaos control, chaos synchronization, and neural networks Chaos 18 2131-2136
[3]  
Chen L.N.(2012)An impulsive multi-delayed feedback control method for stabilizing discrete chaotic systems Nonlinear Dyn. 373 e1320-e1327
[4]  
Aihara K.(2012)Robust tracking control method based on composite nonlinear feedback technique for linear systems with time-varying uncertain parameters and disturbances Nonlinear Dyn. 71 153-160
[5]  
Li N.(2012)Finite time chaos control for a class of chaotic systems with input nonlinearities via TSM scheme Nonlinear Dyn. 298 1003-1007
[6]  
Yuan H.Q.(2012)Outer synchronization of complex networks with delay via impulse Nonlinear Dyn. 23 790-803
[7]  
Sun H.Y.(2012)Synchronization criteria for impulsive complex dynamical networks with time-varying delay Nonlinear Dyn. 190 544-555
[8]  
Zhang Q.L.(2009)Chaotification of discrete dynamical systems via impulsive control Phys. Lett. A 224 2232-2244
[9]  
Mobayen S.(2009)Impulsive synchronization of chaotic systems subject to time delay Nonlinear Anal. 12 3453-3460
[10]  
Majd V.J.(2002)Impulsive control for the stabilization and synchronization of Lorenz systems Phys. Lett. A 217 undefined-undefined
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