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

被引：2
作者：
Ma, Zhongjun [1 ]
Wang, Yi [2 ]
Jiang, Guirong [1 ]
机构：
[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China
[2] Zhejiang Univ Finance & Econ, Hangzhou 310012, Zhejiang, Peoples R China
来源：
NONLINEAR DYNAMICS | 2012年 / 70卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hamiltonian system; Impulsive control; Periodic solution; Neimark; Sacker bifurcation; MODEL; SYNCHRONIZATION;
D O I：
10.1007/s11071-012-0623-8
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
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.
引用
收藏
页码：2367 / 2374
页数：8
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