Bifurcation analysis of a linear Hamiltonian system with two kinds of impulsive control |
| |
| Authors: | Zhongjun Ma Yi Wang Guirong Jiang |
| |
| Institution: | 1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, 541004, China
2. Zhejiang University of Finance and Economics, Hangzhou, 310012, China
|
| |
| Abstract: | 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?CSacker 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
