Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation-Reference-Cited by-同舟云学术

Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation

Published:2015 Issue: Volume:2015 Page:1-7
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Xiao Qizhen¹,Dai Binxiang¹

Affiliation:

1. School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China

Abstract

We study the existence of periodic solutions for a class of state-dependent impulsive differential systems via geometrical analysis methods. Our results show that these periodic solutions are generated by impulses. Moreover, numerical simulations are used to examine the existence of the periodic solutions.

Funder

Fundamental Research Funds for the Central Universities of Central South University

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/816325.pdf

Reference27 articles.

1. COMPLEX DYNAMICS OF ONE-PREY MULTI-PREDATOR SYSTEM WITH DEFENSIVE ABILITY OF PREY AND IMPULSIVE BIOLOGICAL CONTROL ON PREDATORS

2. The dynamics of a stage-structured predator–prey system with impulsive effect and Holling mass defence

3. Robust stabilization for uncertain switched impulsive control systems with state delay: An LMI approach

4. Robust Finite-TimeH∞Control for Impulsive Switched Nonlinear Systems with State Delay

5. Asynchronously switched control of discrete impulsive switched systems with time delays

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