HOMOCLINIC BIFURCATION IN SEMI-CONTINUOUS DYNAMIC SYSTEMS-Reference-Cited by-同舟云学术

HOMOCLINIC BIFURCATION IN SEMI-CONTINUOUS DYNAMIC SYSTEMS

Published:2012-08-22 Issue:06 Volume:05 Page:1250059
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

DAI CHUANJUN¹,ZHAO MIN²,CHEN LANSUN³

Affiliation:

1. School of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang 325035, P. R. China

2. School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, P. R. China

3. Institute of Mathematics, Academia Sinica, Beijing 100080, P. R. China

Abstract

In this paper, a class of homoclinic bifurcations in semi-continuous dynamic systems are investigated. On the basis of rotated vector fields theory, existence of order-1 periodic solution and the rotated vector fields of the semi-continuous dynamic system are discussed. Furthermore, homoclinic cycles and homoclinic bifurcations are described. Finally, an example is provided to show the validity of our theoretical results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524512500593

Reference17 articles.

1. Impulsive Differential Equations with a Small Parameter

2. Flows of characteristic 0+ in impulsive semidynamical systems

3. On the stability of double homoclinic and heteroclinic cycles

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