Paper Info
Title
Periodic Sinks And Periodic Saddle Orbits Induced By Heteroclinic Bifurcation In Three-Dimensional Piecewise Linear Systems With Two Zones
Abstract
For general three-dimensional piecewise linear systems, some explicit sufficient conditions are achieved for the existence of a heteroclinic loop connecting a saddle-focus and a saddle with purely real eigenvalues. Furthermore, certain sufficient conditions are obtained for the existence and number of periodic orbits induced by the heteroclinic bifurcation, through close analysis of the fixed points of the parameterized Poincare map constructed along the hereroclinic loop. It turns out that the number can be zero, one, finite number or countable infinity, as the case may be. Some sufficient conditions are also acquired that guarantee these periodic orbits to be periodic sinks or periodic saddle orbits, respectively, and the main results are illustrated lastly by some examples. (C) 2021 Elsevier Inc. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.amc.2021.126200
APPLIED MATHEMATICS AND COMPUTATION
Keywords
DocType
Volume
Periodic orbits, Bifurcation, Stability, Periodic sinks, Periodic saddle orbits, Heteroclinic loops, Piecewise linear systems
Journal
404
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Lei Wang101.01
Qingdu Li216026.78
Xiao-Song Yang302.03