TITLE:
Global Existence of Periodic Solutions in a Nonlinear Delay-Coupling Chaos System
AUTHORS:
Yanqiu Li, Jihua Yang, Feng Rao
KEYWORDS:
Unidirectional Delayed-Coupling, Chaos System, Hopf Bifurcation, Periodic Solution
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.6 No.1,
March
21,
2016
ABSTRACT: The dynamics of a
unidirectional nonlinear delayed-coupling chaos system is investigated. Based
on the local Hopf bifurcation at the zero equilibrium, we prove the global
existence of periodic solutions using a global Hopf bifurcation result due to
Wu and a Bendixson’s criterion for higher dimensional ordinary differential
equations due to Li & Muldowney.