Author(s)

Yanqiu Li¹, Jihua Yang², Feng Rao¹

¹College of Sciences, Nanjing University of Technology, Nanjing, China.
²Department of Mathematics and Computer Science, Ningxia Normal University, Guyuan, China.

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.

Unidirectional Delayed-Coupling, Chaos System, Hopf Bifurcation, Periodic Solution

Li, Y. , Yang, J. and Rao, F. (2016) Global Existence of Periodic Solutions in a Nonlinear Delay-Coupling Chaos System. American Journal of Computational Mathematics, 6, 23-31. doi: 10.4236/ajcm.2016.61003.