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Global Existence of Periodic Solutions in a Nonlinear Delay-coupling Chaos System


Affiliations
1 College of Sciences, Nanjing University of Technology, Nanjing, China
2 Department 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.

Keywords

Unidirectional Delayed-Coupling, Chaos System, Hopf Bifurcation, Periodic Solution.
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  • Global Existence of Periodic Solutions in a Nonlinear Delay-coupling Chaos System

Abstract Views: 78  |  PDF Views: 10

Authors

Yanqiu Li
College of Sciences, Nanjing University of Technology, Nanjing, China
Jihua Yang
Department of Mathematics and Computer Science, Ningxia Normal University, Guyuan, China
Feng Rao
College of Sciences, Nanjing University of Technology, Nanjing, China

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.

Keywords


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