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Global Existence of Periodic Solutions in a Nonlinear Delay-Coupling Chaos System
College of Sciences, Nanjing University of Technology, Nanjing, China
Department of Mathematics and Computer Science, Ningxia Normal University, Guyuan, China
College of Sciences, Nanjing University of Technology, Nanjing, China
- 1 College of Sciences, Nanjing University of Technology, Nanjing, China
- 2 Department of Mathematics and Computer Science, Ningxia Normal University, Guyuan, China
- 3 College of Sciences, Nanjing University of Technology, Nanjing, China
American Journal of Computational Mathematics·Volume 06 (2016)·Pages 23–31·Published 23 February 2016·DOI10.4236/ajcm.2016.61003
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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.
KeywordsUnidirectional Delayed-CouplingChaos SystemHopf BifurcationPeriodic Solution
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