摘要
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.
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.
作者
Yanqiu Li
Jihua Yang
Feng Rao
Yanqiu Li;Jihua Yang;Feng Rao(College of Sciences, Nanjing University of Technology, Nanjing, China;Department of Mathematics and Computer Science, Ningxia Normal University, Guyuan, China)
