Hopf bifurcation analysis for the van der Pol equation with discrete and distributed delays.
Zhou, Xiaobing, Jiang, Murong, Cai, Xiaomei (2011)
Discrete Dynamics in Nature and Society
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Zhou, Xiaobing, Jiang, Murong, Cai, Xiaomei (2011)
Discrete Dynamics in Nature and Society
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Lan Zhang, Cheng Jian Zhang (2008)
Kybernetika
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A four-dimensional hyperchaotic Lü system with multiple time-delay controllers is considered in this paper. Based on the theory of Hopf bifurcation in delay system, we obtain a simple relationship between the parameters when the system has a periodic solution. Numerical simulations show that the assumption is a rational condition, choosing parameter in the determined region can control hyperchaotic Lü system well, the chaotic state is transformed to the periodic orbit. Finally, we consider...
Xu, Meihong, Wei, Yuan, Wei, Junjie (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Qu, Ying, Wei, Junjie (2010)
Discrete Dynamics in Nature and Society
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Xu, J., Chung, K.W. (2009)
Mathematical Problems in Engineering
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Yang, Jun-Yuan, Wang, Xiao-Yan, Li, Xue-Zhi (2011)
Discrete Dynamics in Nature and Society
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Radouane Yafia (2009)
Applicationes Mathematicae
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We consider a system of delay differential equations modelling the tumor-immune system competition with negative immune response and three positive stationary points. The dynamics of the first two positive solutions are studied in terms of the local stability. We are particularly interested in the study of the Hopf bifurcation problem to predict the occurrence and stability of a limit cycle bifurcating from the second positive stationary point, when the delay (taken as a parameter) crosses...
Ding, Xiaohua, Zhang, Rongyan (2008)
Advances in Difference Equations [electronic only]
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Ding, Xiaohua, Li, Wenxue (2006)
Discrete Dynamics in Nature and Society
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Fan, Guihong, Wolkowicz, Gail S.K. (2010)
International Journal of Differential Equations
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Fofana, M.S. (2005)
International Journal of Mathematics and Mathematical Sciences
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Wang, Liancheng, Wu, Xiaoqin P. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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