====== Dynamical system ======

==== Subjects of research ====
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{{image class="right" alt="Bioinformatics" title="Bioinformatics" url="images/web/bioinformatics.jpg"}}
Dynamical systems include the continuous and discrete dynamical systems which are decribed respectively by ordianry differential equations and discrete mapping.

Applications we consider are that apply the theory and methods from dynamical systems to study of particular mathematical models existing in physics, chemistry, biology, neural network and various engineering disciplines.

=== Members ===
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See [[JINGroup JINGroup]]

=== Recent Interests ===
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~1) Analyze the bifurcation phenomena including local bifurcation and global bifurcation
~1) Study chaotic dynamics including the route of chaos, and the analysis of complexity of chaotic dynamics
~1) find the methods for control of chaos and bifurcations.

=== Subjects of entrance exam for PHD in Hunan Normal University ===
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~1)Functional analysis
~1)Bifurcation theory

---Connect with Jing Zhujun by email: ""<a href="mailto:jingzj@math.ac.cn">jingzj@math.ac.cn</a>""
---~- See [[http://mc.hunnu.edu.cn/ Hunan Normal University]]

=== Recent results ===
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~1)Zhujun Jing, Yu Chang, Guanrong Chen, 2004, “Complex dynamics in a permanent-magnet synchronous motor model”, Chaos, Solitons & Fractals, Vol.21, 701-720. (SCI).
~1)Luonan Chen, Ruiqi Wang, Zhujun Jing, Kazuyuki Aihara, 2005, "Cooperative dynamics coordnated by stochastic noise in a multi-cell system", IEEE International symposium on Circuit and Systems, 4791-4794.
~1)Ruiqi Wang, Zhujun Jing, Luonan Chen, 2005, "Modelling periodic oscillation in gene regulatory networks by cyclic feedback systems", Bulletin of Mathematical Biology, Vol. 67, 339-367.
~1)Zhujun Jing, Ruiqi Wang, 2005,“Complex dynamics in Duffing system with two external forcing”, Chaos, Solitons & Fractals, Vol.23, 399-411. (SCI).
~1)Zhujun Jing, Jicai Huang, 2005, “Bifurcation and chaos in a discrete genetic toggle swith system”, Chaos, Solitons & Fractals, Vol.23, 897-908. (SCI).
~1)Ruiqi Wang, Jing Deng, Zhujun Jing, 2006, “Chaos control in Duffing system”, Chaos, Solitons & Fractals, Vol.27, 249-257. (SCI).
~1)Zhujun Jing, Jianping Yang, 2006,“Complex dynamics in pendulum equation with parametric and external excitations(1) and (2)”, International journal of bifurcation and chaos in applied science and engineering , Vol.16, No.9. (SCI).(已付接收函).
~1)Zhujun Jing, Jianping Yang, Wei Feng, 2006,“Bifurcation and chaos in neural excitable system”, Chaos, Solitons & Fractals, Vol.27, 197-215. (SCI).
~1)Zhou Zhan, Wang Jingliang, Jing Zhujun, Wang Ruiqi, 2006, “Complex dynamical behaviors in discrete-time recurrent neural networks with non-symmetric connection matrix”, International journal of bifurcation and chaos in applied science and engineering , Vol.16, No.7. (SCI).(已付接收函).
~1)Zhujun Jing, Jianping Yang, 2006,“Bifurcation and chaos in discrete-time predator-prey system”, Chaos, Solitons & Fractals, Vol.27, 259-277. (SCI).
~1)Zhujun Jing, ZhiyanYang, Tao Jiang, 2006, “Complex dynamis in Duffing-Van der Pol equation”, Chaos, Solitons & Fractals, Vol.27, 722-747. (SCI).
~1)Jianping Yang, Wei Feng, Zhujun Jing, 2006, “Complex dynamics in Josephson system with two external forcing terms”, Chaos, Solitons & Fractals. (SCI).(online)
~1)Jianping Yang, Zhujun Jing, 2006, "Inhibition of chaos in a pendulum equation", Submitted to "Chaos, Solitons & Fractals".
~1)Zhujun Jing, Jin Deng, Jianping Yang, 2006,“Bifurcation and chaos in damped and driven Morse oscillator”, Submitted to "Chaos, Solitons & Fractals".