Bifurcations and chaos in a periodically forced prototype adaptive control system
Yuri A. Kuznetsov, Carlo Piccardi (1994)
Kybernetika
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Yuri A. Kuznetsov, Carlo Piccardi (1994)
Kybernetika
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Wang, Yuefang, Wang, Xiaoyan (2010)
Mathematical Problems in Engineering
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Kun-Yi Yang, Ling-Li Zhang, Jie Zhang (2015)
Kybernetika
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This paper considers a three-dimensional energy demand-supply system which typically demonstrates the relationship between the amount of energy supply and that of energy demand for the two regions in China. A delayed feedback controller is proposed to stabilize the system which was originally unstable even under some other controllers. The stability properties of the equilibrium points are subsequently analyzed and it is found that the Hopf bifurcation appears under some conditions....
Dimitrova, Neli (2009)
Serdica Journal of Computing
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This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02– 359/2008. We consider a nonlinear model of a continuously stirred bioreactor and study the stability of the equilibrium points with respect to practically important model parameters. We determine regions in the parameter space where the steady states undergo transcritical and Hopf bifurcations. In the latter case, the stability of the emerged limit cycles is also studied. Numerical simulations...
De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
Mathematical Problems in Engineering
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Xu, J., Chung, K.W. (2009)
Mathematical Problems in Engineering
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Xin, Baogui, Chen, Tong, Ma, Junhai (2010)
Discrete Dynamics in Nature and Society
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El Aroudi, Abdelali, Moreno-Font, Vanessa, Benadero, Luis (2009)
Mathematical Problems in Engineering
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Xu, Meihong, Wei, Yuan, Wei, Junjie (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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