Control of limit cycle oscillations of a two-dimensional aeroelastic system.
Ghommem, M., Nayfeh, A.H., Hajj, M.R. (2010)
Mathematical Problems in Engineering
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Ghommem, M., Nayfeh, A.H., Hajj, M.R. (2010)
Mathematical Problems in Engineering
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Kun-Yi Yang, Chun Xia An (2021)
Kybernetika
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In this paper, a five-dimensional energy demand-supply system has been considered. On the one hand, we analyze the stability for all of the equilibrium points of the system. For each of equilibrium point, by analyzing the characteristic equation, we show the conditions for the stability or instability using Routh-Hurwitz criterion. Then numerical simulations have been given to illustrate all of cases for the theoretical results. On the other hand, by introducing the phenomenon of time...
Xu, Meihong, Wei, Yuan, Wei, Junjie (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Yuri A. Kuznetsov, Carlo Piccardi (1994)
Kybernetika
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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...
De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
Mathematical Problems in Engineering
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D. R. J. Chillingworth (1985)
Banach Center Publications
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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...