Bifurcations and chaos in a periodically forced prototype adaptive control system
Yuri A. Kuznetsov, Carlo Piccardi (1994)
Kybernetika
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Displaying similar documents to “Control of limit cycle oscillations of a two-dimensional aeroelastic system.”
Bifurcations and chaos in a periodically forced prototype adaptive control system
Nonlinear vibration analysis for a Jeffcott rotor with seal and air-film bearing excitations.
Wang, Yuefang, Wang, Xiaoyan (2010)
Mathematical Problems in Engineering
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Stability analysis of a three-dimensional energy demand-supply system under delayed feedback control
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....
Local Bifurcations in a Nonlinear Model of a Bioreactor
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...
Bifurcation analysis of a van der Pol-Duffing circuit with parallel resistor.
De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
Mathematical Problems in Engineering
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Double Hopf bifurcation with strong resonances in delayed systems with nonlinearities.
Xu, J., Chung, K.W. (2009)
Mathematical Problems in Engineering
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Neimark-Sacker bifurcation in a discrete-time financial system.
Xin, Baogui, Chen, Tong, Ma, Junhai (2010)
Discrete Dynamics in Nature and Society
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Dynamical analysis of an interleaved single inductor TITO switching regulator.
El Aroudi, Abdelali, Moreno-Font, Vanessa, Benadero, Luis (2009)
Mathematical Problems in Engineering
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Bifurcation analysis of Rössler system with multiple delayed feedback.
Xu, Meihong, Wei, Yuan, Wei, Junjie (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Bifurcations in a modulation equation for alternans in a cardiac fiber
Shu Dai, David G. Schaeffer (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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While alternans in a single cardiac cell appears through a simple period-doubling bifurcation, in extended tissue the exact nature of the bifurcation is unclear. In particular, the phase of alternans can exhibit wave-like spatial dependence, either stationary or travelling, which is known as alternans. We study these phenomena in simple cardiac models through a modulation equation proposed by Echebarria-Karma. As shown in our previous paper, the zero solution of their equation may...