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Mahmoud, Gamal M.; Farghaly, Ahmed A. M.

Chaos control of chaotic limit cycles of real and complex van der Pol oscillators. (English) Zbl 1046.70014

Chaos Solitons Fractals 21, No. 4, 915-924 (2004).
From the summary: We examine the chaos control of chaotic unstable limit cycles of real and complex (or coupled) nonlinear van der Pol oscillators. The presence of chaotic limit cycles is verified by calculating largest Lyapunov exponent and the power spectrum. The problem of chaos control of these limit cycles is studied using a feedback control method, which is based on the construction of a special form of a time-continuous perturbation. We investigate both real and complex (or coupled) van der Pol oscillators.

Cited in 27 Documents

MSC:

70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics
70K05 Phase plane analysis, limit cycles for nonlinear problems in mechanics
70Q05 Control of mechanical systems
93C10 Nonlinear systems in control theory
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\textit{G. M. Mahmoud} and \textit{A. A. M. Farghaly}, Chaos Solitons Fractals 21, No. 4, 915--924 (2004; Zbl 1046.70014)
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