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Chaos control of chaotic limit cycles of real and complex van der Pol oscillators. (English) Zbl 1046.70014
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.
MSC:
70K55Transition to stochasticity (chaotic behavior)
70K05Phase plane analysis, limit cycles (general mechanics)
70Q05Control of mechanical systems (general mechanics)
93C10Nonlinear control systems