On the Van-der-Pol oscillator with noisy nonlinearity

DOI10.1088/0951-7715/13/4/320zbMath0961.34024OpenAlexW2070337759MaRDI QIDQ4508724

Götz Grammel

Publication date: 16 May 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/4/320

zbMATH Keywords

method of averagingvan der Pol oscillatorasymptotic behavior of the optimal value functionsexponential stability propertyminimization of average cost functionalsnonautonomous deterministic-noisy perturbationsoptimal open-loop feedback control

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Existence theories for optimal control problems involving ordinary differential equations (49J15) Asymptotic properties of solutions to ordinary differential equations (34D05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Multiple scale methods for ordinary differential equations (34E13)

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Probabilistic characteristics of noisy Van der Pol type oscillator with nonlinear damping

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