Nonlinear systems with fast parametric oscillations

DOI10.1016/0022-247X(83)90212-3zbMath0531.34024MaRDI QIDQ788168

Richard Bellman, Semyon M. Meerkov, Joseph Bentsman

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

method of averagingDuffing equationvan der Pol equationsmall parametersRayleigh equation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (3)

Stabilization of Ziegler's pendulum by means of the method of vibrational control ⋮ Correlation free forms for nonlinear stochastic systems ⋮ Simplified analysis of a hyperbolic system

Cites Work

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• Vibrational control of systems with Arrhenius dynamics
• Bifurcation in the presence of small noise
• Stability of regime-switching stochastic differential equations
• Stability of the inverted pendulum subjected to almost periodic and stochastic base motion - an application of the method of averaging
• Phase Diagrams of Noise Induced Transitions: Exact Results for a Class of External Coloured Noise
• Stabilization of Linear Systems by Noise
• Principle of vibrational control: Theory and applications
• Condition of vibrational stabilizability for a class of nonlinear systems

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