A new randomness-generating mechanism in forced relaxation oscillations

DOI10.1016/S0167-2789(97)00221-2zbMath0944.37021MaRDI QIDQ1963428

Mark Levi

Publication date: 1 February 2000

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

strange attractorrelaxation oscillatorshyperbolic behavior

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Generation, random and stochastic difference and differential equations (37H10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• The dynamics of the Hénon map
• Symbolic dynamics and relaxation oscillations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Relaxation oscillations of a van der Pol equation with large critical forcing term
• Qualitative analysis of the periodically forced relaxation oscillations
• Frequency Entrainment of a Forced van der Pol Oscillator
• A Period-Adding Phenomenon
• A second order differential equation with singular solutions

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