Devil's staircase route to chaos in a forced relaxation oscillator

DOI10.5802/AIF.1391zbMath0793.34028OpenAlexW2333379342MaRDI QIDQ1323152

Lluís Alsedà, Antonio Falcó

Publication date: 16 June 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1994__44_1_109_0

zbMATH Keywords

symbolic dynamicsDevil's staircase route to chaosrelaxation oscillator of the Van der Pol type

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems and ergodic theory (37-XX)

Related Items (2)

ANALYSIS OF TORUS BREAKDOWN INTO CHAOS IN A CONSTRAINT DUFFING VAN DER POL OSCILLATOR ⋮ A characterization of the kneading pair for bimodal degree one circle maps

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• Qualitative analysis of the periodically forced relaxation oscillations
• Rotation sets are closed
• Kneading theory and rotation intervals for a class of circle maps of degree one
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• A second order differential equation with singular solutions

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