Interaction between discontinuity and non-invertibility in a relaxation oscillator

DOI10.1016/S0167-2789(05)80013-2zbMath0900.70277OpenAlexW4238117104WikidataQ58195550 ScholiaQ58195550MaRDI QIDQ1341018

V. Pereyra

Publication date: 21 December 1994

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(05)80013-2

zbMATH Keywords

parameter spacecircle mapssinusoidally driven oscillatorphase lockingsupercritical behaviorone-dimensional phase dynamics

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)

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Cites Work

• Unnamed Item
• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• The autonomous chaotic relaxation oscillator: An electrical analogue to the dripping faucet
• Circle map behaviour of a modulated relaxation oscillator
• Crisis-induced chaos in the Rose-Hindmarsh model for neuronal activity
• A simple model for phase locking of biological oscillators
• Three-frequency quasiperiodicity, phase locking, and the onset of chaos
• Chaotic Behavior in Piecewise Continuous Difference Equations
• Cardiac arrhythmias and circle maps−A classical problem
• New type of intermittency in discontinuous maps

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