A Canard Mechanism for Localization in Systems of Globally Coupled Oscillators

DOI10.1137/S0036139902411843zbMath1088.34030OpenAlexW2032728482MaRDI QIDQ4429816

Nancy Kopell, Irving R. Epstein, A. M. Zhabotinsky, Horacio G. Rotstein

Publication date: 28 September 2003

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139902411843

zbMATH Keywords

relaxation oscillatorglobally coupled oscillatorscanard phenomenonlocalization of oscillations

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations of ordinary differential equations (34D15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Relaxation oscillations for ordinary differential equations (34C26)

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