The role of slow system dynamics in predicting the degeneracy of slow invariant manifolds: the case of vdP relaxation-oscillations

DOI10.1016/j.physd.2012.12.013zbMath1284.34101OpenAlexW2084511933MaRDI QIDQ1948100

Dimitrios A. Goussis

Publication date: 30 April 2013

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

Full work available at URL: https://doi.org/10.1016/j.physd.2012.12.013

zbMATH Keywords

singular perturbationsmodel reductionvan der Pol equationrelaxation oscillationsslow invariant manifolds

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Chemical kinetics in thermodynamics and heat transfer (80A30) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13) Relaxation oscillations for ordinary differential equations (34C26)

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