Canard explosion in chemical and optical systems

DOI10.3934/DCDSB.2013.18.495zbMath1270.34161OpenAlexW2328192652MaRDI QIDQ1943311

Olga Korotkova, Elena Shchepakina

Publication date: 19 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2013.18.495

zbMATH Keywords

bifurcationsingular perturbationscombustionchemical kineticscanardsoptical systemssemiconductor amplifier

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Lasers, masers, optical bistability, nonlinear optics (78A60) Chemical kinetics in thermodynamics and heat transfer (80A30) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)

Related Items (3)

Numerical verification of the orders of accuracy of truncated asymptotic expansion solutions to the van der Pol equation ⋮ Study of a homoclinic canard explosion from a degenerate center ⋮ Slow Invariant Manifolds in the Problem of Order Reduction of Singularly Perturbed Systems

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