False bifurcations in chemical systems: canards

DOI10.1098/rsta.1991.0123zbMath0744.92037OpenAlexW2064196255WikidataQ60457729 ScholiaQ60457729MaRDI QIDQ4007274

Bo Peng, Kenneth Showalter, Vilmos Gáspár

Publication date: 27 September 1992

Published in: Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.1991.0123

zbMATH Keywords

oscillatory systemlimit cyclephase planeamplitudevan der Pol oscillatorstable manifoldsunstable manifoldsinflection linefast-slow dynamical systemsautocatalatorcanard behaviourfalse bifurcationoscillatory EOE reactiontwo- variable modeltwo-variabe Oregonatorunstable stationary state

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Classical flows, reactions, etc. in chemistry (92E20) Chemical kinetics in thermodynamics and heat transfer (80A30) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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