No limit cycle in two species second order kinetics.

DOI10.1016/S0007-4497(03)00019-8zbMath1034.34034OpenAlexW2041942428MaRDI QIDQ1408444

Bertrand Schuman, János Tóth

Publication date: 15 September 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(03)00019-8

zbMATH Keywords

Periodic orbitsLimit cycleBimolecular systemCenter problemIsochronous center problemOscillatory reactionSecond-order reaction

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Chemical kinetics in thermodynamics and heat transfer (80A30) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Chemical reaction systems with a homoclinic bifurcation: an inverse problem ⋮ Chemical systems with limit cycles ⋮ Quadratic first integrals of kinetic differential equations ⋮ BIFURCATION OF MULTIPLE LIMIT CYCLES FOR A ROTOR-ACTIVE MAGNETIC BEARINGS SYSTEM WITH TIME-VARYING STIFFNESS ⋮ Turing instabilities at Hopf bifurcation

Cites Work

• Smallest chemical reaction system with Hopf bifurcation
• Bifurcation of limit cycles from quadratic isochrones
• Quadratic systems with center and their perturbations
• Chemical systems consisting only of elementary steps -- a paradigma for nonlinear behavior
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