Dynamical properties of chemical systems near Hopf bifurcation points

DOI10.1063/1.1311980zbMath0976.34036OpenAlexW2094768441WikidataQ52951277 ScholiaQ52951277MaRDI QIDQ2726398

Igor Schreiber, Mads Ipsen

Publication date: 17 July 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ea2578b7fb8413201a6d3738574160accafb58d9

zbMATH Keywords

limit cyclenormal formschemical systemsHopf bifurcation points

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (2)

Amplitude equations for reaction-diffusion systems with a Hopf bifurcation and slow real modes ⋮ Simulation of waves in calcium models with 3D spherical geometry

Uses Software

• LAPACK

Cites Work

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• Chemical oscillations, waves, and turbulence
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Applications of centre manifold theory
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Elements of applied bifurcation theory

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