Anomalous dispersion in the Belousov-Zhabotinsky reaction: experiments and modeling

DOI10.1016/j.physd.2009.10.022zbMath1231.37048OpenAlexW2070405164MaRDI QIDQ972268

Nils Fischer, Grigory Bordyugov, Oliver Steinbock, Niklas Manz, Harald Engel

Publication date: 25 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.physd.2009.10.022

zbMATH Keywords

reaction-diffusion systemsorbit flipexcitabilitycontinuation methods

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (8)

Instability of periodic traveling wave solutions in a modified Fitzhugh-Nagumo model for excitable media ⋮ Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations ⋮ Unusual spiral wave dynamics in the Kessler-Levine model of an excitable medium ⋮ Stability of periodic traveling waves in the Aliev-Panfilov reaction-diffusion system ⋮ Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations ⋮ Complex-Periodic Spiral Waves Induced by Linearly Polarized Electric Field in the Excitable Medium ⋮ Spiral patterns and numerical bifurcation analysis in a three-component Brusselator model for chemical reactions ⋮ Inhibitor-induced wavetrains and spiral waves in an extended FitzHugh-Nagumo model of nerve cell dynamics

Uses Software

• AUTO2000
• HomCont

Cites Work

• Fast and slow waves in the FitzHugh-Nagumo equation
• Non-equilibrium dynamics in chemical systems. Proceedings of the International Symposium, Bordeaux, France, September 3-7, 1984
• Absolute and convective instabilities of waves on unbounded and large bounded domains
• Stable bound states of pulses in an excitable medium
• Computing absolute and essential spectra using continuation
• Propagation failures, breathing pulses, and backfiring in an excitable reaction-diffusion system
• Spectral stability of modulated travelling waves bifurcating near essential instabilities
• Defects in Oscillatory Media: Toward a Classification
• Pattern formation outside of equilibrium
• On the stability of periodic travelling waves with large spatial period
• Elements of applied bifurcation theory

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