Resonantly forced inhomogeneous reaction-diffusion systems

DOI10.1063/1.1286264zbMath0967.35065arXivnlin/0008035OpenAlexW2004481533WikidataQ52412000 ScholiaQ52412000MaRDI QIDQ2726385

Raymond Kapral, C. J. Hemming

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://arxiv.org/abs/nlin/0008035

zbMATH Keywords

complex Ginzburg-Landau equationFitzHugh-Nagumo system3:1 resonance regimefront rougheningperiodic forcing with a spatially random forcing amplitude fieldspiral wave dynamicsspontaneous nucleation of target patterns

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Developmental biology, pattern formation (92C15)

Related Items (2)

Resonant and nonresonant patterns in forced oscillators ⋮ Synchronization of coupled biological oscillators under spatially heterogeneous environmental forcing

Cites Work

• Perturbation of a Hopf bifurcation by an external time-periodic forcing
• A model of wave propagation in an inhomogeneous excitable medium
• Strong resonances of spatially distributed oscillators: A laboratory to study patterns and defects
• Forcing oscillatory media: phase kinks vs. synchronization.
• Noise sustained waves in subexcitable media: From chemical waves to brain waves

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