Spiral Waves in Spatially Discrete λ-ω Systems

DOI10.1142/S0218127498000036zbMath0918.34047MaRDI QIDQ4219803

Joseph E. Paullet, G. Bard Ermentrout

Publication date: 2 August 1999

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

limit cyclescoupled oscillatorsspiral waves

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Dynamical systems and ergodic theory (37-XX)

Related Items (6)

Rotating waves in simple scalar excitable media: approximations and numerical solutions ⋮ Rotating wave solutions to lattice dynamical systems I: the anti-continuum limit ⋮ Rotating wave solutions to lattice dynamical systems II: persistence results ⋮ Stable periodic solutions to lambda-omega lattice dynamical systems ⋮ PATTERN FORMATION IN SMALL ARRAYS OF LOCALLY COUPLED OSCILLATORS ⋮ Poincaré maps for multiscale physics discovery and nonlinear Floquet theory

Cites Work

• Persistent spatial patterns for semi-discrete models of excitable media
• Target pattern and spiral solutions to reaction-diffusion equations with more than one space dimension
• Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
• A Geometrical Theory for Spiral Waves in Excitable Media
• Stable Periodic Solutions to Discrete and Continuum Arrays of Weakly Coupled Nonlinear Oscillators
• Plane Wave Solutions to Reaction-Diffusion Equations
• Rotating Spiral Wave Solutions of Reaction-Diffusion Equations
• The Existence of Spiral Waves in an Oscillatory Reaction-Diffusion System
• Stable Rotating Waves in Two-Dimensional Discrete Active Media

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