Persistent spatial patterns for semi-discrete models of excitable media

DOI10.1007/BF00275828zbMath0449.92003WikidataQ113909260 ScholiaQ113909260MaRDI QIDQ1147637

Stuart P. Hastings

Publication date: 1981

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

excitable mediapersistent spatial patterns

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05) General biology and biomathematics (92B05) Chemistry (92Exx)

Related Items (4)

Target pattern and spiral solutions to reaction-diffusion equations with more than one space dimension ⋮ Spiral Waves in Spatially Discrete λ-ω Systems ⋮ Oscillations spatio-temporelles engendrées par un automate cellulaire ⋮ Organizing centers in a cellular excitable medium

Cites Work

• Qualitative theory of the Fitz Hugh-Nagumo equations
• On the appearance of chaos in a model of the Belousov reaction
• Pattern formation and periodic structures in systems modeled by reaction-diffusion equations
• A Combinatorial Problem Arising in the Study of Reaction-Diffusion Equations
• Spatial Patterns for Discrete Models of Diffusion in Excitable Media
• The chemical basis of morphogenesis
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