Target patterns and spiral waves in reaction-diffusion systems with limit cycle kinetics and weak diffusion

DOI10.1007/BF02683817zbMath0928.92001OpenAlexW2092966857MaRDI QIDQ1299841

Xiao-Qiang Zhao, Sleeman, Brian D.

Publication date: 9 January 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02683817

zbMATH Keywords

singular perturbationsspiral wavesBelousov-Zhabotinskii reactiontarget patterns

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40) Developmental biology, pattern formation (92C15)

Related Items (1)

Persistence of periodic patterns for perturbed biological oscillators

Cites Work

• Unnamed Item
• Unnamed Item
• Spiral waves in the Belousov-Zhabotinskii reaction
• Singular perturbation theory of traveling waves in excitable media (A review)
• Target pattern and spiral solutions to reaction-diffusion equations with more than one space dimension
• Rotating Spiral Waves in Reaction-Diffusion Systems: Phase Singularities of Multi-Armed Waves
• Chemical Waves and the Diffusive Coupling of Limit Cycle Oscillators
• A Geometrical Theory for Spiral Waves in Excitable Media
• Spiral Wave Solutions of Practical Reaction-Diffusion Systems
• Spiral Waves for $\lambda -\omega $ Systems
• Plane Wave Solutions to Reaction-Diffusion Equations
• Rotating Spiral Wave Solutions of Reaction-Diffusion Equations
• Spiral Waves in Reaction-Diffusion Equations

This page was built for publication: Target patterns and spiral waves in reaction-diffusion systems with limit cycle kinetics and weak diffusion