Target patterns in reaction-diffusion systems

DOI10.1016/0196-8858(81)90042-7zbMath0485.35006OpenAlexW1968483951MaRDI QIDQ1164195

Patrick S. Hagan

Publication date: 1981

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(81)90042-7

zbMATH Keywords

reaction-diffusion systemsstable time-periodic solutiontarget pattern solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) Perturbations in context of PDEs (35B20) Chemistry (92Exx)

Related Items (17)

Singular perturbation theory of traveling waves in excitable media (A review) ⋮ Target patterns in a 2D array of oscillators with nonlocal coupling ⋮ Can large inhomogeneities generate target patterns? ⋮ Heterogeneity selected target waves and their competition: Outgoing or ingoing? ⋮ Target pattern solutions to reaction-diffusion equations in the presence of impurities ⋮ Target pattern and spiral solutions to reaction-diffusion equations with more than one space dimension ⋮ Planar radial spots in a three-component FitzHugh-Nagumo system ⋮ Approximated Spiral and Target Patterns in Bazykin’s Prey–Predator Model: Multiscale Perturbation Analysis ⋮ Synchronization in reaction–diffusion systems with multiple pacemakers ⋮ On interaction of spiral waves ⋮ The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction-diffusion systems ⋮ Target patterns in two-dimensional heterogeneous oscillatory reaction--diffusion systems ⋮ Dynamics of Notch activity in a model of interacting signaling pathways ⋮ Bifurcations and Lyapunov exponents in chaotic reaction-diffusion systems ⋮ The world of the complex Ginzburg-Landau equation ⋮ Spatiotemporal patterns in a 2D lattice with linear repulsive and nonlinear attractive coupling ⋮ Stability of rotating chemical waves

Cites Work

• Unnamed Item
• Unnamed Item
• Patterns of phase compromise in biological cycles
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• Chemical Waves and the Diffusive Coupling of Limit Cycle Oscillators
• Axi-Symmetric, Time-Periodic Solutions of Reaction-Diffusion Equations
• Target Patterns and Horseshoes from a Perturbed Central-Force Problem: Some Temporally Periodic Solutions to Reaction-Diffusion Equations

This page was built for publication: Target patterns in reaction-diffusion systems