Irregular wakes in reaction-diffusion waves

DOI10.1016/0167-2789(94)90072-8zbMath0812.35062OpenAlexW2080095968MaRDI QIDQ1339262

Jonathan A. Sherratt

Publication date: 22 May 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90072-8

zbMATH Keywords

travelling frontschaotic spatiotemporal irregularityinstability of oscillations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45)

Related Items

Delay driven spatiotemporal chaos in single species population dynamics models, Unstable wavetrains and chaotic wakes in reaction-diffusion systems of \(\lambda-\omega\) type, Propagation of population pulses and fronts in a cell replication problem: Non-locality and dependence on the initial function, How Does Nonlocal Dispersal Affect the Selection and Stability of Periodic Traveling Waves?, A comparison of two numerical methods for oscillatory reaction-diffusion systems, Periodic travelling waves in a family of deterministic cellular automata, Invading wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave, The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction-diffusion systems, Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal, Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion, Oscillatory and chaotic wakes behind moving boundaries in reaction–diffusion systems

Cites Work

• Unnamed Item
• Reversible cellular automata and chemical turbulence
• Bifurcation phenomena in coupled chemical oscillators: normal form analysis and numerical simulations
• Stability of periodic travelling wave solutions with large spatial periods in reaction-diffusion systems
• Diffusion driven instability in an inhomogeneous domain
• Travelling wave solutions of diffusive Lotka-Volterra equations
• A cell dynamical system model of chemical turbulence.
• Mathematical analysis of a basic model for epidermal wound healing
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• Geometrical Characteristics Associated with Stability and Bifurcations of Periodic Travelling Waves in Reaction-Diffusion Systems
• Spiral Waves for $\lambda -\omega $ Systems
• Stability of Limit Cycle Solutions of Reaction-Diffusion Equations
• Plane Wave Solutions to Reaction-Diffusion Equations
• The chemical basis of morphogenesis
• Spiral Waves in Reaction-Diffusion Equations