Amplitude equations for wave bifurcations in reaction-diffusion systems
From MaRDI portal
Publication:6576895
DOI10.1088/1361-6544/ad5e56zbMATH Open1544.351MaRDI QIDQ6576895
Alan R. Champneys, Edgardo Villar-Sepúlveda
Publication date: 23 July 2024
Published in: Nonlinearity (Search for Journal in Brave)
Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Second-order parabolic systems (35K40) Pattern formations in context of PDEs (35B36)
Cites Work
- A simple global characterization for normal forms of singular vector fields
- Singularities and groups in bifurcation theory. Volume II
- Symbolic-numerical methods for the computation of normal forms of PDEs
- General conditions for Turing and wave instabilities in reaction-diffusion systems
- pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems
- ON BIFURCATIONS OF SPIRAL WAVES IN THE PLANE
- Hopf bifurcation and symmetry: travelling and standing waves on the circle
- The Takens-Bogdanov bifurcation with O(2)-symmetry
- Bifurcation to Spiral Waves in Reaction-Diffusion Systems
- SPIRALS IN SCALAR REACTION–DIFFUSION EQUATIONS
- Chaos in the Takens–Bogdanov bifurcation withO(2) symmetry
- Nonlinear Physics of Ecosystems
- Elements of applied bifurcation theory
- Computation of Turing bifurcation normal form for \(n\)-component reaction-diffusion systems
Related Items (2)
A new mechanism revealed by cross-diffusion-driven instability and double-Hopf bifurcation in the Brusselator system ⋮ Snakes, ladders, and breathers: organization of localized patterns in reaction-diffusion systems
This page was built for publication: Amplitude equations for wave bifurcations in reaction-diffusion systems
