Spatial chaotic structure of attractors of reaction-diffusion systems
From MaRDI portal
Publication:5690961
DOI10.1090/S0002-9947-96-01578-4zbMath0864.35053OpenAlexW1540114748MaRDI QIDQ5690961
A. Babin, Shui-Nee Chow, Valentin Afraimovich
Publication date: 9 January 1997
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01578-4
symbolic dynamicssemilinear parabolic systemsgeometric characteristics of the potentialhomotopy complexity
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Reaction-diffusion equations (35K57) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items
Spatial and dynamical chaos generated by reaction-diffusion systems in unbounded domains ⋮ Homotopy preservation and spatially complex solutions of parabolic equations in several variables ⋮ Infinite-dimensional hyperbolic sets and spatio-temporal chaos in reaction diffusion systems in \(\mathbb{R}^n\) ⋮ Long-time behavior of solutions and chaos in reaction-diffusion equations ⋮ Multiparameter semigroups and attractors of reaction-diffusion equations in ${\mathbb R}^n$
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
- Geometric theory of semilinear parabolic equations
- Closed orbits of fixed energy for singular Hamiltonian systems
- Harmonic maps of manifolds with boundary
- The variational contribution of the periodic orbits provided by the Birkhoff-Lewis theorem (with applications to convex Hamiltonians and to three-body--type problems)
- The Structure of Reduced Critical GALTON-WATSON Processes
- Stability of nonconstant steady-state solutions to a Ginzburg–Landau equation in higher space dimensions
- Conservative Dynamical Systems Involving Strong Forces
- Ginzburg-Landau vortices
