Complicated dynamics in scalar semilinear parabolic equations in higher space dimension
From MaRDI portal
Publication:1174305
DOI10.1016/0022-0396(91)90121-OzbMath0738.35027OpenAlexW2152550625MaRDI QIDQ1174305
Publication date: 25 June 1992
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(91)90121-o
Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (18)
Dissipation and compact attractors ⋮ Restrictions on the possible flows of scalar retarded functional differential equations in neighborhoods of singularities ⋮ Unnamed Item ⋮ Inverse problems and chaotic dynamics of parabolic equations on arbitrary spatial domains ⋮ Realisation of ordinary differential equations by retarded functional differential equations in neighbourhoods of equilibrium points ⋮ Rise of nations: Why do empires expand and fall? ⋮ Strange attractors for Oberbeck-Boussinesq model ⋮ Convergence in gradient-like systems with applications to PDE ⋮ Complex attractors and patterns in reaction-diffusion systems ⋮ Unnamed Item ⋮ On Minimal Sets of Scalar Parabolic Equations with Skew-Product Structures ⋮ Reduction Methods and Chaos for Quadratic Systems of Differential Equations ⋮ A remark on the existence of suitable vector fields related to the dynamics of scalar semi-linear parabolic equations ⋮ Strange Attractors for Periodically Forced Parabolic Equations ⋮ Unnamed Item ⋮ Complicated dynamics of parabolic equations with simple gradient dependence ⋮ Unnamed Item ⋮ Excitable media store and transfer complicated information via topological defect motion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invariant manifolds for flows in Banach spaces
- Generic properties of stationary state solutions of reaction-diffusion equations
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Connecting orbits in scalar reaction diffusion equations. II: The complete solution
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Regular attractors of semigroups and evolution equations
- Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
- The Morse-Smale property for a semilinear parabolic equation
- Generic hyperbolicity for reaction diffusion equations on symmetric domains
- Asymptotic behavior and stability of solutions of semilinear diffusion equations
- Geometric theory of semilinear parabolic equations
- Smooth invariant foliations in infinite dimensional spaces
- On the differential equations of species in competition
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Convergence of solutions of one-dimensional semilinear parabolic equations
- On abstract parabolic fundamental solutions
- Convergence in smooth strongly monotone flows defined by semilinear parabolic equations
- Stability and convergence in strongly monotone dynamical systems.
- Periodic and Steady-State Mode Interactions Lead to Tori
- Multiple Bifurcation Problems of Codimension Two
- Complicated dynamics of scalar reaction diffusion equations with a nonlocal term
- Analysis of a Convective Reaction-Diffusion Equation II
- Differential equations and convergence almost everywhere in strongly monotone semiflows
- Flows on centre manifolds for scalar functional differential equations
- Generic properties of equilibria of reaction-diffusion equations with variable diffusion
- Generic hyperbolicity in one-dimensional reaction- diffusion equations with general boundary conditions
This page was built for publication: Complicated dynamics in scalar semilinear parabolic equations in higher space dimension
