Dynamical systems and traveling waves in almost periodic structures
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Publication:5929061
DOI10.1006/jdeq.2000.3906zbMath0980.35020OpenAlexW1973948475MaRDI QIDQ5929061
Publication date: 24 February 2002
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2000.3906
Reaction-diffusion equations (35K57) Almost and pseudo-almost periodic solutions to PDEs (35B15) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)
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Cites Work
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- Invariant manifolds for flows in Banach spaces
- Multi-dimensional travelling-wave solutions of a flame propagation model
- Some threshold results for models of myelinated nerves
- Geometric theory of semilinear parabolic equations
- A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
- Smooth invariant foliations in infinite dimensional spaces
- Existence and stability of traveling waves in periodic media governed by a bistable nonlinearity
- Existence of traveling wavefront solutions for the discrete Nagumo equation
- Structural stability for time-periodic one-dimensional parabolic equations
- Stability of travelling fronts in a model for flame propagation. I: Linear analysis
- Stability of travelling fronts in a model for flame propagation. II: Nonlinear stability
- Almost periodic differential equations
- On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type
- On the stability of waves of nonlinear parabolic systems
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- The behavior of solutions of some non-linear diffusion equations for large time
- Traveling waves in lattice dynamical systems
- Gradient-like structure and Morse decompositions for time-periodic one- dimensional parabolic equations
- Traveling waves in a convolution model for phase transitions
- Invariant foliations for \(C^1\) semigroups in Banach spaces
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Travelling fronts in cylinders
- Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence
- Wavefronts for a cooperative tridiagonal system of differential equations
- Long-Time Behavior of a Class of Biological Models
- The zero set of a solution of a parabolic equation.
- Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
- A Linear, Almost Periodic Equation With an Almost Automorphic Solution
- Stability of Traveling Wavefronts for the Discrete Nagumo Equation
- Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, I
- Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, II
- Lifting properties in skew-product flows with applications to differential equations
- Almost automorphic and almost periodic dynamics in skew-product semiflows
- Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
- Periodic traveling waves and locating oscillating patterns in multidimensional domains
- A Parabolic Equation of the KPP Type in Higher Dimensions
- Lifted Lattices, Hyperbolic Structures, and Topological Disorders in Coupled Map Lattices
- Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos
- Almost Automorphic Functions on Groups
- Point-Distal Flows
