Transversal homoclinic orbits and chaos for partial functional differential equations
From MaRDI portal
Publication:1044506
DOI10.1016/J.NA.2009.06.026zbMath1180.35540OpenAlexW1984369707MaRDI QIDQ1044506
Publication date: 18 December 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.06.026
Partial functional-differential equations (35R10) Bifurcations in context of PDEs (35B32) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)
Related Items (2)
Chaos of the 2D linear hyperbolic equation with general van der Pol type boundary condition ⋮ Chaotic motion and control of the driven-damped double sine-Gordon equation
Cites Work
- Unnamed Item
- Unnamed Item
- Exponential dichotomies, the Fredholm alternative, and transverse homoclinic orbits in partial functional differential equations
- Semigroups of linear operators and applications to partial differential equations
- Exponential dichotomies and homoclinic orbits in functional differential equations
- Heteroclinic orbits for retarded functional differential equations
- Geometric theory of semilinear parabolic equations
- Robust heteroclinic cycles
- The existence of transverse homoclinic solutions for higher order equations
- Exponential dichotomies and transversal homoclinic points
- The existences of transverse homoclinic solutions and chaos for parabolic equations
- Existence, Stability, and Compactness in the α-Norm for Partial Functional Differential Equations
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Melnikov Transforms, Bernoulli Bundles, and Almost Periodic Perturbations
- Transverse homoclinic orbits in periodically perturbed parabolic equations
- Homoclinic Solutions for Autonomous Dynamical Systems in Arbitrary Dimension
- Existence and Stability for Partial Functional Differential Equations
- Homoclinic Solutions and Chaos in Ordinary Differential Equations with Singular Perturbations
- Smoothness of Center Manifolds for Maps and Formal Adjoints for Semilinear FDEs in General Banach Spaces
- Bounded solutions for non-autonomous parabolic equations
This page was built for publication: Transversal homoclinic orbits and chaos for partial functional differential equations