Homoclinic orbits of non-autonomous maps and their approximation

DOI10.1080/10236190601045713zbMath1113.65118OpenAlexW2112612898MaRDI QIDQ3423578

Thorsten Hüls

Publication date: 14 February 2007

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190601045713

zbMATH Keywords

numerical exampleerror estimatesNewton's methodfixed pointtransversalityboundary value probleminvariant fiber bundlesApproximation of homoclinic transversal orbitsHenon's mapNon-autonomous discrete time dynamical systems

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05) Numerical nonlinear stabilities in dynamical systems (65P40) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (3)

Nonautonomous systems with transversal homoclinic structures under discretization ⋮ Connecting orbits in perturbed systems ⋮ Homoclinic trajectories of non-autonomous maps

Cites Work

• Unnamed Item
• Unnamed Item
• Error estimates for approximating non-hyperbolic heteroclinic orbits of maps
• Taylor approximation of invariant fiber bundles for nonautonomous difference equations
• \(C^m\)-smoothness of invariant fiber bundles
• Taylor approximation of integral manifolds
• The Numerical Computation of Connecting Orbits in Dynamical Systems
• The Numerical Computation of Homoclinic Orbits for Maps
• NUMERICAL ANALYSIS OF DEGENERATE CONNECTING ORBITS FOR MAPS
• Bifurcation of Connecting Orbits with One Nonhyperbolic Fixed Point for Maps
• Differentiable dynamical systems
• Invariant manifolds

This page was built for publication: Homoclinic orbits of non-autonomous maps and their approximation