Numerical continuation of connecting orbits of maps in MATLAB

DOI10.1080/10236190802357677zbMath1171.65093OpenAlexW2029711205MaRDI QIDQ5192335

No author found.

Publication date: 4 August 2009

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

Full work available at URL: https://doi.org/10.1080/10236190802357677

zbMATH Keywords

algorithmsfixed pointsinvariant manifoldsheteroclinic orbitshomoclinic orbitsfold bifurcationiterated mapsHenon mapcontinuation of invariant subspacesMATLAB codesfold bifurcation curvesinvariant subspaces algorithm

Mathematics Subject Classification ID

Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (10)

Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model ⋮ From wild Lorenz-like to wild Rovella-like dynamics ⋮ Stable cycles in a Cournot duopoly model of Kopel ⋮ Generalized Mandelbrot and Julia Sets in a Family of Planar Angle-Doubling Maps ⋮ Homoclinic trajectories of non-autonomous maps ⋮ Remarks on homoclinic structure in Bogdanov-Takens map ⋮ Remarks on interacting Neimark–Sacker bifurcations ⋮ Numerical bifurcation analysis of a nonlinear stage structured cannibalism population model ⋮ Interactions of the Julia Set with Critical and (Un)Stable Sets in an Angle-Doubling Map on ℂ\{0} ⋮ Chaos and Wild Chaos in Lorenz-Type Systems

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcations and stability of families of diffeomorphisms
• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
• Global bifurcations and chaos. Analytical methods
• Growing 1D and quasi-2D unstable manifolds of maps
• Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps
• On Smooth Decompositions of Matrices
• The Numerical Computation of Homoclinic Orbits for Maps
• Computing Connecting Orbits via an Improved Algorithm for Continuing Invariant Subspaces
• Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse
• NUMERICAL ANALYSIS OF DEGENERATE CONNECTING ORBITS FOR MAPS
• Continuation of invariant subspaces
• Numerical Detection and Continuation of Homoclinic Points and Their Bifurcations for Maps and Periodically Forced Systems
• Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms
• A new approach to the perturbation theory of invariant surfaces
• Bifurcation of Connecting Orbits with One Nonhyperbolic Fixed Point for Maps
• ON A POINCARÉ-BIRKHOFF PROBLEM
• ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
• Generalized Hénon Map and Bifurcations of Homoclinic Tangencies

This page was built for publication: Numerical continuation of connecting orbits of maps in MATLAB