Numerical analysis and accurate computation of heteroclinic orbits in the case of center manifolds

DOI10.1007/BF01063735zbMath0770.34034OpenAlexW1964132841MaRDI QIDQ1209573

Mark J. Friedman

Publication date: 16 May 1993

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01063735

zbMATH Keywords

numerical methoderror estimatescenter manifoldsautonomous ordinary differential equationscomputation of branches of heteroclinic orbitsDC Josephson Junction

Mathematics Subject Classification ID

Related Items (5)

On locating connecting orbits ⋮ Computational methods for global analysis of homoclinic and heteroclinic orbits: A case study ⋮ A free boundary approach and keller's box scheme for BVPs on infinite intervals ⋮ Numerical detection and continuation of saddle-node homoclinic bifurcations of codimension one and two ⋮ A survey on free boundary identification of the truncated boundary in numerical BVPs on infinite intervals

Uses Software

• AUTO
• AUTO-86

Cites Work

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• Bifurcation of a homoclinic orbit with a saddle-node equilibrium
• Heteroclinic orbits for retarded functional differential equations
• Numerical computation of heteroclinic orbits
• Computational methods for global analysis of homoclinic and heteroclinic orbits: A case study
• Numerical Computation of Saddle-Node Homoclinic Bifurcation Points
• The Numerical Computation of Connecting Orbits in Dynamical Systems
• Asymptotic Boundary Conditions and Numerical Methods for Nonlinear Elliptic Problems on Unbounded Domains
• The Saddle-Node Separatrix-Loop Bifurcation
• Numerical Computation and Continuation of Invariant Manifolds Connecting Fixed Points
• Approximation of solution branches of nonlinear equations

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