On locating connecting orbits

DOI10.1016/0096-3003(94)90179-1zbMath0811.65052OpenAlexW2091005094MaRDI QIDQ1344030

Eusebius J. Doedel, Mark J. Friedman, Anand C. Monteiro

Publication date: 2 May 1995

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90179-1

zbMATH Keywords

singular perturbationdynamical systemsheteroclinic orbitshomoclinic orbitsconnecting orbitschaotic oscillationsinfinite period connecting fixed pointssystem of autonomous ordinary differential equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dynamical systems and ergodic theory (37-XX)

Related Items

Pulse bifurcation and transition to spatiotemporal chaos in an excitable reaction-diffusion model ⋮ CONTINUATION OF CONNECTING ORBITS IN 3D-ODEs (I): POINT-TO-CYCLE CONNECTIONS ⋮ Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields ⋮ Unnamed Item ⋮ CONTINUATION OF CONNECTING ORBITS IN 3D-ODEs (II) : CYCLE-TO-CYCLE CONNECTIONS

Uses Software

• AUTO
• AUTO-86

Cites Work

• Numerical computation of heteroclinic orbits
• Computational methods for global analysis of homoclinic and heteroclinic orbits: A case study
• Numerical analysis and accurate computation of heteroclinic orbits in the case of center manifolds
• Numerical Computation of Saddle-Node Homoclinic Bifurcation Points
• The Numerical Computation of Connecting Orbits in Dynamical Systems
• Boundary Value Problems on Semi-Infinite Intervals and Their Numerical Solution
• Numerical Computation and Continuation of Invariant Manifolds Connecting Fixed Points
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