Numerical Computation of Saddle-Node Homoclinic Bifurcation Points
From MaRDI portal
Publication:3136568
DOI10.1137/0730060zbMath0779.65051OpenAlexW2019833761MaRDI QIDQ3136568
Publication date: 18 October 1993
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0730060
stabilityconvergencebifurcation curvesMelnikov integralhomoclinic bifurcation curvessaddle-node homoclinic bifurcation
Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Related Items (14)
On locating connecting orbits ⋮ Combustion fronts in a porous medium with two layers ⋮ Bifurcations of Two-Dimensional Global Invariant Manifolds near a Noncentral Saddle-Node Homoclinic Orbit ⋮ On Cj-closeness between the solution flow and its numerical approximation ⋮ NUMERICAL ANALYSIS OF DEGENERATE CONNECTING ORBITS FOR MAPS ⋮ 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 ⋮ Polynomial estimates and discrete saddle-node homoclinic orbits ⋮ Error estimates for approximating non-hyperbolic heteroclinic orbits of maps ⋮ Swing equation in power systems: Approximate analytical solution and bifurcation curve estimate ⋮ A free boundary approach and keller's box scheme for BVPs on infinite intervals ⋮ Reflections and prospectives ⋮ 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
This page was built for publication: Numerical Computation of Saddle-Node Homoclinic Bifurcation Points
