Computational methods for global analysis of homoclinic and heteroclinic orbits: A case study (Q1209572)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Computational methods for global analysis of homoclinic and heteroclinic orbits: A case study |
scientific article; zbMATH DE number 168052
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computational methods for global analysis of homoclinic and heteroclinic orbits: A case study |
scientific article; zbMATH DE number 168052 |
Statements
Computational methods for global analysis of homoclinic and heteroclinic orbits: A case study (English)
0 references
16 May 1993
0 references
This article presents an algorithm for the computation of branches of heteroclinic orbits for a system of autonomous ordinary differential equations. The idea is to rewrite the original problem as a boundary value problem on a finite interval where the boundary conditions are obtained by a detailed analysis of the solution near the critical point. Higher-order approximations of the unstable and stable manifolds are used for this purpose. The proposed algorithm is then applied to a model problem: the DC Josephson Junction.
0 references
higher-order approximations
0 references
algorithm
0 references
computation of branches of heteroclinic orbits
0 references
autonomous ordinary differential equations
0 references
unstable and stable manifolds
0 references
DC Josephson Junction
0 references
0 references
