On the strange attractor and transverse homoclinic orbits for the Lorenz equations (Q1892537)
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: On the strange attractor and transverse homoclinic orbits for the Lorenz equations |
scientific article; zbMATH DE number 765128
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the strange attractor and transverse homoclinic orbits for the Lorenz equations |
scientific article; zbMATH DE number 765128 |
Statements
On the strange attractor and transverse homoclinic orbits for the Lorenz equations (English)
0 references
19 June 1995
0 references
The paper presents a method of computing invidual orbits on the stable and unstable manifolds of a given periodic orbit of the Lorenz system. The convergence of the method is proven and some sample computations are provided. Finally the potential of the method in the study of the Lorenz attractors is discussed.
0 references
series expansions
0 references
Lohner's algorithm
0 references
method of computing invidual orbits
0 references
stable and unstable manifolds
0 references
periodic orbit
0 references
Lorenz system
0 references
Lorenz attractors
0 references
