Strange attractors containing a singularity with two positive multipliers (Q1290535)
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: Strange attractors containing a singularity with two positive multipliers |
scientific article; zbMATH DE number 1294598
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strange attractors containing a singularity with two positive multipliers |
scientific article; zbMATH DE number 1294598 |
Statements
Strange attractors containing a singularity with two positive multipliers (English)
0 references
30 September 1999
0 references
The main subject of this paper is to analyze the existence of strange attractors having singularities with two positive Lyapunov exponents. This investigation is motivated by the study of diffeomorphisms with (nonhyperbolic) attractors having several expanding directions in its basin. The authors construct smooth vector fields exhibiting strange attractors that contain a singularity with two positive Lyapunov exponents. Moreover, they explain how such attractors can be approximated by geometric Lorenz attractors or by homoclinic tangencies.
0 references
basin of attractor
0 references
Lorenz attractor
0 references
strange attractors
0 references
Ljapunov exponents
0 references
homoclinic tangencies
0 references
