The existence of homoclinic orbits to saddle-focus (Q1774869)
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: The existence of homoclinic orbits to saddle-focus |
scientific article; zbMATH DE number 2165282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of homoclinic orbits to saddle-focus |
scientific article; zbMATH DE number 2165282 |
Statements
The existence of homoclinic orbits to saddle-focus (English)
0 references
4 May 2005
0 references
The authors deal with the existence of homoclinic orbits to saddle-focus. To this end they present an improved version of the existence criterion for such homoclinic orbits to saddle-focus. Based on this criterion, the authors correct the result of \textit{T. Zhou}, \textit{G. Chen} and \textit{Q. Yang} [Chaos Solitons Fractals 19, 985--993 (2004; Zbl 1053.37015)]. Moreover, the authors show that the method presented in this paper easily leads to nonexistence of horseshoe chaos in the sense of Silnikov.
0 references
Horseshoe chaos
0 references
Saddle-focus
0 references
Manifold
0 references
Homoclinic loop
0 references
0.9528295
0 references
0.92363364
0 references
0.92029417
0 references
0.9191034
0 references
0.91728103
0 references
0.91547585
0 references
