On bifurcations of systems with homoclinic loops to a saddle-focus with saddle index \(\frac 12\) (Q957828)
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 bifurcations of systems with homoclinic loops to a saddle-focus with saddle index \(\frac 12\) |
scientific article; zbMATH DE number 5375944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On bifurcations of systems with homoclinic loops to a saddle-focus with saddle index \(\frac 12\) |
scientific article; zbMATH DE number 5375944 |
Statements
On bifurcations of systems with homoclinic loops to a saddle-focus with saddle index \(\frac 12\) (English)
0 references
1 December 2008
0 references
For the dynamic system with a saddle-focus homoclinic loop and zero divergence with respect to the leading coordinates instability regions are determined. In the three-dimensional case a heteroclinic contour is found, that is responsible for the existence of mixed-type dynamics including all structurally stable types of periodic orbits (even countable sets of such orbits).
0 references
strange attractors
0 references
systems with homoclinic loop
0 references
bifurcations to saddle-focus
0 references
