Infinitely many periodic attractors for holomorphic maps of 2 variables (Q1355874)
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: Infinitely many periodic attractors for holomorphic maps of 2 variables |
scientific article; zbMATH DE number 1014531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitely many periodic attractors for holomorphic maps of 2 variables |
scientific article; zbMATH DE number 1014531 |
Statements
Infinitely many periodic attractors for holomorphic maps of 2 variables (English)
0 references
8 January 1998
0 references
The important development in the study of discrete dynamical systems was Newhouse's use of persistent homoclinic tangencies to show that a large set of \(C^2\)-diffeomorphisms of compact surfaces have infinitely many coexisting periodic attractors, or sinks [\textit{S. E. Newhouse}, Prog. Math. 8, 1-114 (1980; Zbl 0444.58001)]. In the present article this result is obtained for various spaces of holomorphic maps of two variables.
0 references
discrete dynamical systems
0 references
coexisting periodic attractors
0 references
sinks
0 references
holomorphic maps
0 references
0.8727096
0 references
0.87037766
0 references
0.8691331
0 references
0 references
0.86058366
0 references
0.85745525
0 references
0.8563399
0 references
