On the structure of existence regions for sinks of the Hénon map
- Department of Electrical Engineering, AGH University of Science and Technology, al. Mickiewicza 30, Kraków 30–059 (Poland)
- Department of Mathematics, Uppsala University, Box 480, Uppsala 751 06 (Sweden)
An extensive search for stable periodic orbits (sinks) for the Hénon map in a small neighborhood of the classical parameter values is carried out. Several parameter values which generate a sink are found and verified by rigorous numerical computations. Each found parameter value is extended to a larger region of existence using a simplex continuation method. The structure of these regions of existence is investigated. This study shows that for the Hénon map, there exist sinks close to the classical case.
- OSTI ID:
- 22251398
- Journal Information:
- Chaos (Woodbury, N. Y.), Journal Name: Chaos (Woodbury, N. Y.) Journal Issue: 1 Vol. 24; ISSN CHAOEH; ISSN 1054-1500
- Country of Publication:
- United States
- Language:
- English
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