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.), Vol. 24, Issue 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
- Country of Publication:
- United States
- Language:
- English
Similar Records
Is the Hénon attractor chaotic?
On the quantum baker`s map and its unusual traces
Computer extended asymptotic series for the two-dimensional linear hydrodynamics of a gas centrifuge with sources and sinks
Journal Article
·
Sun Mar 15 00:00:00 EDT 2015
· Chaos (Woodbury, N. Y.)
·
OSTI ID:22251398
On the quantum baker`s map and its unusual traces
Journal Article
·
Mon May 01 00:00:00 EDT 1995
· Annals of Physics (New York)
·
OSTI ID:22251398
Computer extended asymptotic series for the two-dimensional linear hydrodynamics of a gas centrifuge with sources and sinks
Technical Report
·
Mon Jul 01 00:00:00 EDT 1985
·
OSTI ID:22251398