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Title: On the structure of existence regions for sinks of the Hénon map

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.
Authors:
 [1] ;  [2]
  1. Department of Electrical Engineering, AGH University of Science and Technology, al. Mickiewicza 30, Kraków 30–059 (Poland)
  2. Department of Mathematics, Uppsala University, Box 480, Uppsala 751 06 (Sweden)
Publication Date:
OSTI Identifier:
22251398
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 24; Journal Issue: 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPUTER CALCULATIONS; MAPS; PERIODICITY; SINKS