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Unimodal order in the image of the simplest equivariant chaotic system.
MedLine Citation:
PMID:  11736316     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
The simplest equivariant chaotic dynamics is investigated in terms of its image, i.e., under the 2-->1 mapping allowing one to obtain a projection of the dynamics without any residual symmetry. The inversion symmetry is therefore deleted. The bifurcation diagram can thus be predicted from the unimodal order although the first-return map computed in the original phase space exhibits three critical points. This feature is the same as the one observed on the Burke and Shaw system although this latter system has a rotation symmetry.
Authors:
C Letellier; J M Malasoma
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Publication Detail:
Type:  Journal Article     Date:  2001-11-26
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  64     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2001 Dec 
Date Detail:
Created Date:  2001-12-13     Completed Date:  2002-02-28     Revised Date:  2003-10-31    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  067202     Citation Subset:  -    
Affiliation:
CORIA UMR No. 6614, Université de Rouen, Avenue de l'Université, Boîte Postale 12, F-76801 Saint-Etienne du Rouvray Cedex, France.
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