Document Detail


Chimera states as chaotic spatiotemporal patterns.
MedLine Citation:
PMID:  20866466     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
Chimera states are a recently new discovered dynamical phenomenon that appears in arrays of nonlocally coupled oscillators and displays a spatial pattern of coherent and incoherent regions. We report here an additional feature of this dynamical regime: an irregular motion of the position of the coherent and incoherent regions, i.e., we reveal the nature of the chimera as a spatiotemporal pattern with a regular macroscopic pattern in space, and an irregular motion in time. This motion is a finite-size effect that is not observed in the thermodynamic limit. We show that on a large time scale, it can be described as a Brownian motion. We provide a detailed study of its dependence on the number of oscillators N and the parameters of the system.
Authors:
Oleh E Omel'chenko; Matthias Wolfrum; Yuri L Maistrenko
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Publication Detail:
Type:  Journal Article     Date:  2010-06-25
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  81     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2010 Jun 
Date Detail:
Created Date:  2010-09-27     Completed Date:  2011-01-11     Revised Date:  -    
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:  065201     Citation Subset:  IM    
Affiliation:
Weierstrass Institute for Applied Analysis and Stochastics, 10117 Berlin, Germany.
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MeSH Terms
Descriptor/Qualifier:
Diffusion
Motion*
Nonlinear Dynamics*
Stochastic Processes
Time Factors

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


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