Document Detail


Delayed coupling of logistic maps.
MedLine Citation:
PMID:  11580482     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
We study the synchronization of logistic maps in a one-way coupling configuration. The master system is coupled to the slave system with a delay n(1), and the slave is a delayed logistic map with a delay n(2). We show that when the slave system has no delay (n(2)=0), perfectly synchronized solutions exist for strong enough coupling. In these solutions the slave variable y is retarded with respect to the master variable x with a retardation equal to the delay of the coupling [y(i+n(1))=x(i)]. When n(2) not equal 0, a regime of generalized synchronization is observed, where y(i+n(1)) is synchronized with x(i), but not completely, since the master and the slave systems obey different maps. We introduced a similarity function as an indicator of the degree of synchronization and, using a noisy master source, distinguished synchronization from noise-induced correlations.
Authors:
C Masoller; H L Cavalcante; J R Leite
Publication Detail:
Type:  Journal Article     Date:  2001-08-14
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 Sep 
Date Detail:
Created Date:  2001-10-02     Completed Date:  2004-06-14     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:  037202     Citation Subset:  -    
Affiliation:
Instituto de Física, Facultad de Ciencias, Universidad de la República, Igua 4225, Montevideo 11400, Uruguay.
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