Document Detail


Stochastic phase resetting of stimulus-locked responses of two coupled oscillators: transient response clustering, synchronization, and desynchronization.
MedLine Citation:
PMID:  12675443     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
Transient phase dynamics, synchronization, and desynchronization which are stimulus-locked (i.e., tightly time-locked to a repetitively administered stimulus) are studied in two coupled phase oscillators in the presence of noise. The presented method makes it possible to detect such processes in numerical and experimental signals. The time resolution is enormous, since it is only restricted by the sampling rate. Stochastic stimulus locking of the phases or the n:m phase difference at a particular time t relative to stimulus onset is defined by the presence of one or more prominent peaks in the cross-trial distribution of the phases or the n:m phase difference at time t relative to stimulus onset in an ensemble of poststimulus responses. The oscillators' coupling may cause a transient cross-trial response clustering of the poststimulus responses. In particular, the mechanism by which intrinsic noise induces symmetric antiphase cross-trial response clustering in coupled detuned oscillators is a stochastic resonance. Unlike the presented approach, both cross-trial averaging (where an ensemble of poststimulus responses is simply averaged) and cross-trial cross correlation (CTCC) lead to severe misinterpretations: Triggered averaging cannot distinguish a cross-trial response clustering or decorrelation from a mean amplitude decrease of the single responses. CTCC not only depends on the oscillators' phase difference but also on their phases and, thus, inevitably displays "artificial" oscillations that are not related to synchronization or desynchronization.
Authors:
Peter A Tass
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Chaos (Woodbury, N.Y.)     Volume:  13     ISSN:  1054-1500     ISO Abbreviation:  Chaos     Publication Date:  2003 Mar 
Date Detail:
Created Date:  2003-04-04     Completed Date:  2003-05-13     Revised Date:  2008-11-21    
Medline Journal Info:
Nlm Unique ID:  100971574     Medline TA:  Chaos     Country:  United States    
Other Details:
Languages:  eng     Pagination:  364-76     Citation Subset:  IM    
Affiliation:
Institute of Medicine, Research Centre Jülich, D-52425 Jülich, Germany. P.Tass@fz-juelich.de
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MeSH Terms
Descriptor/Qualifier:
Models, Statistical
Oscillometry*
Physical Phenomena
Physics
Statistics as Topic
Stochastic Processes
Time Factors

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