Document Detail


Adaptive oscillator networks with conserved overall coupling: Sequential firing and near-synchronized states.
MedLine Citation:
PMID:  21517574     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
Motivated by recent observations in neuronal systems we investigate all-to-all networks of nonidentical oscillators with adaptive coupling. The adaptation models spike-timing-dependent plasticity in which the sum of the weights of all incoming links is conserved. We find multiple phase-locked states that fall into two classes: near-synchronized states and splay states. Among the near-synchronized states are states that oscillate with a frequency that depends only very weakly on the coupling strength and is essentially given by the frequency of one of the oscillators, which is, however, neither the fastest nor the slowest oscillator. In sufficiently large networks the adaptive coupling is found to develop effective network topologies dominated by one or two loops. This results in a multitude of stable splay states, which differ in their firing sequences. With increasing coupling strength their frequency increases linearly and the oscillators become less synchronized. The essential features of the two classes of states are captured analytically in perturbation analyses of the extended Kuramoto model used in the simulations.
Authors:
Clara B Picallo; Hermann Riecke
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Publication Detail:
Type:  Journal Article     Date:  2011-03-18
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  83     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2011 Mar 
Date Detail:
Created Date:  2011-04-26     Completed Date:  -     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:  036206     Citation Subset:  IM    
Affiliation:
Instituto de Física de Cantabria (IFCA), CSIC-UC, E-39005 Santander, Spain and Departamento de Física Moderna, Universidad de Cantabria, E-39005 Santander, Spain.
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