Document Detail

Traveling echo waves in an array of excitable elements with time-delayed coupling.
MedLine Citation:
PMID:  21517577     Owner:  NLM     Status:  In-Data-Review    
We study time-delayed coupling in one-dimensional arrays of discrete excitable FitzHugh-Nagumo elements. For small time delays in an excitatory coupling, noise-triggered spikes undergo a slight prolongation. For larger delay times, the coupling to adjacent elements leads to a splitting of spikes and an "echo" effect that produces dampened series of spikes. For very large delay times, a transition to a stationary regime appears, as the spikes are sustained by mutual excitations, resulting in antiphase synchronization of all elements. We characterize several features exhibited by the system, such as speed and duration of pulses as well as bifurcations leading to the stationary regime.
Oriol Vallès-Codina; Ronny Möbius; Sten Rüdiger; Lutz Schimansky-Geier
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Publication Detail:
Type:  Journal Article     Date:  2011-03-23
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:  036209     Citation Subset:  IM    
IBE-Institut de Biologia Evolutiva (UPF/CSIC), Barcelona, Spain and Institut für Physik, Humboldt-Universität zu Berlin, Germany.
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