Authors: S Sadeghi A Valizadeh
Publish Date: 2013/06/07
Volume: 36, Issue: 1, Pages: 55-66
Abstract
In principle two directly coupled limit cycle oscillators can overcome mismatch in intrinsic rates and match their frequencies but zero phase lag synchronization is just achievable in the limit of zero mismatch ie with identical oscillators Delay in communication on the other hand can exert phase shift in the activity of the coupled oscillators In this study we address the question of how phase locked and in particular zero phase lag synchronization can be achieved for a heterogeneous system of two delayed coupled neurons We have analytically studied the possibility of inphase synchronization and near inphase synchronization when the neurons are not identical or the connections are not exactly symmetric We have shown that while any single source of inhomogeneity can violate isochronous synchrony multiple sources of inhomogeneity can compensate for each other and maintain synchrony Numeric studies on biologically plausible models also support the analytic resultsAuthors acknowledge C C Canavier and M D McDonnell for the constructive suggestions and two anonymous reviewers for careful reading of the manuscript and giving valuable comments A V gratefully thanks M R Khajehpour for his help and encouragement from early stages of the study
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