Abstract

The dynamic behavior and synchronization of a large ring of mutually coupled Van der Pol oscillators is studied by extending a methodology previouly reported by another authors, in which the original equations are linearized around the unperturbed limit cycle. The linearized equations are trasformed into Hill’s equations and from here conditions for stability and synchronization are derived. Numerical simulations corroborate the validity of the stability analysis for a ring of 10000 van der Pol oscillators.

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