Synchrony of limit-cycle oscillators induced by random external impulses

Abstract

The mechanism of phase synchronization between uncoupled limit-cycle oscillators induced by common external impulsive forcing is analyzed. By reducing the dynamics of the oscillator to a random phase map, it is shown that phase synchronization generally occurs when the oscillator is driven by weak external impulses in the limit of large inter-impulse intervals. The case where the inter-impulse intervals are finite is also analyzed perturbatively for small impulse intensity. For weak Poissonian impulses, it is shown that the phase synchronization persists up to the first order approximation.

18 pages, 9 figures

References in corpus (1)

• Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators

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