Synchrony of limit-cycle oscillators induced by random external impulses

Details Synchrony of limit-cycle oscillators induced by random external impulses Synchrony of limit-cycle oscillators induced by random external impulses

2005-05-12

arxiv.org/abs/nlin/0505029v1

Phys. Rev. E 72, 026220 (2005)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

18 pages, 9 figures

Scientific paper

10.1103/PhysRevE.72.026220

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.

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