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Updated: Aug 15, 2026

Generation of Local CA1 γ Oscillations by Tetanic Stimulation
Published on: August 14, 2015
Synchrony of limit-cycle oscillators induced by random external impulses
Hiroya Nakao1, Ken-Suke Arai, Ken Nagai
1Department of Physics, Kyoto University, Kyoto 606-8502, Japan. nakao@ton.scphys.kyoto-u.ac.jp
Abstract:
The mechanism of phase synchronization between uncoupled limit-cycle oscillators induced by common random 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 random impulsive forcing in the limit of large interimpulse intervals. The case where the interimpulse intervals are finite is also analyzed perturbatively for small impulse intensity. For weak Poisson impulses, it is shown that the phase synchronization persists up to the first order approximation.
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