English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses

MPS-Authors
/persons/resource/persons21906

Nakao,  Hiroya
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

External Ressource
No external resources are shared
Fulltext (public)

357581.pdf
(Preprint), 2MB

Supplementary Material (public)
There is no public supplementary material available
Citation

Arai, K., & Nakao, H. (2008). Phase coherence in an ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses. Physical Review E, 77(3): 036218. doi:10.1103/PhysRevE.77.036218.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0010-FD32-A
Abstract
An ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses shows a range of nontrivial behavior, from synchronization, desynchronization, to clustering. The group behavior that arises in the ensemble can be predicted from the phase response of a single oscillator to a given impulsive perturbation. We present a theory based on phase reduction of a jump stochastic process describing a Poisson-driven limit-cycle oscillator, and verify the results through numerical simulations and electric circuit experiments. We also give a geometrical interpretation of the synchronizing mechanism, a perturbative expansion to the stationary phase distribution, and the diffusion limit of our jump stochastic model.