ISSN:
1572-9613
Keywords:
Self-synchronization
;
Van der Pol oscillator
;
fluctuations
;
phase transition
;
rhythm
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract A statistical mechanical theory is presented for the self-organization of a macroscopic oscillation with the presence of external fluctuations in a system of Van der Pol oscillators coupled through dissipative interactions. Starting from Langevin equations for the Van der Pol oscillators, the static and dynamic characteristics are studied. The threshold condition is given by the relative size between the fluctuation and the interaction. The transitions between synchronous and asynchronous phases are well discussed by a Landau-type equation. The steady state value of the order parameter and the onset time are compared between the theory and the computer experiments and a good agreement is obtained.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01010935
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