ISSN:
1572-9613
Keywords:
Nonlinear oscillator
;
bifurcation
;
phase transition
;
mean-field model
;
self-synchronization
;
collective phenomena
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We analyze a large system of limit-cycle oscillators with mean-field coupling and randomly distributed natural frequencies. We prove that when the coupling is sufficiently strong and the distribution of frequencies has sufficiently large variance, the system undergoes “amplitude death”-the oscillators pull each other off their limit cycles and into the origin, which in this case is astable equilibrium point for the coupled system. We determine the region in couplingvariance space for which amplitude death is stable, and present the first proof that the infinite system provides an accurate picture of amplitude death in the large but finite system.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01013676
Permalink
