Universality of Synchrony: Critical Behavior in a Discrete Model of Stochastic Phase-Coupled Oscillators
نویسندگان
چکیده
منابع مشابه
Universality of synchrony: critical behavior in a discrete model of stochastic phase-coupled oscillators.
We present the simplest discrete model to date that leads to synchronization of stochastic phase-coupled oscillators. In the mean field limit, the model exhibits a Hopf bifurcation and global oscillatory behavior as coupling crosses a critical value. When coupling between units is strictly local, the model undergoes a continuous phase transition which we characterize numerically using finite-si...
متن کاملCritical behavior and synchronization of discrete stochastic phase-coupled oscillators.
Synchronization of stochastic phase-coupled oscillators is known to occur but difficult to characterize because sufficiently complete analytic work is not yet within our reach, and thorough numerical description usually defies all resources. We present a discrete model that is sufficiently simple to be characterized in meaningful detail. In the mean-field limit, the model exhibits a supercritic...
متن کاملSynchrony and Critical Behavior: Equilibrium Universality in Nonequilibrium Stochastic Oscillators
* Department of Chemistry and Biochemistry, Department of Physics, and Institute for Nonlinear Science, University of California San Diego, 9500 Oilman Drive, La Jolla, CA 92093-0340, USA ^Hasselt University, Diepenbeek, B-3590, Belgium "Department of Physics, University of Alabama at Birmingham, Birmingham, AL 35294, USA * Department of Chemistry and Biochemistry and Institute for Nonlinear Sc...
متن کاملUniversality in the one-dimensional chain of phase-coupled oscillators.
We apply a recently developed renormalization-group (RG) method to study synchronization in a one-dimensional chain of phase-coupled oscillators in the regime of weak randomness. The RG predicts how oscillators with randomly distributed frequencies and couplings form frequency-synchronized clusters. Although the RG was originally intended for strong randomness, i.e., for distributions with long...
متن کاملUniversal critical behavior of noisy coupled oscillators.
We study the universal thermodynamic properties of systems consisting of many coupled oscillators operating in the vicinity of a homogeneous oscillating instability. In the thermodynamic limit, the Hopf bifurcation is a dynamic critical point far from equilibrium described by a statistical field theory. We perform a perturbative renormalization group study, and show that at the critical point a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2006
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.96.145701