Universal Critical Behavior of Noisy Coupled Oscillators
نویسندگان
چکیده
منابع مشابه
Universal 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 کاملUniversal critical behavior of noisy coupled oscillators: a renormalization group study.
We show that the synchronization transition of a large number of noisy coupled oscillators is an example for a dynamic critical point far from thermodynamic equilibrium. The universal behaviors of such critical oscillators, arranged on a lattice in a d -dimensional space and coupled by nearest-neighbors interactions, can be studied using field-theoretical methods. The field theory associated wi...
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 کاملReentrant transition in coupled noisy oscillators.
We report on a synchronization-breaking instability observed in a noisy oscillator unidirectionally coupled to a pacemaker. Using a phase oscillator model, we find that, as the coupling strength is increased, the noisy oscillator lags behind the pacemaker more frequently and the phase slip rate increases, which may not be observed in averaged phase models such as the Kuramoto model. Investigati...
متن کاملCollective Behavior of Coupled Quantum Mechanical Oscillators
A simple model of coupled oscillators is investigated from the perspective of quantum mechanics. The classical model of two oscillators connected by a common platform can be easily solved analytically, but the quantum system requires a numerical approach. We assume that both the oscillators and the platform are quantum objects in their respective ground states at start and they evolve in time 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: 2004
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.93.175702