Nonequilibrium critical behavior in unidirectionally coupled stochastic processes
نویسندگان
چکیده
منابع مشابه
Bicritical scaling behavior in unidirectionally coupled oscillators.
We study the scaling behavior of period doublings in a system of two unidirectionally coupled parametrically forced pendulums near a bicritical point where two critical lines of period-doubling transition to chaos in both subsystems meet. When crossing a bicritical point, a hyperchaotic attractor with two positive Lyapunov exponents appears, i.e., a transition to hyperchaos occurs. Varying the ...
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 کاملNonequilibrium Dynamics of Stochastic Point Processes with Refractoriness Nonequilibrium Dynamics of Stochastic Point Processes with Refractoriness
Stochastic point processes with refractoriness appear frequently in the quantitative analysis of physical and biological systems, such as the generation of action potentials by nerve cells, the release and reuptake of vesicles at a synapse, and the counting of particles by detector devices. Here we present an extension of renewal theory to describe ensembles of point processes with time varying...
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 کاملBifurcation and chaos in unidirectionally coupled oscillators
| Bifurcations of equilibrium points and limit cycles in unidirectionally coupled three oscillators are studied. According to their symmetrical properties, we classify equilibrium points and limit cycles into three and eight di erent types, respectively. Possible oscillations in unidirectional coupled three oscillators are presented by calculating Hopf bifurcation sets of equilibrium points. We...
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 E
سال: 1999
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.59.6381