Random perturbations of nonlinear oscillators
نویسندگان
چکیده
منابع مشابه
On the effect of random perturbations in a nonlinear system
Many such studies have focused on first passage timesz3 or on steady state densities which have sometimes been estimated using electronic simulation.4 In some of the cases examined the noise has been multiplicative rather than additive and correlated (colored) rather than uncorrelated (white). Similar stochastic effects have been studied in several biological contexts5-’ In Ref. 3 the nonlinear...
متن کاملNonlinear renewal theorems for random walks with perturbations ofintermediate order
We develop nonlinear renewal theorems for a perturbed random walk without assuming stochastic boundedness of centered perturbation terms. A second order expansion of the expected stopping time is obtained via the uniform integrability of the difference between certain linear and nonlinear stopping rules. An intermediate renewal theorem is obtained which provides expansions between the nonlinear...
متن کاملEntropy via Random Perturbations
The entropy of a dynamical system S' on a hyperbolic attractor with respect to the Bowen-Ruelle-Sina) measure is obtained as a limit of entropy characteristics of small random perturbations x' of S'. Both the case of perturbations only in some neighborhood of an attractor and global perturbations of a flow with hyperbolic attracting sets are considered.
متن کاملSynchronization of driven nonlinear oscillators
Mathematical models of nonlinear oscillators are used to describe a wide variety of physical and biological phenomena that exhibit self-sustained oscillatory behavior. When these oscillators are strongly driven by forces that are periodic in time, they often exhibit a remarkable ‘‘mode-locking’’ that synchronizes the nonlinear oscillations to the driving force. The purpose of this paper is to d...
متن کاملSynchronization Analysis of Nonlinear Oscillators
The possibilities of studying nonlinear physical systems by small feedback action are discussed. Analytical bounds of possible system energy change by feedback are established. The feedback resonance and synchronization phenomena are studied for 2-DOF system consisting of two coupled pendulums. Computer simulation results are presented.
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: The Annals of Probability
سال: 1998
ISSN: 0091-1798
DOI: 10.1214/aop/1022855739