Noise induced escape from the domain of attraction of a nonhyperbolic chaotic attractor in a
periodically excited nonlinear oscillator is investigated. The general mechanism of the …

This paper introduces the basic ideas of large deviation theory and its applications in the
study of exit problems of non-Gaussian stochastic dynamical systems. According to different …

Networks of nonlinear parametric resonators are promising candidates as Ising machines for
annealing and optimization. These many-body out-of-equilibrium systems host complex …

Small noise can induce rare transitions between metastable states, which can be
characterized by Maximum Likelihood Paths (MLPs). Nongradient systems contrast gradient …

We investigate noise-induced transitions in non-gradient systems when complex invariant
sets emerge. Our example is the Lorenz system in three representative Rayleigh number …

When a dynamical system exhibits transient chaos and a nonchaotic attractor, as in a
periodic window, noise can induce a chaotic attractor. In particular, when the noise …

本文介绍了大偏差理论的基本思想及其在非高斯随机动力系统的离出问题研究中的应用.
依据不同的非高斯噪声类型, 本文分别评述了随机混合系统, 指数轻跳跃过程和$\alpha …

In the present paper, the noise-induced escape from stable invariant tori with the frame of
general Langevin dynamics is investigated under weak random perturbations. Based on the …

Environmental noise can lead to complex stochastic dynamical behaviors in nonlinear
systems. In this paper, a Lorenz system with the parameter region with two stable fixed …

Noise-induced escape from the domain of attraction of a nonhyperbolic chaotic attractor in a
periodically excited nonlinear oscillator is further investigated. Deviations are found to be …