After a short excursion from the discovery of Brownian motion to the Richardson" law of four
thirds" in turbulent diffusion, the article introduces the Lévy flight superdiffusion as a self …

This book contains comprehensive descriptions of stochastic processes described by
underdamped and overdamped oscillator equations with additive and multiplicative random …

The first two moments of an underdamped harmonic oscillator were found for additive and
multiplicative noises. A detailed analysis is performed of the case of a random damping …

We present the analysis of the first passage time problem on a finite interval for the
generalized Wiener process that is driven by Lévy stable noises. The complexity of the first …

In this article, we propose a decentralized approach to formation control in groups of
stochastic mobile robots. Different from existing work, we explicitly model the presence of …

针对具有记忆效应的欠阻尼系统, 存在时滞反馈与涨落质量, 本文主要研究了其输出稳态响应
振幅的随机共振效应. 首先通过引入新变量和运用小时滞近似展开理论, 将具有非马尔科夫特性 …

The exact expression of the first moment and the signal-to-noise ratio (SNR) have been
calculated for a linear system subject to an external periodic field as well as a multiplicative …

The renormalized bond lifetime model (RBLM) is a popular scaling theory for the effective
lifetime of reversible bonds in transient networks. It recognizes that stickers connected by a …

We study the transport phenomena of an inertial Brownian particle in a symmetric potential
with periodicity, which is driven by an external time-periodic force and an external constant …

In a very long Gaussian polymer on time scales shorter than the maximal relaxation time, the
mean squared distance traveled by a tagged monomer grows as∼ t 1∕ 2. We analyze such …