Here we review and extend central limit theorems for chaotic deterministic semi-dynamical
discrete time systems. We then apply these results to show how Brownian motion-like …

A droplet bouncing on the surface of a vertically vibrating liquid bath can walk horizontally,
guided by the waves it generates on each impact. This results in a self-propelled classical …

This book describes new applications for spatio-temporal chaotic dynamical systems in
elementary particle physics and quantum field theories. The stochastic quantization …

The state of a classical point-particle system may often be specified by giving the position
and momentum for each constituent particle. For non-pointlike particles, the center-of-mass …

This paper addresses the question of how Brownian-like motion can arise from the solution
of a deterministic differential delay equation. To study this we analytically study the …

By means of two geometrical approaches:(i) the potential landscape, and (ii) the
Hamiltonian manifold method, we have found the relations that predict the transition to …

Elementary cellular automata (ECA) present iconic examples of complex systems. Though
described only by one-dimensional strings of binary cells evolving according to nearest …

研究了空时非对称分数阶类Langevin 分子马达棘齿模型, 其中势函数是空间对称破缺的周期势,
时间非对称类Langevin 噪声由Logistic 映射生成, 而分数阶则刻画了分子马达工作环境的非 …

We show that the Perron-Frobenius equation of microscopic chaos based on double
symmetric maps leads to an inhomogeneous Smoluchowski equation with a source term …

In this paper, a heterogeneous channel-coding scheme that combines a convolutional
codec and a chaotic system into a single unit is proposed. The goal is to achieve a new …