Chaos: from simple models to complex systems aims to guide science and engineering
students through chaos and nonlinear dynamics from classical examples to the most recent …

Brownian motion-the incessant motion of small particles suspended in a fluid-is an important
topic in statistical physics and physical chemistry. This book studies its origin in molecular …

The only integrative approach to chaos and random fractal theory Chaos and random fractal
theory are two of the most important theories developed for data analysis. Until now, there …

One century after Einstein's work, Brownian motion still remains both a fundamental open
issue and a continuous source of inspiration for many areas of natural sciences. We first …

Time series from complex systems with interacting nonlinear and stochastic subsystems and
hierarchical regulations are often multiscaled. In devising measures characterizing such …

A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …

The Lorentz gas, a point particle making mirror-like reflections from an extended collection of
scatterers, has been a useful model of deterministic diffusion and related statistical …

Much recent interest has focused on" open" dynamical systems, in which a classical map or
flow is considered only until the trajectory reaches a" hole", at which the dynamics is no …

A detail study of the diffusive and heat conduction properties of a family of nonchaotic
billiards is presented. For dynamical systems with dynamical instability the relation between …

Consider a particle diffusing in a confined volume which is divided into two equal regions. In
one region, the diffusion coefficient is twice the value of the diffusion coefficient in the other …