[BOOK][B] Chaos: from simple models to complex systems

A Vulpiani - 2010 - books.google.com
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 …

Stability transformation: a tool to solve nonlinear problems

D **el, P Schmelcher, FK Diakonos - Physics Reports, 2004 - Elsevier
We present an analysis of the properties as well as the diverse applications and extensions
of the method of stabilisation transformation. This method was originally invented to detect …

[BOOK][B] Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics

R Klages - 2007 - books.google.com
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 …

An investigation of the survival probability for chaotic diffusion in a family of discrete Hamiltonian map**s

D Borin, ALP Livorati, ED Leonel - Chaos, Solitons & Fractals, 2023 - Elsevier
Diffusive processes usually model the transport of particles in nonlinear systems. Complete
chaos leads to normal diffusion, while mixed phase space gives rise to a phenomenon …

Heat conductivity and dynamical instability

D Alonso, R Artuso, G Casati, I Guarneri - Physical review letters, 1999 - APS
We present a series of numerical and analytical computations on heat conduction for a
strongly chaotic system—the Lorentz gas. Heat conduction is characterized by nontrivial …

Chaotic scattering theory, thermodynamic formalism, and transport coefficients

P Gaspard, JR Dorfman - Physical Review E, 1995 - APS
The foundations of the chaotic scattering theory for transport and reaction-rate coefficients
for classical many-body systems are considered here in some detail. The thermodynamic …

Simple maps with fractal diffusion coefficients

R Klages, JR Dorfman - Physical review letters, 1995 - APS
We consider chains of one-dimensional, piecewise linear, chaotic maps with uniform slope.
We study the diffusive behavior of an initially nonuniform distribution of points as a function …

Mathematical aspects of quantum maps

MD Esposti, S Graffi - The mathematical aspects of quantum maps, 2003 - Springer
In this contribution we will review the basic mathematical aspects of quantum maps. Here is
a brief outline of the topics covered in this contribution. Most of the material comes from …

[BOOK][B] Dispersive kinetics

A Plonka - 2013 - books.google.com
Dynamical processes in which many timescales coexist are called dispersive. The rate
coefficients for dispersive processes depend on time. In the case of a chemical reaction, the …

Dynamical averaging in terms of periodic orbits

P Cvitanović - Physica D: Nonlinear Phenomena, 1995 - Elsevier
PHYSICA Page 1 ELSEVIER Physlca D 83 (1995) 109-123 PHYSICA Dynamical averaging in
terms of periodic orbits Predrag Cvltanovld 1 Center for Studtes tn Phy~lc ~ and Btologv …