Bøker i Advanced Series in Nonlinear Dynamics-serien

A guide to the geometrical theory of dynamical systems, fluid flows and certain integrable systems. It helps to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples.

A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the reversibility paradox, with modern tools. This book emphasizes the author's approach to the problem of understanding the compatibility of the irreversible second law of thermodynamics with an underlying time-reversible mechanics.

Offers a modern differential geometric treatment of linearly nonholonomically constrained systems. This title discusses what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the Poisson bracket structure of its algebra of smooth functions.

Provides a summary of central topics in the field of nonequilibrium statistical mechanics and dynamical systems theory. This book considers Hamiltonian dynamical systems under nonequilibrium boundary conditions and non-Hamiltonian modelings of nonequilibrium steady states by using thermal reservoirs.

This book aims to provide a lively working knowledge of the thermodynamic control of microscopic simulations, while summarizing the historical development of the subject, along with some personal reminiscences.

This text is intended to bring the reader to the frontier of this active research area which is concerned with renormalization and rigidity in one dimensional dynamics.