Books in the Advanced Series in Nonlinear Dynamics series

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.

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.