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#### Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory

Princeton University Press 2015; US$ 42.95 US$ 39.08John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach—known as Aubry-Mather theory—singles out the existence of special orbits and invariant measures of the system, which possess... more...

#### Geometry of Nonholonomically Constrained Systems

World Scientific Publishing Company 2009; US$ 106.00 US$ 96.46This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail 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 almost Poisson bracket structure of its algebra of smooth functions.... more...

#### Hamiltonian Cycle Problem and Markov Chains

Springer New York 2012; US$ 129.32This book summarizes a line of research that maps certain classical problems of discrete mathematics and operations research - such as the Hamiltonian cycle and the Travelling Salesman problems – into convex domains where continuum analysis can be carried out. more...

#### Integrable Hamiltonian Systems

CRC Press 2004; US$ 172.95Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological invariants. The authors, both of... more...

#### Integrable Systems

Oxford University Press 2013; US$ 41.99This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors. The book has its origins in a series of lecture courses given by the authors, all of whom are internationally known mathematicians and renowned expositors. It is written in an accessible and informal... more...

#### Introduction to Hamiltonian Dynamical Systems and the N-Body Problem

Springer New York 2008; US$ 105.81Arising from a graduate course taught to math and engineering students, this text provides a systematic grounding in the theory of Hamiltonian systems, as well as introducing the theory of integrals and reduction. A number of other topics are covered too. more...

#### Introduction to the Perturbation Theory of Hamiltonian Systems

Springer Berlin Heidelberg 2009; US$ 129.32This book presents the basic methods of regular perturbation theory of Hamiltonian systems, including KAM-theory, splitting of asymptotic manifolds, the separatrix map, averaging, anti-integrable limit, etc. in a readable way. Despite its small size, it discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems and most... more...

#### Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics

Springer International Publishing 2014; US$ 50.55This brief presents numerical methods for describing and calculating invariant phase space structures, as well as solving the classical and quantum equations of motion for polyatomic molecules. Examples covered include simple model systems to realistic cases of molecules spectroscopically studied. Vibrationally excited and reacting molecules are... more...

#### Quantum Integrable Systems

CRC Press 2004; US$ 159.95The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the more... more...

#### Random Dynamical Systems

Cambridge University Press 2007; US$ 44.00Surveys topics in the theory and applications of dynamical systems subject to random shocks. more...