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#### Action-minimizing Methods in Hamiltonian Dynamics: An Introduction to Aubry-Mather Theory

Princeton University Press 2015; US$ 45.00John 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...

#### The Restricted 3-Body Problem: Plane Periodic Orbits

De Gruyter 1994; US$ 266.00The Restricted 3-Body Problem: Plane Periodic Orbits (Special Research Unit 227--Prevention and Intervention in Ch) 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...

#### Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics

Springer International Publishing 2014; US$ 54.99This 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$ 159.95NONLINEAR SYSTEMS AND CLASSICAL IST Introduction Definition of Integrability Lax Pair Technique Inverse Scattering Transform Hamiltonian Structure COORDINATE BETHE ANSATZ Introduction Nonlinear Systems and the CBA Fermionic System Boundary Condition in Bethe Ansatz Heisenberg Spin Chain Spin of the Bethe Ansatz State Other Integrable Models YANG-BAXTER... more...

#### Simulating Hamiltonian Dynamics

Cambridge University Press 2005; US$ 64.00A complete theoretical framework and guide to numerical geometric integration techniques. Includes examples and exercises. 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...

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

Springer 2009; US$ 129.00This 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...

#### Geometry of Nonholonomically Constrained Systems

World Scientific Publishing Company 2009; US$ 172.00This 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...