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Random Dynamical Systems
Cambridge University Press 2007; US$ 40.00Surveys topics in the theory and applications of dynamical systems subject to random shocks. more...
Integrable Hamiltonian Systems: Geometry, Topology,
CRC Press 2004; US$ 149.95This volume considers the theory and applications of integrable Hamiltonian systems. Basic elements of Liouville functions and their singularities is systematically described and a classification of such systems for the case of integrable more...
The Restricted 3-Body Problem: Plane Periodic Orbits
De Gruyter 1994; US$ 238.00The Restricted 3-Body Problem: Plane Periodic Orbits (Special Research Unit 227--Prevention and Intervention in Ch) more...
Quantum Integrable Systems
Chapman & Hall/CRC 2004; US$ 139.95Over the past 30 years, significant advances have been made in the field of integrable systems and their applications in statistical mechanics and mathematical physics, yet no book on the subject has been published since 1993. This monograph, the work of established authors in quantum mechanics, introduces the subject in a clear, logical way. The treatment... more...
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Springer 2009; US$ 79.95Based on the notes from a graduate course taught to students in mathematics and mechanical engineering, this text takes students who had some basic knowledge of differential equations and leads them through a systematic grounding in the theory of Hamiltonian systems, an introduction to the theory of integrals and reduction. more...
Simulating Hamiltonian Dynamics
Cambridge University Press 2005; US$ 81.00Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods and applications. Includes examples and excercises. more...
Introduction to the Perturbation Theory of Hamiltonian Systems
Springer 2009; US$ 99.99This 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...
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