Multi-Hamiltonian Theory of Dynamical Systems
By: by Maciej Blaszak
Series: Texts and Monographs in Physics, 1864-5879; Texts and monographs in physics
Publisher: Springer Berlin Heidelberg
Published: 1998
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 350
ISBN-13: 9783642588938
Description: This is a modern approach to Hamiltonian systems where multi-Hamiltonian systems are presented in book form for the first time. These systems allow a unified treatment of finite, lattice and field systems. Having more than one Hamiltonian formulation in a single coordinate system for a nonlinear system is a property closely related to integrability. Thus, the book presents an algebraic theory of integrable systems. It is written for scientists and graduate students.
Table of contents: title: From the Contents: Preliminary considerations; title: Elements of differential calculus for tensor fields; title: The theory of Hamiltonian and bi-Hamiltonian systems; title: Lax representations of multi-Hamiltonian systems; title: Multi-Hamiltonian soliton particles; title: Multi-Hamiltonian finite dimensional systems; title: Multi-Hamiltonian Lax dynamics.