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Integrable Hamiltonian Systems: Geometry, Topology, Classification

Integrable Hamiltonian Systems: Geometry, Topology, Classification

Paperback

General MathematicsGeometry

ISBN10: 0367394502
ISBN13: 9780367394509
Publisher: CRC Press
Published: Oct 23 2019
Pages: 748
Weight: 2.35
Height: 1.70 Width: 6.10 Depth: 9.20
Language: English
This volume describes and fully illustrates both the theory and applications of integrable Hamiltonian systems. Exploring the basic elements of Liouville functions and their singularities, it systematically classifies such systems for the case of integrable Hamiltonian systems with two degrees of freedom. It also describes the nontrivial connections between this theory and three-dimensional topology and gives a topological description of the behavior of integral trajectories under Liouville tori bifurcation. Integrable Hamiltonian Systems: Geometry, Topology, Classification will appeal to graduate students of mathematics and mathematicians working in the theory of dynamical systems and their applications.

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