Download E-books Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (Applied Mathematical Sciences) PDF

By Kenneth R. Meyer

This publication provides a scientific grounding within the idea of Hamiltonian differential equations from a dynamical structures standpoint. It develops a superior beginning for college students to learn a few of the present study on Hamiltonian structures. issues lined comprise an in depth dialogue of linear Hamiltonian structures, an creation to the speculation of integrals and relief, Poincare's continuation of periodic answer, general types and functions of KAM conception. A bankruptcy is dedicated to the idea of twist maps and diverse extensions of the vintage Poincare-Birkhoff mounted aspect theorem.

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