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The Three-Body Problem and the Equations of Dynamics
Language: en
Pages: 265
Authors: Henri Poincaré
Categories: Mathematics
Type: BOOK - Published: 2017-05-11 - Publisher: Springer

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Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos
Dynamical Systems
Language: en
Pages: 336
Authors: Wang Sang Koon
Categories: Mathematics
Type: BOOK - Published: 2011-06-01 - Publisher: Springer

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This book considers global solutions to the restricted three-body problem from a geometric point of view. The authors seek dynamical channels in the phase space
The Three-Body Problem
Language: en
Pages: 366
Authors: Mauri J. Valtonen
Categories: Mathematics
Type: BOOK - Published: 2006-03-02 - Publisher: Cambridge University Press

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How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over th
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Language: en
Pages: 389
Authors: Kenneth R. Meyer
Categories: Mathematics
Type: BOOK - Published: 2017-05-04 - Publisher: Springer

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This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, reade
The Restricted Three-Body Problem and Holomorphic Curves
Language: en
Pages: 381
Authors: Urs Frauenfelder
Categories: Mathematics
Type: BOOK - Published: 2018-08-29 - Publisher: Springer

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The book serves as an introduction to holomorphic curves in symplectic manifolds, focusing on the case of four-dimensional symplectizations and symplectic cobor