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Record Nr. |
UNINA9910254581403321 |
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Autore |
Poincaré Henri |
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Titolo |
The Three-Body Problem and the Equations of Dynamics : Poincaré’s Foundational Work on Dynamical Systems Theory / / by Henri Poincaré |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
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ISBN |
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Edizione |
[1st ed. 2017.] |
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Descrizione fisica |
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1 online resource (XXII, 248 p. 9 illus.) |
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Collana |
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Astrophysics and Space Science Library, , 0067-0057 ; ; 443 |
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Disciplina |
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Soggetti |
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Dynamics |
Ergodic theory |
Statistical physics |
Astrophysics |
Physics |
Planetary science |
Dynamical Systems and Ergodic Theory |
Statistical Physics and Dynamical Systems |
Astrophysics and Astroparticles |
History and Philosophical Foundations of Physics |
Planetary Sciences |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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Translator's Preface -- Author's Preface -- Part I. Review -- Chapter 1 General Properties of the Differential Equations -- Chapter 2 Theory of Integral Invariants -- Chapter 3 Theory of Periodic Solutions -- Part II. Equations of Dynamics and the N-Body Problem -- Chapter 4 Study of the Case with Only Two Degrees of Freedom -- Chapter 5 Study of the Asymptotic Surfaces -- Chapter 6 Various Results -- Chapter 7 Attempts at Generalization -- Erratum. References -- Index. . |
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Sommario/riassunto |
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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 theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation |
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