The Three-Body Problem and the Equations of Dynamics Poincaré’s Foundational Work on Dynamical Systems Theory
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 to the equations o...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2017, 2017
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| Edition: | 1st ed. 2017 |
| Series: | Astrophysics and Space Science Library
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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.