The Three-Body Problem and the Equations of Dynamics [E-Book] : Poincaré's Foundational Work on Dynamical Systems Theory / by Henri Poincaré.
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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Full text |
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Personal Name(s): | Poincaré, Henri, author |
Edition: |
1st ed. 2017. |
Imprint: |
Cham :
Springer,
2017
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Physical Description: |
XXII, 248 pages 9 illustrations (online resource) |
Note: |
englisch |
ISBN: |
9783319528991 |
DOI: |
10.1007/978-3-319-52899-1 |
Series Title: |
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Astrophysics and Space Science Library ;
443 |
Subject (LOC): |
- 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. .