The Three-Body Problem and the Equations of Dynamics Poincaré’s Foundational Work on Dynamical Systems Theory /

• Κύριος συγγραφέας: Poincaré, Henri (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Astrophysics and Space Science Library, 443
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Astrophysics.; Physics.; Dynamical Systems and Ergodic Theory.; Statistical Physics and Dynamical Systems.; Astrophysics and Astroparticles.; History and Philosophical Foundations of Physics.; Planetary Sciences.

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...

Πίνακας περιεχομένων:

• 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. .