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Stable and random motions in dynamical systems /
For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton Univ Press,
2016.
|
| Colección: | Princeton landmarks in mathematics and physics.
Hermann Weyl lectures. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Moser, Jurgen. | |
| 245 | 1 | 0 | |a Stable and random motions in dynamical systems / |c by Jugen Moser ; with a new foreword by Philip J. Holmes. |
| 260 | |a Princeton : |b Princeton Univ Press, |c 2016. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 490 | 1 | |a Princeton landmarks in mathematics and physics | |
| 490 | 1 | |a Hermann Weyl lectures | |
| 505 | 0 | 0 | |t Frontmatter -- |t TABLE OF CONTENTS -- |t I. INTRODUCTION -- |t II. STABILITY PROBLEMS -- |t III. STATISTICAL BEHAVIOR -- |t V. FINAL REMARKS -- |t V. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS -- |t VI. PROOFS AND DETAILS FOR CHAPTER III -- |t BOOKS AND SURVEY ARTICLES. |
| 520 | |a For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics. | ||
| 546 | |a In English. | ||
| 504 | |a Includes bibliographical references (pages 191-198). | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Celestial mechanics. | |
| 650 | 6 | |a Mécanique céleste. | |
| 650 | 7 | |a SCIENCE |x Physics |x Astrophysics. |2 bisacsh | |
| 650 | 7 | |a Celestial mechanics |2 fast | |
| 650 | 7 | |a Mécanique céleste. |2 ram | |
| 653 | 0 | |a Celestial mechanics | |
| 776 | 0 | 8 | |c Original |z 0691089108 |z 9780691089102 |w (DLC) 2001016309 |w (OCoLC)45784321 |
| 830 | 0 | |a Princeton landmarks in mathematics and physics. | |
| 830 | 0 | |a Hermann Weyl lectures. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt1bd6kg5 |z Texto completo |
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