Stable and Random Motions in Dynamical Systems : : With Special Emphasis on Celestial Mechanics (AM-77) /

Stable and Random Motions in Dynamical Systems : : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser.

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...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Moser, Jurgen,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©2001
Year of Publication:2016
Edition:With a New foreword by Philip J. Holmes
Language:English
Series:Princeton Landmarks in Mathematics and Physics ; 38
Online Access:
Physical Description:1 online resource (216 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
LEADER 07808nam a22019215i 4500
001 9781400882694
003 DE-B1597
005 20220131112047.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 220131t20162001nju fo d z eng d
020 |a 9781400882694 
024 7 |a 10.1515/9781400882694  |2 doi 
035 |a (DE-B1597)468007 
035 |a (OCoLC)979633883 
040 |a DE-B1597  |b eng  |c DE-B1597  |e rda 
041 0 |a eng 
044 |a nju  |c US-NJ 
050 4 |a QB351  |b .M74 2001eb 
072 7 |a SCI005000  |2 bisacsh 
082 0 4 |a 521/.1 
100 1 |a Moser, Jurgen,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Stable and Random Motions in Dynamical Systems :  |b With Special Emphasis on Celestial Mechanics (AM-77) /  |c Jurgen Moser. 
250 |a With a New foreword by Philip J. Holmes 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2016] 
264 4 |c ©2001 
300 |a 1 online resource (216 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 0 |a Princeton Landmarks in Mathematics and Physics ;  |v 38 
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 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Celestial mechanics. 
650 7 |a SCIENCE / Physics / Astrophysics.  |2 bisacsh 
653 |a Accuracy and precision. 
653 |a Action-angle coordinates. 
653 |a Analytic function. 
653 |a Bounded variation. 
653 |a Calculation. 
653 |a Chaos theory. 
653 |a Coefficient. 
653 |a Commutator. 
653 |a Constant term. 
653 |a Continuous embedding. 
653 |a Continuous function. 
653 |a Coordinate system. 
653 |a Countable set. 
653 |a Degrees of freedom (statistics). 
653 |a Degrees of freedom. 
653 |a Derivative. 
653 |a Determinant. 
653 |a Differentiable function. 
653 |a Differential equation. 
653 |a Dimension (vector space). 
653 |a Discrete group. 
653 |a Divergent series. 
653 |a Divisor. 
653 |a Duffing equation. 
653 |a Eigenfunction. 
653 |a Eigenvalues and eigenvectors. 
653 |a Elliptic orbit. 
653 |a Energy level. 
653 |a Equation. 
653 |a Ergodic theory. 
653 |a Ergodicity. 
653 |a Euclidean space. 
653 |a Even and odd functions. 
653 |a Existence theorem. 
653 |a Existential quantification. 
653 |a First-order partial differential equation. 
653 |a Forcing function (differential equations). 
653 |a Fréchet derivative. 
653 |a Gravitational constant. 
653 |a Hamiltonian mechanics. 
653 |a Hamiltonian system. 
653 |a Hessian matrix. 
653 |a Heteroclinic orbit. 
653 |a Homoclinic orbit. 
653 |a Hyperbolic partial differential equation. 
653 |a Hyperbolic set. 
653 |a Initial value problem. 
653 |a Integer. 
653 |a Integrable system. 
653 |a Integration by parts. 
653 |a Invariant manifold. 
653 |a Inverse function. 
653 |a Invertible matrix. 
653 |a Iteration. 
653 |a Jordan curve theorem. 
653 |a Klein bottle. 
653 |a Lie algebra. 
653 |a Linear map. 
653 |a Linear subspace. 
653 |a Linearization. 
653 |a Maxima and minima. 
653 |a Monotonic function. 
653 |a Newton's method. 
653 |a Nonlinear system. 
653 |a Normal bundle. 
653 |a Normal mode. 
653 |a Open set. 
653 |a Parameter. 
653 |a Partial differential equation. 
653 |a Periodic function. 
653 |a Periodic point. 
653 |a Perturbation theory (quantum mechanics). 
653 |a Phase space. 
653 |a Poincaré conjecture. 
653 |a Polynomial. 
653 |a Probability theory. 
653 |a Proportionality (mathematics). 
653 |a Quasiperiodic motion. 
653 |a Rate of convergence. 
653 |a Rational dependence. 
653 |a Regular element. 
653 |a Root of unity. 
653 |a Series expansion. 
653 |a Sign (mathematics). 
653 |a Smoothness. 
653 |a Special case. 
653 |a Stability theory. 
653 |a Statistical mechanics. 
653 |a Structural stability. 
653 |a Symbolic dynamics. 
653 |a Symmetric matrix. 
653 |a Tangent space. 
653 |a Theorem. 
653 |a Three-body problem. 
653 |a Uniqueness theorem. 
653 |a Unitary matrix. 
653 |a Variable (mathematics). 
653 |a Variational principle. 
653 |a Vector field. 
653 |a Zero of a function. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Annals of Mathematics eBook-Package 1940-2020  |z 9783110494914  |o ZDB-23-PMB 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Backlist 2000-2013  |z 9783110442502 
776 0 |c print  |z 9780691089102 
856 4 0 |u https://doi.org/10.1515/9781400882694 
856 4 0 |u https://www.degruyter.com/isbn/9781400882694 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400882694/original 
912 |a 978-3-11-044250-2 Princeton University Press eBook-Package Backlist 2000-2013  |c 2000  |d 2013 
912 |a EBA_BACKALL 
912 |a EBA_CL_MTPY 
912 |a EBA_EBACKALL 
912 |a EBA_EBKALL 
912 |a EBA_ECL_MTPY 
912 |a EBA_EEBKALL 
912 |a EBA_ESTMALL 
912 |a EBA_PPALL 
912 |a EBA_STMALL 
912 |a GBV-deGruyter-alles 
912 |a PDA12STME 
912 |a PDA13ENGE 
912 |a PDA18STMEE 
912 |a PDA5EBK 
912 |a ZDB-23-PMB  |c 1940  |d 2020 

Similar Items