LEADER 03514nam  22006375  450 
001 9910164944903321
005 20190708092533.0
010   $a9781400882694
010   $a1400882699
024 7 $a10.1515/9781400882694
035   $a(CKB)3710000000628091
035   $a(SSID)ssj0001651332
035   $a(PQKBManifestationID)16425721
035   $a(PQKBTitleCode)TC0001651332
035   $a(PQKBWorkID)14220035
035   $a(PQKB)10010264
035   $a(MiAaPQ)EBC4792653
035   $a(DE-B1597)468007
035   $a(OCoLC)979633883
035   $a(DE-B1597)9781400882694
035   $a(Perlego)738854
035   $a(MiAaPQ)EBC4944750
035   $a(Au-PeEL)EBL4944750
035   $a(CaPaEBR)ebr11427414
035   $a(OCoLC)971364909
035   $a(EXLCZ)993710000000628091
100   $a20190708d2016      fg 
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aStable and Random Motions in Dynamical Systems $eWith Special Emphasis on Celestial Mechanics (AM-77) /$fJurgen Moser
205   $aWith a New foreword by Philip J. Holmes
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$d©2001
215   $a1 online resource (212 pages) $cillustrations
225 0 $aPrinceton Landmarks in Mathematics and Physics ;$v77
300   $a"The Institute for Advanced Study."
311 08$a9780691089102 
311 08$a0691089108 
320   $aIncludes bibliographical references.
327   $tFrontmatter -- $tTABLE OF CONTENTS -- $tI. INTRODUCTION -- $tII. STABILITY PROBLEMS -- $tIII. STATISTICAL BEHAVIOR -- $tV. FINAL REMARKS -- $tV. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS -- $tVI. PROOFS AND DETAILS FOR CHAPTER III -- $tBOOKS AND SURVEY ARTICLES
330   $aFor centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics.
410  0$aPrinceton landmarks in mathematics and physics.
410  0$aHermann Weyl lectures.
606   $aCelestial mechanics
615  0$aCelestial mechanics.
676   $a521/.1
700   $aMoser$b Jurgen, $040546
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910164944903321
996   $aStable and random motions in dynamical systems$9334062
997   $aUNINA