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Quasi-periodic motions in families of dynamical systems order amidst chaos by H. W. Broer

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Published by Springer in Berlin, New York .
Written in English

Subjects:

  • Hamiltonian systems,
  • Flows (Differentiable dynamical systems),
  • Perturbation (Mathematics),
  • Torus (Geometry)

Book details:

Edition Notes

Includes bibliographical references (p. [169]-192) and index.

StatementHendrik W. Broer, George B. Huitema, Mikhail B. Sevryuk.
SeriesLecture notes in mathematics,, 1645, Lecture notes in mathematics (Springer-Verlag) ;, 1645.
ContributionsHuitema, George B., 1957-, Sevryuk, M. B.
Classifications
LC ClassificationsQA3 .L28 no. 1645, QA614.83 .L28 no. 1645
The Physical Object
Paginationxi, 195 p. :
Number of Pages195
ID Numbers
Open LibraryOL1000759M
ISBN 103540620257
LC Control Number96039689

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This book is devoted to the phenomenon of quasi-periodic motion in dynamical systems. Such a motion in the phase space densely fills up an invariant torus. This phenomenon is most familiar from Hamiltonian dynamics. This book is devoted to the phenomenon of quasi-periodic motion in dynamical systems. On the one hand, Hamiltonian systems occur that are in complete order: these are the integrable systems where all Read more. Get this from a library! Quasi-periodic motions in families of dynamical systems: order amidst chaos. [H W Broer; George B Huitema; M B Sevryuk] -- This book is on Kolmogorov-Arnol'd-Moser theory for quasi-periodic tori in dynamical systems. It gives an up-to-date report on the role parameters play for persis- tence of such tori, typically. Buy Quasi-Periodic Motions in Families of Dynamical Systems Books online at best prices in India by Hendrik W. Broer,George B. Huitema,Mikhail B. Sevryuk,H. W. Broer from Buy Quasi-Periodic Motions in Families of Dynamical Systems online of India’s Largest Online Book Store, Only Genuine Products. Lowest price and Replacement Guarantee.

Quasi-Periodic Motions in Families of Dynamical Systems Covering Kolmogorov-Arnol'd-Moser theory for Quasi-Periodic tori in dynamical systems, this text gives an up-to-date report on the role parameters play for persistance of tori. Abstract. One of the central topics in the qualitative theory of differential equations is the study of invariant submanifolds. A number of general theorems establishing the existence and/or persistence and describing the properties of those submanifolds play a fundamental rôle in the analysis of nonlinear dynamical systems [23, 64, 13].Cited by: Quasi-Periodic Motions in Families of Dynamical Systems Order amidst Chaos Jfl Springer Occurrence of quasi-periodicity 6 Quasi-periodic attractors 6 Quasi-periodic motions in conservative examples 13 Quasi-periodic responses 15 A further setting of the problem 16 Whitney-smooth families of tori: a. Quasi-periodic motions in families of dynamical systems - Order amidst chaos - Introduction and examples: Published in: QUASI-PERIODIC MOTIONS IN FAMILIES OF DYNAMICAL SYSTEMS, 1 - Series: LECTURE NOTES IN MATHEMATICS, SPRINGER-VERLAG BERLIN: Author: Broer, HW, Huitema, GB, Sevryuk, MB: Publisher: Faculty of Science and Engineering Cited by: 1.

L. Stefanelli, Periodic and Quasi-periodic Motions in Nearly-integrable Dissipative Systems with Application to Celestial Mechanics,, Ph.D. Thesis, (). Google Scholar [64] L. Stefanelli and U. Locatelli, Kolmogorov's normal form for equations of motion with dissipative effects,, DCDS-B, Cited by: 7. --Zentralblatt MATH In , G. D. Birkhoff wrote a remarkable treatise on the theory of dynamical systems that would inspire many later mathematicians to do great work. To a large extent, Birkhoff was writing about his own work on the subject, which was itself strongly influenced by Poincare's approach to dynamical systems. We consider families of dynamical systems having invariant tori that carry quasi-periodic motions. Our interest is the persistence of such tori under small, nearly-integrable perturbations. Quasi-periodic Invariant Tori of Time-periodic Dynamical Systems: Applications to Small Body Exploration Conference Paper (PDF Available) September .