Cover of: Quasi-periodic motions in families of dynamical systems | H. W. Broer

Quasi-periodic motions in families of dynamical systems

order amidst chaos
  • 195 Pages
  • 3.53 MB
  • 482 Downloads
  • English
by
Springer , Berlin, New York
Hamiltonian systems, Flows (Differentiable dynamical systems), Perturbation (Mathematics), Torus (Geom
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. :
ID Numbers
Open LibraryOL1000759M
ISBN 103540620257
LC Control Number96039689

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. Hamiltonian systems are well known for their use in modelling the dynamics related.

Buy Quasi-Periodic Motions in Families of Dynamical Systems: Order amidst Chaos (Lecture Notes in Mathematics) on FREE SHIPPING on qualified orders Quasi-Periodic Motions in Families of Dynamical Systems: Order amidst Chaos (Lecture Notes in Mathematics): Hendrik W.

Broer, George B. Huitema, Mikhail B. Sevryuk: Amazon Cited by: 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 Quasi-periodic motions in families of dynamical systems book 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. 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.

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 InG.

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. Quasi-periodic solutions of the Lotka-Volterra competition systems with quasi-periodic perturbations.

Discrete & Continuous Dynamical Systems - B,17 (5): Cited by: Quasi-periodic motions in dynamical systems. Review of a renormalisation group approach Guido Gentile Dipartimento di Matematica, Universit`a di Roma Tre, Roma, I, Italy. E-mail: [email protected] Abstract Power series expansions naturally arise whenever solutions of ordinary differential equations are.

(Hamiltonian) dynamical systems that are nearly integrable. Integrable systems in their phase space contain lots of invariant tori and KAM Theory establishes per-sistence of such tori, which carry quasi-periodic present this theory which begins with Siegel’s and Kolmogorov’s pioneering work in the ’s and 50’s.

/ The continuation theory. QUASI-PERIODIC MOTIONS IN FAMILIES OF DYNAMICAL SYSTEMS. QUASI-PERIODIC MOTIONS IN FAMILIES OF DYNAMICAL SYSTEMS. BERLIN Springer, pp. (LECTURE NOTES IN MATHEMATICS).Author: HW Broer, GB Huitema, MB Sevryuk.

This theory concerns the occurrence of invariant tori in dynamical systems depending on parameters, that carry multi- or quasi-periodic motions. This both goes for the conservative setting — like in celestial mechanics — and for the dissipative setting where families of quasi-periodic tori may form the transitional interface between regular.

Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics (AM) - Ebook written by Jurgen Moser. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Stable and Random Motions in Dynamical Systems: Author: Jurgen Moser.

Quasi-Periodic Motions in Families of Dynamical Systems: OrderIssue Hendrik W. Broer, George B.

Description Quasi-periodic motions in families of dynamical systems EPUB

Huitema, Mikhail B. Sevryuk, M. Sevryuk Limited preview - Analysis of Time Series Structure: SSA and Related Techniques4/5(1).

() Unfoldings of quasi-periodic tori in reversible systems. Journal of Dynamics and Differential Equations() Normal forms of reversible dynamical by: Z-Library is one of the largest online libraries in the world that contains over 4, booksarticles.

We aim to make literature accessible to everyone. DANS is an institute of KNAW and NWO. Driven by data. Go to page top Go back to contents Go back to site navigationAuthor: HW Broer, GB Huitema, MB Sevryuk. Broer H W, Huitema G B and Sevryuk M B Quasi-Periodic Motions in Families of Dynamical Systems (Lecture Notes in Mathematics vol ) (Berlin: Springer) [20] Broer H W, Huitema G B and Takens F Unfoldings of quasi-periodic tori Mem.

Download Quasi-periodic motions in families of dynamical systems FB2

Math. Soc. 83 (no ) Symmetries in dynamical systems, "KAM theory and other perturbation theories", "Infinite dimensional systems", "Time series analysis" and "Numerical continuation and bifurcation analysis" were the main topics of the December Dynamical Systems Conference held in Groningen in honour of Johann.

() Unfoldings of quasi-periodic tori in reversible systems. Journal of Dynamics and Differential Equations() Resonances in the system of the interacted sources of vibration: Formulation of problem and general by: Quasi-Periodic Motions in Families of Dynamical Systems: Order amidst Chaos.

Springer. Hendrik W. Broer, George B. Huitema, Mikhail B. Sevryuk. Quasi-Periodic Motions in Families of Dynamical Systems: Order amidst Chaos. A search query can be a title of the book, a name of the author, ISBN or anything else. Dynamical Systems: Discontinuity, Stochasticity and Time-Delay - Ebook written by Albert C.

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Luo. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Dynamical Systems: Discontinuity, Stochasticity and Time-Delay. Abstract: Let the (rotational) motion of a rigid body, fixed at one point, be perturbed by a weak external force field.

A normal form approach yields an integrable approximation, and the 2-torus action induced by the unperturbed system allows to reduce to one degree of freedom. Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: refer to the dynamics of natural and artificial satellites, variable stars, asteroid dynamics, extra-solar planetary systems and dynamical systems.

He is the author of scientific papers published in high-level international journals and he has been involved in several Price: $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. This persistence problem is studied in the dissipative, the Hamiltonian and the reversible setting, as part of a more general kam theory for classes of Cited by: Periodic and quasi-periodic motions in the many-body problem Jacques F ejoz To cite this version: Jacques F ejoz.

Periodic and quasi-periodic motions in the many-body problem. Dynamical Systems []. Universit e Pierre et Marie Curie - Paris VI, HAL Id: tel Book III, Query 31].