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Regular And Chaotic Motions In Dynamic Systems


Regular And Chaotic Motions In Dynamic Systems
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Regular And Chaotic Motions In Dynamic Systems


Regular And Chaotic Motions In Dynamic Systems
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Author : A. S. Wightman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Regular And Chaotic Motions In Dynamic Systems written by A. S. Wightman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.


The fifth International School ~ Mathematical Physics was held at the Ettore Majorana Centro della Culture Scientifica, Erice, Sicily, 2 to 14 July 1983. The present volume collects lecture notes on the session which was devoted to'Regular and Chaotic Motions in Dynamlcal Systems. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Ministry of Scientific and Technological Research and the Regional Sicilian Government. Many of the fundamental problems of this subject go back to Poincare and have been recognized in recent years as being of basic importance in a variety of physical contexts: stability of orbits in accelerators, and in plasma and galactic dynamics, occurrence of chaotic motions in the excitations of solids, etc. This period of intense interest on the part of physicists followed nearly a half a century of neglect in which research in the subject was almost entirely carried out by mathematicians. It is an in dication of the difficulty of some of the problems involved that even after a century we do not have anything like a satisfactory solution.



Regular And Chaotic Motions In Dynamic Systems


Regular And Chaotic Motions In Dynamic Systems
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Author : A. S. Wightman
language : en
Publisher:
Release Date : 2014-01-15

Regular And Chaotic Motions In Dynamic Systems written by A. S. Wightman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Chaotic Motions In Nonlinear Dynamical Systems


Chaotic Motions In Nonlinear Dynamical Systems
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Author : Wanda Szemplinska-Stupnicka
language : en
Publisher: Springer
Release Date : 2014-05-04

Chaotic Motions In Nonlinear Dynamical Systems written by Wanda Szemplinska-Stupnicka and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.


Discoveries of chaotic, unpredictable behaviour in physical deterministic systems has brought about new analytic and experimental techniques in dynamics. The modern study of the new phenomena requires the analyst to become familiar with experiments (at least with numerical ones), since chaotic solutions cannot be written down, and it requires the experimenter to master the new concepts of the theory of nonlinear dynamical systems. This book is unique in that it presents both viewpoints: the viewpoint of the analyst and of the experimenter. In the first part F. Moon outlines the new experimental techniques which have emerged from the study of chaotic vibrations. These include Poincaré sections, fractial dimensions and Lapunov exponents. In the text by W. Szemplinska-Stupnicka the relation between the new chaotic phenomena and classical perturbation techniques is explored for the first time. In the third part G. Iooss presents methods of analysis for the calculations of bifurcations in nonlinear systems based on modern geometric mathematical concepts.



A Study Of Regular And Chaotic Motions Of Dynamical Systems In Low Dimension


A Study Of Regular And Chaotic Motions Of Dynamical Systems In Low Dimension
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Author : Wien Hong
language : en
Publisher:
Release Date : 1997

A Study Of Regular And Chaotic Motions Of Dynamical Systems In Low Dimension written by Wien Hong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.




Global Transversality Resonance And Chaotic Dynamics


Global Transversality Resonance And Chaotic Dynamics
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Author : Albert C J Luo
language : en
Publisher: World Scientific
Release Date : 2008-01-25

Global Transversality Resonance And Chaotic Dynamics written by Albert C J Luo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-25 with Mathematics categories.


This unique book presents a different point of view on the fundamental theory of global transversality, resonance and chaotic dynamics in n-dimensional nonlinear dynamic systems. The methodology and techniques presented in this book are applicable to nonlinear dynamical systems in general. This book provides useful tools for analytical and numerical predictions of chaos in nonlinear Hamiltonian and dissipative systems. All theoretical results are strictly proved. However, the ideas presented in this book are less formal and rigorous in an informal and lively manner. The author hopes the initial ideas may give some inspirations in the field of nonlinear dynamics. With physical concepts, the author also used the simple, mathematical language to write this book. Therefore, this book is very readable, which can be either a textbook for senior undergraduate and graduate students or a reference book for researches in nonlinear dynamics.



Advances In Dynamical Systems Theory Models Algorithms And Applications


Advances In Dynamical Systems Theory Models Algorithms And Applications
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Author : Bruno Carpentieri
language : en
Publisher: BoD – Books on Demand
Release Date : 2021-07-28

Advances In Dynamical Systems Theory Models Algorithms And Applications written by Bruno Carpentieri and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-28 with Mathematics categories.


The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the field was revived by the emergence of the theory of chaotic attractors, and in modern years by accurate computer simulations. This book provides an overview of recent developments in the theory of dynamical systems, presenting some significant advances in the definition of new models, computer algorithms, and applications. Researchers, engineers and graduate students in both pure and applied mathematics will benefit from the chapters collected in this volume.



The Complexity Of Dynamical Systems


The Complexity Of Dynamical Systems
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Author : Johan Dubbeldam
language : en
Publisher: John Wiley & Sons
Release Date : 2011-02-21

The Complexity Of Dynamical Systems written by Johan Dubbeldam and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-21 with Science categories.


Written by recognized experts, this edited book covers recent theoretical, experimental and applied issues in the growing fi eld of Complex Systems and Nonlinear Dynamics. It is divided into two parts, with the first section application based, incorporating the theory of bifurcation analysis, numerical computations of instabilities in dynamical systems and discussing experimental developments. The second part covers the broad category of statistical mechanics and dynamical systems. Several novel exciting theoretical and mathematical insights and their consequences are conveyed to the reader.



Nonlinear Ordinary Differential Equations


Nonlinear Ordinary Differential Equations
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Author : Dominic William Jordan
language : en
Publisher: Oxford University Press, USA
Release Date : 1999

Nonlinear Ordinary Differential Equations written by Dominic William Jordan and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


This edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos.



Handbook Of Industrial Mixing


Handbook Of Industrial Mixing
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Author : Edward L. Paul
language : en
Publisher: John Wiley & Sons
Release Date : 2004-02-17

Handbook Of Industrial Mixing written by Edward L. Paul and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-17 with Reference categories.


Handbook of Industrial Mixing will explain the difference and uses of a variety of mixers including gear mixers, top entry mixers, side entry mixers, bottom entry mixers, on-line mixers, and submerged mixers The Handbook discusses the trade-offs among various mixers, concentrating on which might be considered for a particular process. Handbook of Industrial Mixing explains industrial mixers in a clear concise manner, and also: * Contains a CD-ROM with video clips showing different type of mixers in action and a overview of their uses. * Gives practical insights by the top professional in the field. * Details applications in key industries. * Provides the professional with information he did receive in school



Modeling And Computations In Dynamical Systems In Commemoration Of The 100th Anniversary Of The Birth Of John Von Neumann


Modeling And Computations In Dynamical Systems In Commemoration Of The 100th Anniversary Of The Birth Of John Von Neumann
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Author : Eusebius Doedel
language : en
Publisher: World Scientific
Release Date : 2006-03-10

Modeling And Computations In Dynamical Systems In Commemoration Of The 100th Anniversary Of The Birth Of John Von Neumann written by Eusebius Doedel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-10 with Science categories.


The Hungarian born mathematical genius, John von Neumann, was undoubtedly one of the greatest and most influential scientific minds of the 20th century. Von Neumann made fundamental contributions to Computing and he had a keen interest in Dynamical Systems, specifically Hydrodynamic Turbulence. This book, offering a state-of-the-art collection of papers in computational dynamical systems, is dedicated to the memory of von Neumann. Including contributions from J E Marsden, P J Holmes, M Shub, A Iserles, M Dellnitz and J Guckenheimer, this book offers a unique combination of theoretical and applied research in areas such as geometric integration, neural networks, linear programming, dynamical astronomy, chemical reaction models, structural and fluid mechanics.The contents of this book was also published as a special issue of the International Journal of Bifurcation and Chaos — March 2005.