Integrability Of Nonlinear Systems
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Integrability Of Nonlinear Systems
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Author : Yvette Kosmann-Schwarzbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-02-17
Integrability Of Nonlinear Systems written by Yvette Kosmann-Schwarzbach 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 2004-02-17 with Science categories.
The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be complemented by a companion book dedicated to discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.
Integrability Of Nonlinear Systems
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Author : Yvette Kosmann-Schwarzbach
language : en
Publisher:
Release Date : 2014-01-15
Integrability Of Nonlinear Systems written by Yvette Kosmann-Schwarzbach 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.
Integrability And Nonintegrability Of Dynamical Systems
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Author : Alain Goriely
language : en
Publisher: World Scientific
Release Date : 2001
Integrability And Nonintegrability Of Dynamical Systems written by Alain Goriely and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. Starting from the idea of a constant of motion for simple systems of differential equations, it investigates the essence of integrability, its geometrical relevance and dynamical consequences. Integrability theory is approached from different perspectives, first in terms of differential algebra, then in terms of complex time singularities and finally from the viewpoint of phase geometry (for both Hamiltonian and non-Hamiltonian systems). As generic systems of differential equations cannot be exactly solved, the book reviews the different notions of nonintegrability and shows how to prove the nonexistence of exact solutions and/or a constant of motion. Finally, nonintegrability theory is linked to dynamical systems theory by showing how the property of complete integrability, partial integrability or nonintegrability can be related to regular and irregular dynamics in phase space. Contents: Integrability: An Algebraic Approach; Integrability: An Analytic Approach; Polynomial and Quasi-Polynomial Vector Fields; Nonintegrability; Hamiltonian Systems; Nearly Integrable Dynamical Systems; Open Problems. Readership: Mathematical and theoretical physicists and astronomers and engineers interested in dynamical systems.
Nonlinear Dynamics
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Author : Muthusamy Lakshmanan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Dynamics written by Muthusamy Lakshmanan 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 2012-12-06 with Mathematics categories.
This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.
Discrete Integrable Systems
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Author : Basil Grammaticos
language : en
Publisher:
Release Date : 2014-01-15
Discrete Integrable Systems written by Basil Grammaticos 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.
Chaos And Integrability In Nonlinear Dynamics
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Author : Michael Tabor
language : en
Publisher: Wiley-Interscience
Release Date : 1989-01-18
Chaos And Integrability In Nonlinear Dynamics written by Michael Tabor and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-18 with Mathematics categories.
Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses nonintegrable dynamics, the fundamental KAM theorem, integrable partial differential equations, and soliton dynamics.
Discrete Integrable Systems
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Author : Basil Grammaticos
language : en
Publisher: Springer
Release Date : 2004-06-22
Discrete Integrable Systems written by Basil Grammaticos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-22 with Science categories.
This volume consists of a set of ten lectures conceived as both introduction and up-to-date survey on discrete integrable systems. It constitutes a companion book to "Integrability of Nonlinear Systems" (Springer-Verlag, 2004, LNP 638, ISBN 3-540-20630-2). Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.
Symmetries And Singularity Structures
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Author : Muthuswamy Lakshmanan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Symmetries And Singularity Structures written by Muthuswamy Lakshmanan 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 2012-12-06 with Mathematics categories.
Proceedings of the Workshop, Bharathidasan University, Tiruchirapalli, India, November 29 - December 2, 1989
Discrete Systems And Integrability
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Author : J. Hietarinta
language : en
Publisher: Cambridge University Press
Release Date : 2016-09
Discrete Systems And Integrability written by J. Hietarinta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09 with Mathematics categories.
A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.
Nonlinear Systems
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Author : R. Sahadevan
language : en
Publisher: CRC Press
Release Date : 2002
Nonlinear Systems written by R. Sahadevan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Nonlinear Systems covers a wide range of topics in nonlinear science, from general nonlinear dynamics, soliton systems, and the solution of nonlinear differential and difference equations to the integrability of discrete nonlinear systems, and classical and quantum chaos. Its chapters reflect the current status of important nonlinear theories in various areas of applied mathematics and mathematical physics and collectively provide a comprehensive picture of new areas and their applications.