Structure of Dynamical Systems

Structure of Dynamical Systems

Author: J.M. Souriau

Publisher: Birkhäuser

Published: 1997-09-23

Total Pages: 406

ISBN-13: 9780817636951

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The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.


Book Synopsis Structure of Dynamical Systems by : J.M. Souriau

Download or read book Structure of Dynamical Systems written by J.M. Souriau and published by Birkhäuser. This book was released on 1997-09-23 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.

Structure of Dynamical Systems

Structure of Dynamical Systems

Author: J.M. Souriau

Publisher: Springer Science & Business Media

Published: 1997-09-23

Total Pages: 450

ISBN-13: 9780817636951

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The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.


Book Synopsis Structure of Dynamical Systems by : J.M. Souriau

Download or read book Structure of Dynamical Systems written by J.M. Souriau and published by Springer Science & Business Media. This book was released on 1997-09-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.

Structure of Dynamical Systems

Structure of Dynamical Systems

Author: J.M. Souriau

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 427

ISBN-13: 1461202817

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The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.


Book Synopsis Structure of Dynamical Systems by : J.M. Souriau

Download or read book Structure of Dynamical Systems written by J.M. Souriau and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.

Lectures on Dynamical Systems, Structural Stability, and Their Applications

Lectures on Dynamical Systems, Structural Stability, and Their Applications

Author: Kotik K. Lee

Publisher: World Scientific

Published: 1992

Total Pages: 476

ISBN-13: 9789971509651

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The communication of knowledge on nonlinear dynamical systems, between the mathematicians working on the analytic approach and the scientists working mostly on the applications and numerical simulations has been less than ideal. This volume hopes to bridge the gap between books written on the subject by mathematicians and those written by scientists. The second objective of this volume is to draw attention to the need for cross-fertilization of knowledge between the physical and biological scientists. The third aim is to provide the reader with a personal guide on the study of global nonlinear dynamical systems.


Book Synopsis Lectures on Dynamical Systems, Structural Stability, and Their Applications by : Kotik K. Lee

Download or read book Lectures on Dynamical Systems, Structural Stability, and Their Applications written by Kotik K. Lee and published by World Scientific. This book was released on 1992 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The communication of knowledge on nonlinear dynamical systems, between the mathematicians working on the analytic approach and the scientists working mostly on the applications and numerical simulations has been less than ideal. This volume hopes to bridge the gap between books written on the subject by mathematicians and those written by scientists. The second objective of this volume is to draw attention to the need for cross-fertilization of knowledge between the physical and biological scientists. The third aim is to provide the reader with a personal guide on the study of global nonlinear dynamical systems.

Structure, Coherence and Chaos in Dynamical Systems

Structure, Coherence and Chaos in Dynamical Systems

Author: Peter L. Christiansen

Publisher: Manchester University Press

Published: 1989

Total Pages: 702

ISBN-13: 9780719026102

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Book Synopsis Structure, Coherence and Chaos in Dynamical Systems by : Peter L. Christiansen

Download or read book Structure, Coherence and Chaos in Dynamical Systems written by Peter L. Christiansen and published by Manchester University Press. This book was released on 1989 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regularity and Complexity in Dynamical Systems

Regularity and Complexity in Dynamical Systems

Author: Albert C. J. Luo

Publisher: Springer Science & Business Media

Published: 2013-07-12

Total Pages: 500

ISBN-13: 1461415233

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Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive, discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years, there has been an increasing amount of interest in periodic and chaotic behaviors in discontinuous dynamical systems because such dynamical systems are prevalent in engineering. Usually, the smoothening of discontinuous dynamical system is adopted in order to use the theory of continuous dynamical systems. However, such technique cannot provide suitable results in such discontinuous systems. In this book, an alternative way is presented to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.


Book Synopsis Regularity and Complexity in Dynamical Systems by : Albert C. J. Luo

Download or read book Regularity and Complexity in Dynamical Systems written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2013-07-12 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive, discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years, there has been an increasing amount of interest in periodic and chaotic behaviors in discontinuous dynamical systems because such dynamical systems are prevalent in engineering. Usually, the smoothening of discontinuous dynamical system is adopted in order to use the theory of continuous dynamical systems. However, such technique cannot provide suitable results in such discontinuous systems. In this book, an alternative way is presented to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.

Dynamical Systems VII

Dynamical Systems VII

Author: V.I. Arnol'd

Publisher: Springer Science & Business Media

Published: 2013-12-14

Total Pages: 346

ISBN-13: 366206796X

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A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of differential geometry, the book covers all the new differential geometric and Lie-algebraic methods currently used in the theory of integrable systems.


Book Synopsis Dynamical Systems VII by : V.I. Arnol'd

Download or read book Dynamical Systems VII written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of differential geometry, the book covers all the new differential geometric and Lie-algebraic methods currently used in the theory of integrable systems.

Modern Dynamical Systems and Applications

Modern Dynamical Systems and Applications

Author: Michael Brin

Publisher: Cambridge University Press

Published: 2004-08-16

Total Pages: 490

ISBN-13: 9780521840736

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This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.


Book Synopsis Modern Dynamical Systems and Applications by : Michael Brin

Download or read book Modern Dynamical Systems and Applications written by Michael Brin and published by Cambridge University Press. This book was released on 2004-08-16 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.

Structures in Dynamics

Structures in Dynamics

Author: H.W. Broer

Publisher: Elsevier

Published: 1991-11-05

Total Pages: 323

ISBN-13: 0444596259

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The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account. Presenting the contents of its authors' graduate courses in non-linear dynamical systems, this volume aims at researchers who wish to be acquainted with the more theoretical and fundamental subjects in non-linear dynamics and is designed to link the popular literature with research papers and monographs. All of the subjects covered in this book are extensively dealt with and presented in a pedagogic form. These include the presentation of an environment for the route to chaos by quasi-periodicity (which is related to the Landau-Lifschitz and Ruelle-Takens scenario's concerning the onset of turbulence); the theories of 1-dimensional dynamics, singularities in planar vector fields, and quasi-periodicity in dissipative systems.


Book Synopsis Structures in Dynamics by : H.W. Broer

Download or read book Structures in Dynamics written by H.W. Broer and published by Elsevier. This book was released on 1991-11-05 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account. Presenting the contents of its authors' graduate courses in non-linear dynamical systems, this volume aims at researchers who wish to be acquainted with the more theoretical and fundamental subjects in non-linear dynamics and is designed to link the popular literature with research papers and monographs. All of the subjects covered in this book are extensively dealt with and presented in a pedagogic form. These include the presentation of an environment for the route to chaos by quasi-periodicity (which is related to the Landau-Lifschitz and Ruelle-Takens scenario's concerning the onset of turbulence); the theories of 1-dimensional dynamics, singularities in planar vector fields, and quasi-periodicity in dissipative systems.

An Introduction to Dynamical Systems and Chaos

An Introduction to Dynamical Systems and Chaos

Author: G. C. Layek

Publisher: Springer Nature

Published:

Total Pages: 701

ISBN-13: 9819976952

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Book Synopsis An Introduction to Dynamical Systems and Chaos by : G. C. Layek

Download or read book An Introduction to Dynamical Systems and Chaos written by G. C. Layek and published by Springer Nature. This book was released on with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: