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Nonlinear Dynamics and Quantum Chaos

Nonlinear Dynamics and Quantum Chaos
Author: Sandro Wimberger
Publisher: Springer
Total Pages: 215
Release: 2014-05-13
Genre: Science
ISBN: 331906343X

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The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.


Nonlinear Dynamics and Quantum Chaos

Nonlinear Dynamics and Quantum Chaos
Author: Sandro Wimberger
Publisher: Springer Nature
Total Pages: 270
Release: 2023-01-01
Genre: Science
ISBN: 3031012496

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This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. This second edition includes additional material and in particular a new chapter on dissipative nonlinear systems. The book provides a thorough and modern introduction to the concepts of dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It is based on lectures on classical and quantum chaos held by the author at Heidelberg and Parma University. The book contains exercises and worked examples, which make it ideal for an introductory course for students as well as for researchers starting to work in the field.


Quantum Chaos

Quantum Chaos
Author: Katsuhiro Nakamura
Publisher: CUP Archive
Total Pages: 228
Release: 1994-06-02
Genre: Mathematics
ISBN: 9780521467469

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Past studies on chaos have been concerned with classical systems but this book is one of the first to deal with quantum chaos.


Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos
Author: Steven H. Strogatz
Publisher: CRC Press
Total Pages: 532
Release: 2018-05-04
Genre: Mathematics
ISBN: 0429961111

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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.


Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos
Author: J. M. T. Thompson
Publisher: John Wiley & Sons
Total Pages: 492
Release: 2002-02-15
Genre: Science
ISBN: 9780471876847

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Ein angesehener Bestseller - jetzt in der 2.aktualisierten Auflage! In diesem Buch finden Sie die aktuellsten Forschungsergebnisse auf dem Gebiet nichtlinearer Dynamik und Chaos, einem der am schnellsten wachsenden Teilgebiete der Mathematik. Die seit der ersten Auflage hinzugekommenen Erkenntnisse sind in einem zusätzlichen Kapitel übersichtlich zusammengefasst.


Chaos and Integrability in Nonlinear Dynamics

Chaos and Integrability in Nonlinear Dynamics
Author: Michael Tabor
Publisher: Wiley-Interscience
Total Pages: 392
Release: 1989-01-18
Genre: Mathematics
ISBN:

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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.


The Physics of Phase Space

The Physics of Phase Space
Author: Young S. Kim
Publisher: Springer
Total Pages: 457
Release: 2005-09-13
Genre: Science
ISBN: 3540479015

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The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics. This is particularly the case in areas such as nonlinear dynamics and chaos, geometric quantization and the study of the various semi-classical theories, which are the setting of the present volume. Much of the content is devoted to the study of the Wigner distribution. This volume gives the first complete survey of the progress made by both mathematicians and physicists. It will serve as an excellent reference for further research.


Chaos and Nonlinear Dynamics

Chaos and Nonlinear Dynamics
Author: Robert C. Hilborn
Publisher:
Total Pages: 676
Release: 2000
Genre: Mathematics
ISBN: 9780198507239

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This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a survey of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab.


Nonlinear Dynamics, Chaos, and Instability

Nonlinear Dynamics, Chaos, and Instability
Author: William A. Brock
Publisher: MIT Press
Total Pages: 362
Release: 1991
Genre: Business & Economics
ISBN: 9780262023290

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Brock, Hsieh, and LeBaron show how the principles of chaos theory can be applied to such areas of economics and finance as the changing structure of stock returns and nonlinearity in foreign exchange.


Quantum Signatures of Chaos

Quantum Signatures of Chaos
Author: Fritz Haake
Publisher: Springer
Total Pages: 659
Release: 2019-02-18
Genre: Science
ISBN: 3319975803

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This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.