Chaos & Classicism

Chaos & Classicism

Author: Kenneth E. Silver

Publisher:

Published: 2010

Total Pages: 0

ISBN-13: 9780892074051

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This catalogue examines the interwar period in its key artistic manifestations. It encompasses painting, photography, film, sculpture, architecture, fashion and decorative arts. The book examines classicism between the wars in Europe.


Chaos in Classical and Quantum Mechanics

Chaos in Classical and Quantum Mechanics

Author: Martin C. Gutzwiller

Publisher: Springer Science & Business Media

Published: 2013-11-27

Total Pages: 445

ISBN-13: 1461209838

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Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.


The Transition to Chaos

The Transition to Chaos

Author: Linda Reichl

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 566

ISBN-13: 1475743521

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resonances. Nonlinear resonances cause divergences in conventional perturbation expansions. This occurs because nonlinear resonances cause a topological change locally in the structure of the phase space and simple perturbation theory is not adequate to deal with such topological changes. In Sect. (2.3), we introduce the concept of integrability. A sys tem is integrable if it has as many global constants of the motion as degrees of freedom. The connection between global symmetries and global constants of motion was first proven for dynamical systems by Noether [Noether 1918]. We will give a simple derivation of Noether's theorem in Sect. (2.3). As we shall see in more detail in Chapter 5, are whole classes of systems which are now known to be inte there grable due to methods developed for soliton physics. In Sect. (2.3), we illustrate these methods for the simple three-body Toda lattice. It is usually impossible to tell if a system is integrable or not just by looking at the equations of motion. The Poincare surface of section provides a very useful numerical tool for testing for integrability and will be used throughout the remainder of this book. We will illustrate the use of the Poincare surface of section for classic model of Henon and Heiles [Henon and Heiles 1964].


Order, Chaos, Order

Order, Chaos, Order

Author: Philip Stehle

Publisher: Oxford University Press, USA

Published: 1994

Total Pages: 446

ISBN-13:

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Explores the confusion among physicists at the beginning of the 20th century when experimental findings kept not fitting into their mechanical view of the universe, the theoretical speculations and experimental innovations they responded with, and the new science that emerged. The mathematical details are set apart in boxes to allow nontechnical readers to engage the flow of the narrative uninterrupted. Paper edition (unseen), $29.95. Annotation copyright by Book News, Inc., Portland, OR


The Transition to Chaos

The Transition to Chaos

Author: Linda Reichl

Publisher: Springer Nature

Published: 2021-04-12

Total Pages: 555

ISBN-13: 3030635341

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Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.


Quantum Signatures of Chaos

Quantum Signatures of Chaos

Author: Fritz Haake

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 491

ISBN-13: 3662045060

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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.


Chaotic Dynamics

Chaotic Dynamics

Author: Tamás Tél

Publisher: Cambridge University Press

Published: 2006-08-24

Total Pages: 440

ISBN-13: 9780521547833

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A clear introduction to chaotic phenomena for undergraduate students in science, engineering, and mathematics.


Enabling Creative Chaos

Enabling Creative Chaos

Author: Katherine K. Chen

Publisher: University of Chicago Press

Published: 2009-09-15

Total Pages: 267

ISBN-13: 0226102394

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In the summer of 2008, nearly fifty thousand people traveled to Nevada’s Black Rock Desert to participate in the countercultural arts event Burning Man. Founded on a commitment to expression and community, the annual weeklong festival presents unique challenges to its organizers. Over four years Katherine K. Chen regularly participated in organizing efforts to safely and successfully create a temporary community in the middle of the desert under the hot August sun. Enabling Creative Chaos tracks how a small, underfunded group of organizers transformed into an unconventional corporation with a ten-million-dollar budget and two thousand volunteers. Over the years, Burning Man’s organizers have experimented with different management models; learned how to recruit, motivate, and retain volunteers; and developed strategies to handle regulatory agencies and respond to media coverage. This remarkable evolution, Chen reveals, offers important lessons for managers in any organization, particularly in uncertain times.


Chaotic Dynamics and Transport in Classical and Quantum Systems

Chaotic Dynamics and Transport in Classical and Quantum Systems

Author: Pierre Collet

Publisher: Springer Science & Business Media

Published: 2005-07-28

Total Pages: 456

ISBN-13: 1402029470

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From the 18th to the 30th August 2003 , a NATO Advanced Study Institute (ASI) was held in Cargèse, Corsica, France. Cargèse is a nice small village situated by the mediterranean sea and the Institut d'Etudes Scientifiques de Cargese provides ? a traditional place to organize Theoretical Physics Summer Schools and Workshops * in a closed and well equiped place. The ASI was an International Summer School on "Chaotic Dynamics and Transport in Classical and Quantum Systems". The main goal of the school was to develop the mutual interaction between Physics and Mathematics concerning statistical properties of classical and quantum dynamical systems. Various experimental and numerical observations have shown new phenomena of chaotic and anomalous transport, fractal structures, chaos in physics accelerators and in cooled atoms inside atom-optics billiards, space-time chaos, fluctuations far from equilibrium, quantum decoherence etc. New theoretical methods have been developed in order to modelize and to understand these phenomena (volume preserving and ergodic dynamical systems, non-equilibrium statistical dynamics, fractional kinetics, coupled maps, space-time entropy, quantum dissipative processes etc). The school gathered a team of specialists from several horizons lecturing and discussing on the achievements, perspectives and open problems (both fundamental and applied).


Chaos in Atomic Physics

Chaos in Atomic Physics

Author: R. Blümel

Publisher: Cambridge University Press

Published: 1997-07-24

Total Pages: 356

ISBN-13: 9780521455022

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This book provides a coherent introduction to the manifestations of chaos in atoms and molecules.