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Chaos Classicism
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Book Synopsis Chaos & Classicism by : Kenneth E. Silver
Download or read book Chaos & Classicism written by Kenneth E. Silver and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Chaos in Classical and Quantum Mechanics by : Martin C. Gutzwiller
Download or read book Chaos in Classical and Quantum Mechanics written by Martin C. Gutzwiller and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Order, Chaos, Order by : Philip Stehle
Download or read book Order, Chaos, Order written by Philip Stehle and published by Oxford University Press, USA. This book was released on 1994 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The Transition to Chaos by : Linda Reichl
Download or read book The Transition to Chaos written by Linda Reichl and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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].
Book Synopsis Classical Nonintegrability, Quantum Chaos by : Andreas Knauf
Download or read book Classical Nonintegrability, Quantum Chaos written by Andreas Knauf and published by Birkhäuser. This book was released on 2012-12-06 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our DMV Seminar on 'Classical Nonintegrability, Quantum Chaos' intended to introduce students and beginning researchers to the techniques applied in nonin tegrable classical and quantum dynamics. Several of these lectures are collected in this volume. The basic phenomenon of nonlinear dynamics is mixing in phase space, lead ing to a positive dynamical entropy and a loss of information about the initial state. The nonlinear motion in phase space gives rise to a linear action on phase space functions which in the case of iterated maps is given by a so-called transfer operator. Good mixing rates lead to a spectral gap for this operator. Similar to the use made of the Riemann zeta function in the investigation of the prime numbers, dynamical zeta functions are now being applied in nonlinear dynamics. In Chapter 2 V. Baladi first introduces dynamical zeta functions and transfer operators, illustrating and motivating these notions with a simple one-dimensional dynamical system. Then she presents a commented list of useful references, helping the newcomer to enter smoothly into this fast-developing field of research. Chapter 3 on irregular scattering and Chapter 4 on quantum chaos by A. Knauf deal with solutions of the Hamilton and the Schr6dinger equation. Scatter ing by a potential force tends to be irregular if three or more scattering centres are present, and a typical phenomenon is the occurrence of a Cantor set of bounded orbits. The presence of this set influences those scattering orbits which come close.
Book Synopsis Transition to Chaos in Classical and Quantum Mechanics by : Sandro Graffi
Download or read book Transition to Chaos in Classical and Quantum Mechanics written by Sandro Graffi and published by Springer. This book was released on 2006-11-15 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics. The lectures of Mather and Forni thoroughly cover the area- preserving twist maps, and include an up-to-date version of the Aubry-Mather theory. The lectures of Bellissard describe the quantum aspects: classical limit, localization, spectral properties of the relevant Schrödinger operators and thus represent an exhaus- tive introduction to the mathematics of "quantum chaos". The lectures of Degli Esposti et al. reviews equidistribu- tion of unstable periodic orbits and classical limit of quantized toral symplectomorphisms.
Book Synopsis The Transition to Chaos by : Linda Reichl
Download or read book The Transition to Chaos written by Linda Reichl and published by Springer Nature. This book was released on 2021-04-12 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Signatures of Chaos by : Fritz Haake
Download or read book Quantum Signatures of Chaos written by Fritz Haake and published by Springer. This book was released on 2019-02-18 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Chaos and Cosmos by : Heidi C. M. Scott
Download or read book Chaos and Cosmos written by Heidi C. M. Scott and published by Penn State Press. This book was released on 2015-01-14 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Chaos and Cosmos, Heidi Scott integrates literary readings with contemporary ecological methods to investigate two essential and contrasting paradigms of nature that scientific ecology continues to debate: chaos and balance. Ecological literature of the Romantic and Victorian eras uses environmental chaos and the figure of the balanced microcosm as tropes essential to understanding natural patterns, and these eras were the first to reflect upon the ecological degradations of the Industrial Revolution. Chaos and Cosmos contends that the seed of imagination that would enable a scientist to study a lake as a microcosmic world at the formal, empirical level was sown by Romantic and Victorian poets who consciously drew a sphere around their perceptions in order to make sense of spots of time and place amid the globalizing modern world. This study’s interest goes beyond likening literary tropes to scientific aesthetics; it aims to theorize the interdisciplinary history of the concepts that underlie our scientific understanding of modern nature. Paradigmatic ecological ideas such as ecosystems, succession dynamics, punctuated equilibrium, and climate change are shown to have a literary foundation that preceded their status as theories in science. This book represents an elevation of the prospects of ecocriticism toward fully developed interdisciplinary potentials of literary ecology.
Book Synopsis Order Out of Chaos by : Ilya Prigogine
Download or read book Order Out of Chaos written by Ilya Prigogine and published by Verso Books. This book was released on 2018-01-23 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering book that shows how the two great themes of classic science, order and chaos, are being reconciled in a new and unexpected synthesis Order Out of Chaos is a sweeping critique of the discordant landscape of modern scientific knowledge. In this landmark book, Nobel Laureate Ilya Prigogine and acclaimed philosopher Isabelle Stengers offer an exciting and accessible account of the philosophical implications of thermodynamics. Prigogine and Stengers bring contradictory philosophies of time and chance into a novel and ambitious synthesis. Since its first publication in France in 1978, this book has sparked debate among physicists, philosophers, literary critics and historians.
Book Synopsis Handbook of Applications of Chaos Theory by : Christos H. Skiadas
Download or read book Handbook of Applications of Chaos Theory written by Christos H. Skiadas and published by CRC Press. This book was released on 2017-12-19 with total page 1003 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.
Book Synopsis Quantum Chaos Y2K by : Karl-Fredrik Berggren
Download or read book Quantum Chaos Y2K written by Karl-Fredrik Berggren and published by World Scientific. This book was released on 2001 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum chaos is becoming a very wide field that ranges from experiments to theoretical physics and purely mathematical issues. In view of this grand span, Nobel Symposium 116 focused on experiments and theory, and attempted to encourage interplay between them. There was emphasis on the interdisciplinary character of the subject, involving a broad range of subjects in physics, including condensed matter physics, nuclear physics, atomic physics and elementary particle physics. The physics involved in quantum chaos has much in common with acoustics, microwaves, optics, etc., and therefore the symposium also covered aspects of wave chaos in this broader sense. The program was structured according to the following areas: manifestations of classical chaos in quantum systems; transport phenomena; quantal spectra in terms of periodic orbits; semiclassical and random matrix approaches; quantum chaos in interacting systems; chaos and tunneling; wave-dynamic chaos. This important book constitutes the proceedings of the symposium.
Book Synopsis Chaos in Atomic Physics by : R. Blümel
Download or read book Chaos in Atomic Physics written by R. Blümel and published by Cambridge University Press. This book was released on 1997-07-24 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a coherent introduction to the manifestations of chaos in atoms and molecules.
Book Synopsis The Idea of the Labyrinth from Classical Antiquity through the Middle Ages by : Penelope Reed Doob
Download or read book The Idea of the Labyrinth from Classical Antiquity through the Middle Ages written by Penelope Reed Doob and published by Cornell University Press. This book was released on 2019-03-15 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ancient and medieval labyrinths embody paradox, according to Penelope Reed Doob. Their structure allows a double perspective—the baffling, fragmented prospect confronting the maze-treader within, and the comprehensive vision available to those without. Mazes simultaneously assert order and chaos, artistry and confusion, articulated clarity and bewildering complexity, perfected pattern and hesitant process. In this handsomely illustrated book, Doob reconstructs from a variety of literary and visual sources the idea of the labyrinth from the classical period through the Middle Ages. Doob first examines several complementary traditions of the maze topos, showing how ancient historical and geographical writings generate metaphors in which the labyrinth signifies admirable complexity, while poetic texts tend to suggest that the labyrinth is a sign of moral duplicity. She then describes two common models of the labyrinth and explores their formal implications: the unicursal model, with no false turnings, found almost universally in the visual arts; and the multicursal model, with blind alleys and dead ends, characteristic of literary texts. This paradigmatic clash between the labyrinths of art and of literature becomes a key to the metaphorical potential of the maze, as Doob's examination of a vast array of materials from the classical period through the Middle Ages suggests. She concludes with linked readings of four "labyrinths of words": Virgil's Aeneid, Boethius' Consolation of Philosophy, Dante's Divine Comedy, and Chaucer's House of Fame, each of which plays with and transforms received ideas of the labyrinth as well as reflecting and responding to aspects of the texts that influenced it. Doob not only provides fresh theoretical and historical perspectives on the labyrinth tradition, but also portrays a complex medieval aesthetic that helps us to approach structurally elaborate early works. Readers in such fields as Classical literature, Medieval Studies, Renaissance Studies, comparative literature, literary theory, art history, and intellectual history will welcome this wide-ranging and illuminating book.
Book Synopsis The Classical Mythology of Milton's English Poems by : Charles Grosvenor Osgood
Download or read book The Classical Mythology of Milton's English Poems written by Charles Grosvenor Osgood and published by . This book was released on 1900 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chaos Theory written by Charilaos Skiadas and published by World Scientific. This book was released on 2011 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic sound composition using coupled cellular automata / Jaime Serquera and Eduardo R. Miranda -- Efficient large-scale forcing in finite-difference simulations of steady isotropic turbulence / Ryo Onishi, Yuya Baba and Keiko Takahashi -- Rendering statistical significance of information flow measures / Angeliki Papana and Dimitris Kugiumtzis. Complexity theory and physical unification : from microscopic to macroscopic level / G.P. Pavlos [und weitere] -- Regular variation, Paretian distributions, and the interplay of light and heavy tails in the fractality of asymptotic models / Dinis D. Pestana, Sandra M. Aleixo and J. Leonel Rocha -- Tools for investigation of dynamics of DC-DC converters within Matlab/Simulink / Dmitry Pikulin -- Chaos as compositional order / Eleri Angharad Pound -- Beta(p, q)-Cantor sets - determinism and randomness / J. Leonel Rocha, Sandra M. Aleixo and Dinis D. Pestana -- Predicting chaos with second method of Lyapunov / Vladimir B. Ryabov -- Analysis of homoclinic bifurcation in Duffing oscillator under two-frequency excitation : peculiarity of using Melnikov method in combination with averaging technique / Vladimir Ryabov and Kenta Fukushima -- Exploring life expectancy limits : first exit time modeling, parameter analysis and forecasts / Christos H. Skiadas and Charilaos Skiadas -- Composing chaotic music from the letter m / Anastasios D. Sotiropoulos -- On the timbre of chaotic algorithmic sounds / Dimitrios A. Sotiropoulos, Anastasios D. Sotiropoulos and Vaggelis D. Sotiropoulos -- The rainbow effect on composing chaotic algorithmic music / Vaggelis D. Sotiropoulos -- A highly chaotic attractor for a dual-channel single-attractor, private communication system / Banlue Srisuchinwong and Buncha Munmuangsaen -- Manifestation of chaos in collective models of nuclei / Pavel Stransky [und weitere] -- Importance of the chaos for computational processes of collective intelligence in social structures / Tadeusz (Ted) Szuba -- Complex signal generators based on capacitors and on piezoelectric loads / Horia-Nicolai L. Teodorescu and Victor P. Cojocaru -- Drift waves' synchronization by using an external signal. The stabilization of a chaotic plasma turbulence / C.L. Xaplanteris and E. Filippaki -- Chaos game technique as a tool for the analysis of natural geomorphological features / G. Zibret and T. Verbovsek -- Dynamics of a steel turning process / Grzegorz Litak and Rafal Rusinek
Download or read book Quantum Chaos written by G. Casati and published by Elsevier. This book was released on 2015-08-11 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of quantum systems which are chaotic in the classical limit (quantum chaos or quantum chaology) is a very new field of research. Not long ago, it was still considered as an esoteric subject, however this attitude changed radically when it was realized that this subject is relevant to many of the more mature branches of physics. This book presents the accumulated knowledge available up until now and at the same time introduces topics which are being intensively studied at present. Their relevance to other fields such as condensed matter, atomic and nuclear physics is also discussed. The lectures have been divided into two rough categories - background and advanced lectures.
