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Clinical Chaos

Clinical Chaos
Author: Linda Chamberlain
Publisher: Routledge
Total Pages: 242
Release: 2016-01-28
Genre: Psychology
ISBN: 1317714776

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First published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.


Dynamics with Chaos and Fractals

Dynamics with Chaos and Fractals
Author: Marat Akhmet
Publisher: Springer Nature
Total Pages: 226
Release: 2020-01-01
Genre: Mathematics
ISBN: 3030358542

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The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals as points of trajectories as well as orbits themselves. To provide strong arguments for the genericity of chaos in the real and abstract universe, the concept of abstract similarity is suggested.


The Creation of Chaos

The Creation of Chaos
Author: Frederick J. Ruf
Publisher: State University of New York Press
Total Pages: 216
Release: 1991-09-27
Genre: Religion
ISBN: 1438418264

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This is the first book-length study of William James' style, arguing that the manner in which James writes The Principles of Psychology and The Varieties of Religious Experience serves to construct a chaotic world for his readers. The book examines the uses of chaos in western literature and philosophy and reaches two conclusions: that chaos may be "utter confusion and disorder," but, paradoxically, that disorder is communicated through some particular order — in Joyce's term, all chaos is "chaosmos." Secondly, what is essential about chaos is what it does: nothing is inherently chaotic, rather chaos is used to contrast with or challenge something that is more structured or formed. Finally, the author presents an examination of the religious function of James' chaotic worldview as a disorientation which orients.


Robust Chaos and Its Applications

Robust Chaos and Its Applications
Author: Elhadj Zeraoulia
Publisher: World Scientific
Total Pages: 472
Release: 2011-10-17
Genre: Mathematics
ISBN: 9814458090

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Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably self-contained manner and aims to provide students and researchers with the necessary understanding of the subject. Most of the known results, experiments, and conjectures about chaos in general and about robust chaos in particular are collected here in a pedagogical form. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of exercises and open problems (more than 260 in the whole book) intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general, and chaos theory in particular. Contents: Poincaré Map Technique, Smale Horseshoe, and Symbolic DynamicsRobustness of ChaosStatistical Properties of Chaotic AttractorsStructural StabilityTransversality, Invariant Foliation, and the Shadowing LemmaChaotic Attractors with Hyperbolic StructureRobust Chaos in Hyperbolic SystemsLorenz-Type SystemsRobust Chaos in the Lorenz-Type SystemsNo Robust Chaos in Quasi-AttractorsRobust Chaos in One-Dimensional MapsRobust Chaos in 2-D Piecewise Smooth Maps Readership: Advanced undergraduate and graduate students, researchers, engineers and instructors interested in chaos and dynamical systems. Keywords:Poincaré;Map Technique;Smale Horseshoe;Symbolic Dynamics;Robustness of Chaos;Statistical Properties of Chaotic Attractors;Structural Stability Transversality;Invariant Foliation;Shadowing Lemma;Hyperbolic Structure;Lorenz-Type Systems;Quasi-Attractors;Robust Chaos in One Dimensional Maps;Robust Chaos in 2-D Piecewise Smooth Maps


Synergetics: Chaos, Order, Self-organization

Synergetics: Chaos, Order, Self-organization
Author: Michael Bushev
Publisher: World Scientific
Total Pages: 252
Release: 1994-04-22
Genre: Science
ISBN: 9814504548

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For centuries, humankind has believed that the world with all its form and structure was created by supernatural forces. In recent decades science has shaken these beliefs with the discovery of the exciting possibility of a self-created and self-creating world — of self-organization. Synergetics endeavours to reveal the intimate mechanisms of self-organization. The transitions from chaos to order, the nature of self-organization, the various approaches to it and certain philosophical inferences are outlined. Synergetics thus represents a remarkable confluence of many strands of thought, and has become a paradigm in modern culture. This book exposes the reader to striking new vistas in physics and mathematics, chemistry and biology, social sciences and philosophy — all interlocked around the concept of self-organization.


Control of Chaos in Nonlinear Circuits and Systems

Control of Chaos in Nonlinear Circuits and Systems
Author: Wing-Kuen Ling
Publisher: World Scientific
Total Pages: 281
Release: 2009
Genre: Technology & Engineering
ISBN: 9812790578

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In this book, leading researchers present their current work in the challenging area of chaos control in nonlinear circuits and systems, with emphasis on practical methodologies, system design techniques and applications. A combination of overview, tutorial and technical articles, the book describes state-of-the-art research on significant problems in this area. The scope and aim of this book are to bridge the gap between chaos control methods and circuits and systems. It is an ideal starting point for anyone who needs a fundamental understanding of controlling chaos in nonlinear circuits and systems.


Quantum Chaos Y2K

Quantum Chaos Y2K
Author: Karl-Fredrik Berggren
Publisher: World Scientific
Total Pages: 284
Release: 2001-10-09
Genre: Science
ISBN: 9814490431

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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. Contents: After-Dinner Speech (M C Gutzwiller)Spectral Twinkling: A New Example of Singularity-Dominated Strong Fluctuations (Summary) (M Berry)Ground State Spin and Coulomb Blockade Peak Motion in Chaotic Quantum Dots (J A Folk et al.)Quantum Chaos and Transport Phenomena in Quantum Dots (A S Sachrajda)Chaos in Quantum Ratchets (H Linke et al.)Non-Universality of Chaotic Classical Dynamics: Implications for Quantum Chaos (M Wilkinson)Chaos and Interactions in Quantum Dots (Y Alhassid)Stochastic Aspects of Many-Body Systems: The Embedded Gaussian Ensembles (H A Weidenmüller)Effect of Symmetry Breaking on Statistical Distributions (G E Mitchell & J F Shriner, Jr.)Quantum Chaos and Quantum Computers (D L Shepelyansky)Disorder and Quantum Chromodynamics — Non-Linear σ Models (T Guhr & T Wilke)Correlation Between Periodic Orbits and Their Rôle in Spectral Statistics (M Sieber & K Richter)Neutron Stars and Quantum Billiards (A Bulgac & P Magierski)Tunneling and Chaos (S Tomsovic)Relaxation and Fluctuations in Quantum Chaos (G Casati)Scars and Other Weak Localization Effects in Classically Chaotic Systems (E J Heller)Classically-Forbidden Processes in Photoabsorption Spectra (J B Delos et al.)Wave Dynamical Chaos: An Experimental Approach in Billiards (A Richter)Acoustic Chaos (C Ellegaard et al.)Wave-Chaotic Optical Resonators and Lasers (A D Stone)Angular Momentum Localization in Oval Billiards (J U Nöckel)Chaos and Time-Reversed Acoustics (M Fink)and other papers Readership: Quantum, nuclear, atomic, condensed matter and high energy physicists, as well as researchers in classical wave physics. Keywords:


The Rise of Chaos

The Rise of Chaos
Author: AnnMarie Stone
Publisher: AnnMarie Stone
Total Pages: 382
Release: 2014-03-07
Genre: Fiction
ISBN: 1499300476

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All Anastasia has ever wanted was to start a new life, a normal life, a life without her parents. As soon as Anastasia gets that chance however, she discovers quickly that a normal life was never a possibility for someone like her. Anastasia has always known that she was different, but she has never understood why. Two mysterious strangers, identical twins, offer answers that she desperately seeks, but can she trust what they tell her? One is evil and a creature of Chaos, the other is Light and a being filled with a pure soul. Unfortunately for Anastasia, it’s no longer clear which is which. Chaos had already separated Anastasia from her soul mate, weakening her own purity. With her defenses down, she is a perfect target for Chaos to seep in and take control. Chaos has already corrupted her father, could she be next? Or will her determination to save her true love from the same fate be enough to protect her from corruption? When Chaos threatens to extinguish Light once and for all, Anastasia will have to decide which side to fight on. The unique abilities that have always made Anastasia different from everyone else are the very same abilities that may save or condemn her.


Fractals and Chaos

Fractals and Chaos
Author: Benoit Mandelbrot
Publisher: Springer Science & Business Media
Total Pages: 326
Release: 2004-01-09
Genre: Mathematics
ISBN: 9780387201580

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Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.


Nonlinear Dynamics, Chaos, and Complexity

Nonlinear Dynamics, Chaos, and Complexity
Author: Dimitri Volchenkov
Publisher: Springer Nature
Total Pages: 198
Release: 2020-12-14
Genre: Mathematics
ISBN: 9811590346

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This book demonstrates how mathematical methods and techniques can be used in synergy and create a new way of looking at complex systems. It becomes clear nowadays that the standard (graph-based) network approach, in which observable events and transportation hubs are represented by nodes and relations between them are represented by edges, fails to describe the important properties of complex systems, capture the dependence between their scales, and anticipate their future developments. Therefore, authors in this book discuss the new generalized theories capable to describe a complex nexus of dependences in multi-level complex systems and to effectively engineer their important functions. The collection of works devoted to the memory of Professor Valentin Afraimovich introduces new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in physics, machine learning, brain and urban dynamics. The book can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, urban planners, and even musicians (with some mathematical background).