Download or read book Models and Applications of Chaos Theory in Modern Sciences written by Elhadj Zeraoulia and published by CRC Press. This book was released on 2011-09-07 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a select group of papers that provide a comprehensive view of the models and applications of chaos theory in medicine, biology, ecology, economy, electronics, mechanical, and the human sciences. Covering both the experimental and theoretical aspects of the subject, it examines a range of current topics of interest. It consid

Download or read book Chaos Theory in the Social Sciences written by L. Douglas Kiel and published by University of Michigan Press. This book was released on 2009-11-10 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos Theory in the Social Sciences: Foundations and Applications offers the most recent thinking in applying the chaos paradigm to the social sciences. The book explores the methodological techniques--and their difficulties--for determining whether chaotic processes may in fact exist in a particular instance and examines implications of chaos theory when applied specifically to political science, economics, and sociology. The contributors to the book show that no single technique can be used to diagnose and describe all chaotic processes and identify the strengths and limitations of a variety of approaches. The essays in this volume consider the application of chaos theory to such diverse phenomena as public opinion, the behavior of states in the international arena, the development of rational economic expectations, and long waves. Contributors include Brian J. L. Berry, Thad Brown, Kenyon B. DeGreene, Dimitrios Dendrinos, Euel Elliott, David Harvey, L. Ted Jaditz, Douglas Kiel, Heja Kim, Michael McBurnett, Michael Reed, Diana Richards, J. Barkley Rosser, Jr., and Alvin M. Saperstein. L. Douglas Kiel and Euel W. Elliott are both Associate Professors of Government, Politics, and Political Economy, University of Texas at Dallas.

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 934 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.

Download or read book Chaos Theory Modern Application written by Djabeur Mohamed Seifeddine Zekrifa and published by . This book was released on 2022-11-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We are pleased to present the book on chaos theory. Nearly every branch of science is now covered by chaos theory and related concepts. Chaos employs key components of nonlinear dynamical systems theory coupled with the well-established chaotic theory to open new horizons and disciplines of study, going beyond understanding and modeling undiscovered phenomena in nature and society. For scientists, engineers, and practitioners in the realms of science, technology, and society where chaos theory is applied to simulate undiscovered scenarios and give rise to new applications, this book is an invaluable resource. The need for a manual that covers the key concepts of chaos theory in many domains,

Download or read book A Collection of Papers on Chaos Theory and Its Applications written by Paul Bracken and published by BoD – Books on Demand. This book was released on 2021-04-14 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This current volume contains 12 new papers on the subject of chaos in the physical sciences, which was initiated with the publication of the book Research Advances in Chaos Theory. It is clear the subject continues to attract a great deal of attention among scientists in the scientific community. This volume looks at such problems as chaos in nonlinear systems, in dynamical systems, quantum chaos, biological applications, and a few new emerging areas as well.

Download or read book Chaos Theory Modeling Simulation And Applications Selected Papers From The 3rd Chaotic Modeling And Simulation International Conference Chaos2010 written by Christos H Skiadas and published by World Scientific. This book was released on 2011-05-31 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work done in chaotic modeling and simulation during the last decades has changed our views of the world around us and has introduced new scientific tools, methods and techniques. Advanced topics of these achievements are included in this volume on Chaos Theory which focuses on Chaotic Modeling, Simulation and Applications of the nonlinear phenomena. This volume includes the best papers presented in the 3rd International Conference on CHAOS. This interdisciplinary conference attracted people from many scientific fields dealing with chaos, nonlinear dynamics, fractals and the works presented and the papers included here are of particular interest that could provide a broad understanding of chaos in its various forms.The chapters relate to many fields of chaos including Dynamical and Nonlinear Systems, Attractors and Fractals, Hydro-Fluid Dynamics and Mechanics, Chaos in Meteorology and Cosmology, Chaos in Biology and Genetics, Chaotic Control, Chaos in Economy and Markets, and Computer Composition and Chaotic Simulations, including related applications.

Download or read book Chaos Complexity and Sociology written by Raymond A. Eve and published by SAGE. This book was released on 1997-06-12 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a collection of articles which examine the emerging myths and theories surrounding the study of chaos and complexity. Useful to sociologists and others interested in chaos and complexity theory, this title focuses on methodological matters, and also presents conceptual models and applications.

Download or read book Chaos Theory written by Anthony Reed and published by Nova Publishers. This book was released on 2016 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides new research on Chaos Theory. Chapter One begins with a discussion on the applications of Chaos Theory to financial statements. Chapter Two describes how the Chaos Theory of Careers developed out of discontent with previous career development theories and how fundamental concepts such as non-linearity, emergence, systems thinking, attraction, unplanned change, could be applied to work and career development to produce new insights for theory, research, assessment and counseling in the field. Chapter Three examines the application of Chaos Theory to ventricular wall biomechanics. Chapter Four numerically investigates a model of a diffusively coupled ring of cells. Chapter Five reveals the escape properties of orbits in a dynamical system of a two-dimensional perturbed harmonic oscillator, which is a characteristic example of open Hamiltonian systems.

Download or read book Applications of Chaos and Nonlinear Dynamics in Science and Engineering Vol 4 written by Santo Banerjee and published by Springer. This book was released on 2016-10-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. his fourth volume concentrates on reviewing further relevant contemporary applications of chaotic and nonlinear dynamics as they apply to the various cuttingedge branches of science and engineering. This encompasses, but is not limited to, topics such as synchronization in complex networks and chaotic circuits, time series analysis, ecological and biological patterns, stochastic control theory and vibrations in mechanical systems. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.

Download or read book Chaos written by Angelo Vulpiani and published by World Scientific. This book was released on 2010 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.

Download or read book The Foundations of Chaos Revisited From Poincar to Recent Advancements written by Christos Skiadas and published by Springer. This book was released on 2016-04-29 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions from a number of pioneering researchers in the field, this collection is aimed not only at researchers and scientists in nonlinear dynamics but also at a broader audience interested in understanding and exploring how modern chaos theory has developed since the days of Poincaré. This book was motivated by and is an outcome of the CHAOS 2015 meeting held at the Henri Poincaré Institute in Paris, which provided a perfect opportunity to gain inspiration and discuss new perspectives on the history, development and modern aspects of chaos theory. Henri Poincaré is remembered as a great mind in mathematics, physics and astronomy. His works, well beyond their rigorous mathematical and analytical style, are known for their deep insights into science and research in general, and the philosophy of science in particular. The Poincaré conjecture (only proved in 2006) along with his work on the three-body problem are considered to be the foundation of modern chaos theory.

Download or read book The Essence Of Chaos written by Flavio Lorenzelli and published by CRC Press. This book was released on 2003-09-02 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field. Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals. As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time.

Download or read book Chaos and Catastrophe Theories written by Courtney Brown and published by SAGE Publications. This book was released on 1995-06-28 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is chaos? How can it be measured? How are the models estimated? What is catastrophe? How is it modelled? How are the models estimated? These questions are the focus of this volume. Beginning with an explanation of the differences between deterministic and probabilistic models, Brown then introduces the reader to chaotic dynamics. Other topics covered are finding settings in which chaos can be measured, estimating chaos using nonlinear least squares and specifying catastrophe models. Finally a nonlinear system of equations that models catastrophe using real survey data is estimated.

Download or read book Turbulent Mirror written by John Briggs and published by HarperCollins Publishers. This book was released on 1989 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the many faces of chaos and reveals how its laws direct most of the familiar processes of everyday life.

Download or read book Dynamical Systems written by Zeraoulia Elhadj and published by CRC Press. This book was released on 2019-01-21 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical reactions, biological systems, crisis management, secure information processing, and critical decision-making in politics, economics, as well as military applications, etc. This book presents the latest investigations in the theory of chaotic systems and their dynamics. The book covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems.

Download or read book Indra s Net written by Robin Robertson and published by Quest Books. This book was released on 2014-05-27 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this clear, engaging book, Robin Robertson draws parallels between alchemy and chaos theory and shows how to apply them to our inner development. He is not proposing they replace traditional spiritual paths, but rather that they reflect deep structures in the psyche that any inner journey awakens. The model they provide necessarily underlies all paths of spiritual transformation and describes a framework for the stages through which any seeker goes. No matter what your particular calling, these insights enrich understanding of the transformative process, whether outside in the world, or within your life.

Download or read book Chaos Theory Tamed written by Garnett Williams and published by CRC Press. This book was released on 1997-09-09 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.