Exploring Chaos

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Exploring Chaos

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Author : Nina Hall
language : en
Publisher: W. W. Norton & Company
Release Date : 1994

Exploring Chaos written by Nina Hall and has been published by W. W. Norton & Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

Chaos theory is giving scientists fresh insights into all sorts of unruly phenomena-from dripping faucets to swinging pendulums, from the vagaries of the weather to the movements of the planets, from heart rhythms to gold futures. In this collection of front-line reports, edited for the general reader, internationally recognized experts such as Ian Stewart, Robert M. May, and Benoit Mandelbrot draw on the latest research to trace the roots of chaos in modern science and mathematics.

Exploring Chaos

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Author : Brian Davies
language : en
Publisher: CRC Press
Release Date : 2018-05-04

Exploring Chaos written by Brian Davies and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.

This book presents elements of the theory of chaos in dynamical systems in a framework of theoretical understanding coupled with numerical and graphical experimentation. It describes the theory of fractals, focusing on the importance of scaling and ordinary differential equations.

Exploring Chaos

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Author : Brian Davies
language : en
Publisher: CRC Press
Release Date : 2018-05-04

The Foundations Of Chaos Revisited From Poincar To Recent Advancements

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Author : Christos Skiadas
language : en
Publisher: Springer
Release Date : 2016-04-29

The Foundations Of Chaos Revisited From Poincar To Recent Advancements written by Christos Skiadas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-29 with Science categories.

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.

Chaos Complexity And Leadership 2020

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Author : Şefika Şule Erçetin
language : en
Publisher: Springer Nature
Release Date : 2021-07-30

Chaos Complexity And Leadership 2020 written by Şefika Şule Erçetin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-30 with Science categories.

This book analyzes a range of new developments in various fields concerning the concepts of chaos and complexity theory. The proceedings of the 7th International Symposium on Chaos, Complexity and Leadership feature newly developed concepts involving various research methodologies for identifying chaos and complexity in different fields of the sciences and leadership. In addition, it explores chaotic and complex systems from all fields of knowledge in order to stake a claim of prevalence of compatibility between knowledge fields. Particular emphasis is placed on exploring non-linearity in order to open a discussion on new approaches to and perspectives on chaos, complexity and leadership. Readers will find coverage of important events that have recently taken place in our world, regardless of whether they were social, political, economic or scientific in nature. The book explores diverse aspects of and issues related to the effects of chaos and complexity in the world; discusses the application of nonlinear dynamics in order to arrive at transformational policies; and offers projections of tomorrow’s world using an interdisciplinary approach. Though primarily intended for readers with an interest in nonlinear science, thanks to its focus on the application of chaos and complexity to other disciplines, the book appeals to a broad readership.

The Chaos Avant Garde

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Author : Ralph Abraham
language : en
Publisher: World Scientific
Release Date : 2000

The Chaos Avant Garde written by Ralph Abraham and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves. It also provides an excellent historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time OCo two by Steve Smale, three by Yoshisuke Ueda, and one each by Ralph Abraham, Edward Lorenz, Christian Mira, Floris Takens, T Y Li and James A Yorke, and Otto E Rossler. Contents: On How I Got Started in Dynamical Systems 1959OCo1962 (S Smale); Finding a Horseshoe on the Beaches of Rio (S Smale); Strange Attractors and the Origin of Chaos (Y Ueda); My Encounter with Chaos (Y Ueda); Reflections on the Origin of the Broken-Egg Chaotic Attractor (Y Ueda); The Chaos Revolution: A Personal View (R Abraham); The Butterfly Effect (E Lorenz); I Gumowski and a Toulouse Research Group in the OC PrehistoricOCO Times of Chaotic Dynamics (C Mira); The Turbulence Paper of D Ruelle & F Takens (F Takens); Exploring Chaos on an Interval (T Y Li & J A Yorke); Chaos, Hyperchaos and the Double-Perspective (O E RAssler). Readership: Educators and university students of science and mathematics."

An Exploration Of Dynamical Systems And Chaos

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Author : John H. Argyris
language : en
Publisher: Springer
Release Date : 2015-04-24

An Exploration Of Dynamical Systems And Chaos written by John H. Argyris and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-24 with Technology & Engineering categories.

This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures. "This book will be of valuable help for my lectures" Hermann Haken, Stuttgart "This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Würzburg “This well written book represents a comprehensive treatise on dynamical systems. It may serve as reference book for the whole field of nonlinear and chaotic systems and reports in a unique way on scientific developments of recent decades as well as important applications.” Joachim Peinke, Institute of Physics, Carl-von-Ossietzky University Oldenburg, Germany

Clinical Chaos

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Author : Linda Chamberlain
language : en
Publisher: Routledge
Release Date : 2016-01-28

Clinical Chaos written by Linda Chamberlain and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-28 with Psychology categories.

Psychology and the social sciences are in need of a new foundation, one that provides a better model for understanding complex behavior. Chaos theory and its newest permutation, complexity theory, offers an innovative, exciting and potentially revolutionary leap forward in the evolution of scientific thought. In Clinical Chaos, therapists and theoreticians from various areas in the social sciences will explore the relevance and implications for non-linear dynamics in observing, explaining, and understanding human behavior. At last, the scientific search can again encompass surprise, transformation, unpredictability, and pattern. This book is intended to introduce social scientists to chaos through paths that are already familiar. By linking chaos theory with existing psychological theories and established areas of clinical pursuit, Clinical Chaos emphasizes the relevance of this new science in providing a more flexible useful model for complexities of life.

Chaos Paradigm

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Author : Morris A. Inch
language : en
Publisher: University Press of America
Release Date : 1998

Chaos Paradigm written by Morris A. Inch and has been published by University Press of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Religion categories.

In this book, Morris A. Inch probes the relevance of chaos theory for theological studies. The author first studies chaos in the context of Biblical theology, providing a survey of the Biblical narrative that touches on both the Old and the New Testaments. He proceeds with a more systematic approach, offering two representative studies concerning mankind and the Holy Spirit. In the third and final section, Inch delves into subsequent historical developments by means of a study of Augustine's 'The City of God.'

Chaos Information And The Future Of Physics The Seaman Rossler Dialogue With Information Perspectives By Burgin And Seaman

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Author : William Seaman
language : en
Publisher: World Scientific
Release Date : 2023-06-22

Chaos Information And The Future Of Physics The Seaman Rossler Dialogue With Information Perspectives By Burgin And Seaman written by William Seaman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-22 with Mathematics categories.

The main part of the book consists of the dialogue between physicist Otto Rössler, and artist and AI researcher Bill Seaman with the commentaries disclosing information perspective by information scientist Mark Burgin and Bill Seaman. In this dialogue, Rössler and Seaman discuss concepts surrounding Rössler's major research over his lifetime. Additionally, each research topic is linked to the set of papers and books published by Rössler and other related collaborative researchers. The goal is to delineate an intellectual directory for future researchers. The discussed topics being transdisciplinary in nature cross many fields in science and technology. A comprehensive historical bibliography is also included. The work explores many fields germane to theoretical science as Rössler was often quite early in developing these fields and interacting with many famous scientists. This work pertains to information theory, which has often been left out of the historical literature.Burgin as an expert in information theory is providing an information perspective on this dialogue adding historical discussion and relevant scientific and mathematical underpinnings of the discussed ideas. His observations are complemented by Seaman, who presents the synthesis of artistic and scientific outlook.Addendum contains articles describing Rössler's relationships to colleagues from multiple fields, a parable by Rössler and papers related to Rössler's research and theoretical models of processes in the universe.

Exploring Chaos

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