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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.
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.
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.
An Exploration of Dynamical Systems and Chaos by John H. Argyris,Gunter Faust,Maria Haase,Rudolf Friedrich Pdf
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
Author : L. Douglas Kiel,Euel W. Elliott Publisher : University of Michigan Press Page : 364 pages File Size : 52,6 Mb Release : 1997-09-26 Category : Business & Economics ISBN : 0472084720
It's no secret that we are addicted to control. We work to control our time, our TVs, our weight, and even our faith lives. We strive for efficiency and quantifiable results. But all that control, we soon find out, is exhausting. And it is contrary to God's plan for us. In Chaos and Grace, Mark Galli offers readers freedom from the need for control and order by reintroducing them to the mysterious work of the Holy Spirit. In this insightful book, Galli exposes our individual mistakes and the church's foibles and points the way to grace--which, as it happens, usually lies through chaos and crisis. Through Scripture he shows us that this problem is not unique to modern believers and helps us learn from the stories of God's people through the ages as they gave up and gave in to the transforming work of the Holy Spirit.
Clinical Chaos by Linda Chamberlain,Michael R. Butz Pdf
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.
Exploring the Geometry of Nature by Ed Rietman Pdf
The science of chaos attracts the attention of researchers in many disciplines. The idea: by following simple principles of randomness and disorder, patterns emerge. Here, users on their own PC's can construct mathematical models duplicating processes found in nature.
Author : Morris A. Inch Publisher : University Press of America Page : 148 pages File Size : 42,9 Mb Release : 1998 Category : Religion ISBN : 0761810617
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 by William Seaman,Otto E Rossler,Mark Burgin Pdf
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.
Chaos, Complexity, and Sustainability in Management by Cepni, Elif Pdf
In today's rapidly evolving world, traditional management approaches often fail to address the complexities of modern challenges. Decision-makers frequently encounter unpredictable environments where Volatility, Uncertainty, Complexity, and Ambiguity (VUCA) reign; this poses a significant obstacle to achieving sustainable outcomes and can lead to ineffective decision-making. By presenting cutting-edge research and theoretical frameworks, Chaos, Complexity, and Sustainability in Management equips seasoned professionals, researchers, and students with the tools to navigate the complexities of adaptive systems and make informed decisions in a VUCA world. It delves into decision-making in strenuous environments, systems thinking, and sustainable management practices, providing practical insights and strategies for addressing these challenges. Through a comprehensive exploration of these concepts, readers will understand how to thrive in turbulent times.
The Collapse of Chaos by Ian Stewart,Jack Cohen Pdf
Do we live in a simple or a complex universe? Jack Cohen and Ian Stewart explore the ability of complicated rules to generate simple behaviour in nature through 'the collapse of chaos'. 'The most startling, thought-provoking book I've read all year. I was pleased to learn that most of the things I thought I knew were wrong' -- Terry Pratchett
Handbook of Research on Chaos and Complexity Theory in the Social Sciences by Erçetin, ?efika ?ule Pdf
The concept of “chaos”, and chaos theory, though it is a field of study specifically in the field of mathematics with applications in physics, engineering, economics, management, and education, has also recently taken root in the social sciences. As a method of analyzing the way in which the digital age has connected society more than ever, chaos and complexity theory serves as a tactic to tie world events and cope with the information overload that is associated with heightened social connectivity. The Handbook of Research on Chaos and Complexity Theory in the Social Sciences explores the theories of chaos and complexity as applied to a variety of disciplines including political science, organizational and management science, economics, and education. Presenting diverse research-based perspectives on mathematical patterns in the world system, this publication is an essential reference source for scholars, researchers, mathematicians, social theorists, and graduate-level students in a variety of disciplines.
Chaos, Complexity and Leadership 2017 by Şefika Şule Erçetin,Nihan Potas Pdf
The proceedings of the 2017 Symposium on Chaos, Complexity and Leadership illuminate current research results and academic work from the fields of physics, mathematics, education, economics, as well as management and social sciences. The text explores chaotic and complex systems, as well as chaos and complexity theory in view of their applicability to management and leadership. This proceedings explores non-linearity as well as data-modelling and simulation in order to uncover new approaches and perspectives. Effort will not be spared in bringing theory into practice while exploring leadership and management-laden concepts. This book will cover the analysis of different chaotic developments from different fields within the concepts of chaos and complexity theory. Researchers and students in the field will find answers to questions surrounding these intertwined and compelling fields.
The award-winning Chaos Walking trilogy—consisting of The Knife of Never Letting Go, The Ask and the Answer, and Monsters of Men— is now available in its entirety in this e-book collection! Find out why The Sunday Times called Chaos Walking “remarkable” and why Publishers Weekly described the series as “one of the most important works of young adult science fiction in recent years.”