Sophisticated Chaos

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Elegant Chaos: Algebraically Simple Chaotic Flows

Author : Julien Clinton Sprott
Publisher : World Scientific
ISBN 13 : 9814468673
Total Pages : 302 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Elegant Chaos: Algebraically Simple Chaotic Flows by : Julien Clinton Sprott

Download or read book Elegant Chaos: Algebraically Simple Chaotic Flows written by Julien Clinton Sprott and published by World Scientific. This book was released on 2010-03-22 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos.No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study.

Sophisticated Chaos

Author : T. Russell Morris
Publisher : Lulu.com
ISBN 13 : 1312719834
Total Pages : 86 pages
Book Rating : 4.3/5 (127 download)

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Book Synopsis Sophisticated Chaos by : T. Russell Morris

Download or read book Sophisticated Chaos written by T. Russell Morris and published by Lulu.com. This book was released on 2006-02-17 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In triumph and agony...through joy and despair...beyond love and anger...his mind did swirl with violent colors...An ordered anarchy...within a sophisticated chaos" T. Russell Morris presents his second compilation of dark poetry. A travel through worlds of anger and frustration, longing and melancholy. Mr. Morris once again takes us into the empathetic struggle of dark wanderings of the mind and the frustration of the masses. From the longing pleas of "Lie To Me" and "Bulletproof", to the rage and fury of betrayal in "Razor" and "Forsaken", he shows us once again how he earned the title of "The Shakespeare of Angst". This edition contains 37 pieces

12 Step to Sophisticated Manipulation

Author : Tony Walker
Publisher : Tony Walker
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4./5 ( download)

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Book Synopsis 12 Step to Sophisticated Manipulation by : Tony Walker

Download or read book 12 Step to Sophisticated Manipulation written by Tony Walker and published by Tony Walker. This book was released on with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlock the secrets to mastering the art of influence and control with "The Art of Influence: 12 Steps to Sophisticated Manipulation." In this compelling and insightful guide, you'll discover powerful techniques and strategies used by top negotiators, influencers, and leaders to shape outcomes and sway opinions in their favor subtly. Whether you're looking to excel in business, improve your personal relationships, or understand the dynamics of influence, this book provides the comprehensive toolkit you need. Delve into each meticulously crafted step to help you navigate complex social landscapes and achieve your goals with finesse and subtlety. "The Art of Influence: 12 Steps to Sophisticated Manipulation" is an essential read for anyone looking to master the art of influence and control. Whether you're a business professional, a leader, or simply someone interested in the intricacies of human behavior, this book will provide you with the knowledge and tools to become a sophisticated manipulator in your own right.

Chaos Unveiled

Author : Barrett Williams
Publisher : Barrett Williams
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4./5 ( download)

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Book Synopsis Chaos Unveiled by : Barrett Williams

Download or read book Chaos Unveiled written by Barrett Williams and published by Barrett Williams. This book was released on 2024-08-21 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: **Chaos Unveiled An Expedition into the Intricate World of Chaos Theory and Complex Systems** Unlock the mysteries of the universe's most captivating phenomenon with "Chaos Unveiled," an enlightening journey through chaos theory and complex systems. Crafted to engross and educate, this book serves as your definitive guide to understanding the unpredictable nature of the world around us. Dive into **Chapter 1** and explore the humble beginnings of chaos theory and its dramatic evolution into a pivotal scientific discipline. Discover key contributors and the milestones that have defined this groundbreaking field. Move into **Chapter 2**, where the intricate mathematics behind chaos comes to life. Understand nonlinear dynamics, sensitivity to initial conditions, and the enigmatic strange attractors that lead to seemingly random behaviors out of deterministic processes. In **Chapter 3**, delve into the mesmerizing world of fractals and self-similarity. From the beauty of fractal geometry to real-world applications, this chapter is a visual and intellectual feast. **Chapter 4** takes you into fluid dynamics, demystifying the complex phenomena of turbulence, vortices, and the iconic Lorenz attractor that revolutionized weather prediction and modeling. Explore the fascinating roles chaos plays in **biological systems** in **Chapter 5**, from population dynamics and cardiac rhythms to intricate ecosystems and food webs. Unravel the secrets of chaotic behavior in chemical reactions in **Chapter 6**, and discover how these principles govern both simple reactions and the complex chemistry of living organisms. Venture into **economic chaos** in **Chapter 7**, understanding stock market fluctuations, market bubbles, and the unpredictable nature of economic forecasting. The applications of chaos theory in **engineering** are unlocked in **Chapter 8**, revealing insights into control systems, structural analysis, and the ever-evolving field of robotics and machine learning. **Chapter 9** sheds light on chaos in social systems, from human behavior and social networks to the intricacies of urban planning. Experience medical breakthroughs in **Chapter 10**, where chaos theory enhances diagnostics, epidemiology, and our understanding of brain activity. Discover chaos in the vast expanse of **environmental science** and **astronomy** in **Chapters 11 and 12**, exploring climate change, earthquake prediction, orbital mechanics, and cosmic phenomena. **Chapter 13** provides groundbreaking insights into computational approaches, from numerical simulations to data analysis and pattern recognition. Reflect on the **philosophical implications** in **Chapter 14** as you weigh determinism against randomness and ponder the ethical considerations of predictability. Finally, look towards the **future of chaos theory** in **Chapter 15**, exploring emerging research areas, interdisciplinary collaborations, and the bright horizon of unanswered questions and challenges. "Chaos Unveiled" is not merely a book—it's an invitation to explore, question, and understand the beautifully intricate world of chaos theory. Get ready to have your mind expanded and your curiosity ignited!

Chaotic Logic

Author : Ben Goertzel
Publisher : Springer Science & Business Media
ISBN 13 : 1475721978
Total Pages : 290 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Chaotic Logic by : Ben Goertzel

Download or read book Chaotic Logic written by Ben Goertzel and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes a network of interrelated ideas which I have developed, off and on, over the past eight or ten years. The underlying theme is the psychological interplay of order and chaos. Or, to put it another way, the interplay of deduction and induction. I will try to explain the relationship between logical, orderly, conscious, rule-following reason and fluid, self organizing, habit-governed, unconscious, chaos-infused intuition. My previous two books, The Structure of Intelligence and The Evolving Mind, briefly touched on this relationship. But these books were primarily concerned with other matters: SI with constructing a formal language for discussing mentality and its mechanization, and EM with exploring the role of evolution in thought. They danced around the edges of the order/chaos problem, without ever fully entering into it. My goal in writing this book was to go directly to the core of mental process, "where angels fear to tread" -- to tackle all the sticky issues which it is considered prudent to avoid: the nature of consciousness, the relation between mind and reality, the justification of belief systems, the connection between creativity and mental illness,.... All of these issues are dealt with here in a straightforward and unified way, using a combination of concepts from my previous work with ideas from chaos theory and complex systems science.

Images Of A Complex World: The Art And Poetry Of Chaos (With Cd-rom)

Author : Robin S Chapman
Publisher : World Scientific
ISBN 13 : 9814479888
Total Pages : 195 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Images Of A Complex World: The Art And Poetry Of Chaos (With Cd-rom) by : Robin S Chapman

Download or read book Images Of A Complex World: The Art And Poetry Of Chaos (With Cd-rom) written by Robin S Chapman and published by World Scientific. This book was released on 2005-08-25 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the poems written by winner of the Posner Poetry Award from the Council of Wisconsin Writers in 2005, this coffee-table book will delight and inform general readers curious about ideas of chaos, fractals, and nonlinear complex systems. Developed out of ten years of interdisciplinary seminars in chaos and complex systems at the University of Wisconsin-Madison, it features multiple ways of knowing: Robin Chapman's poems of everyday experience of change in a complex world, associated metaphorically with Julien Clinton Sprott's full-color computer art generated from billions of versions of only three simple equations for strange attractors, Julia sets, and iterated function systems; his definitions of 39 key terms; a mathematical appendix; and even a multiple-choice quiz to test understanding. Accompanied by a CD-ROM of the poet reading 13 poems and 1,000 images of chaos art from which slide shows can be generated and 100 high-resolution posters created, the book has a foreword by Cliff Pickover, author of A Passion for Mathematics.

Chaos and Complex Systems

Author : Stavros G. Stavrinides
Publisher : Springer Science & Business Media
ISBN 13 : 364233914X
Total Pages : 559 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Chaos and Complex Systems by : Stavros G. Stavrinides

Download or read book Chaos and Complex Systems written by Stavros G. Stavrinides and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complexity Science and Chaos Theory are fascinating areas of scientific research with wide-ranging applications. The interdisciplinary nature and ubiquity of complexity and chaos are features that provides scientists with a motivation to pursue general theoretical tools and frameworks. Complex systems give rise to emergent behaviors, which in turn produce novel and interesting phenomena in science, engineering, as well as in the socio-economic sciences. The aim of all Symposia on Chaos and Complex Systems (CCS) is to bring together scientists, engineers, economists and social scientists, and to discuss the latest insights and results obtained in the area of corresponding nonlinear-system complex (chaotic) behavior. Especially for the “4th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems,” which took place April 29th to May 2nd, 2012 in Antalya, Turkey, the scope of the symposium had been further enlarged so as to encompass the presentation of work from circuits to econophysics, and from nonlinear analysis to the history of chaos theory. The corresponding proceedings collected in this volume address a broad spectrum of contemporary topics, including but not limited to networks, circuits, systems, biology, evolution and ecology, nonlinear dynamics and pattern formation, as well as neural, psychological, psycho-social, socio-economic, management complexity and global systems.

Leading Global Projects

Author : William Youngdahl
Publisher : Routledge
ISBN 13 : 1136388419
Total Pages : 271 pages
Book Rating : 4.1/5 (363 download)

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Book Synopsis Leading Global Projects by : William Youngdahl

Download or read book Leading Global Projects written by William Youngdahl and published by Routledge. This book was released on 2008-09-10 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a must-read for anyone responsible for projects and initiatives that span functional and geographical divides. Authors Moran and Youngdahl bring extensive experience and learning from industry practice to present a clear and straightforward treatment of the leadership skills and knowledge required to lead projects that are global in nature. They have written the first book of its kind to address the three essential skills of global project leaders - strategic project management, project leadership, and cross-cultural leadership. The authors argue that global project leadership is an essential skill in our project-based world and that we are all either intentional or accidental project leaders. Intentional project leaders pursue formal project management education and even certification whereas accidental project leaders find themselves leading global project and initiatives as a result of a special assignment or promotion. Moran and Youndahl have found that the vast majority of global projects leaders fall into the accidental category and have written the book to be accessible to those who have not necessarily pursued formal project management education. Experienced intentional project managers can skip the single chapter on project management fundamentals to move to the more advanced chapters addressing topics such as influencing without formal authority across functional and geographical boundaries and leading global projects at the edge of crisis. • The only book that combines themes of strategic project management, project leadership and cross-cultural leadership • Rich with examples and stories to illustrate key skills and knowledge required to lead global projects

Complex Webs

Author : Bruce J. West
Publisher : Cambridge University Press
ISBN 13 : 1139493779
Total Pages : 386 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Complex Webs by : Bruce J. West

Download or read book Complex Webs written by Bruce J. West and published by Cambridge University Press. This book was released on 2010-12-23 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Webs synthesises modern mathematical developments with a broad range of complex network applications of interest to the engineer and system scientist, presenting the common principles, algorithms, and tools governing network behaviour, dynamics, and complexity. The authors investigate multiple mathematical approaches to inverse power laws and expose the myth of normal statistics to describe natural and man-made networks. Richly illustrated throughout with real-world examples including cell phone use, accessing the Internet, failure of power grids, measures of health and disease, distribution of wealth, and many other familiar phenomena from physiology, bioengineering, biophysics, and informational and social networks, this book makes thought-provoking reading. With explanations of phenomena, diagrams, end-of-chapter problems, and worked examples, it is ideal for advanced undergraduate and graduate students in engineering and the life, social, and physical sciences. It is also a perfect introduction for researchers who are interested in this exciting new way of viewing dynamic networks.

Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems

Author : Yeliz Karaca
Publisher : Academic Press
ISBN 13 : 0323886167
Total Pages : 352 pages
Book Rating : 4.3/5 (238 download)

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Book Synopsis Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems by : Yeliz Karaca

Download or read book Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems written by Yeliz Karaca and published by Academic Press. This book was released on 2022-06-22 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems addresses different uncertain processes inherent in the complex systems, attempting to provide global and robust optimized solutions distinctively through multifarious methods, technical analyses, modeling, optimization processes, numerical simulations, case studies as well as applications including theoretical aspects of complexity. Foregrounding Multi-chaos, Fractal and Multi-fractional in the era of Artificial Intelligence (AI), the edited book deals with multi- chaos, fractal, multifractional, fractional calculus, fractional operators, quantum, wavelet, entropy-based applications, artificial intelligence, mathematics-informed and data driven processes aside from the means of modelling, and simulations for the solution of multifaceted problems characterized by nonlinearity, non-regularity and self-similarity, frequently encountered in different complex systems. The fundamental interacting components underlying complexity, complexity thinking, processes and theory along with computational processes and technologies, with machine learning as the core component of AI demonstrate the enabling of complex data to augment some critical human skills. Appealing to an interdisciplinary network of scientists and researchers to disseminate the theory and application in medicine, neurology, mathematics, physics, biology, chemistry, information theory, engineering, computer science, social sciences and other far-reaching domains, the overarching aim is to empower out-of-the-box thinking through multifarious methods, directed towards paradoxical situations, uncertain processes, chaotic, transient and nonlinear dynamics of complex systems. Constructs and presents a multifarious approach for critical decision-making processes embodying paradoxes and uncertainty. Includes a combination of theory and applications with regard to multi-chaos, fractal and multi-fractional as well as AI of different complex systems and many-body systems. Provides readers with a bridge between application of advanced computational mathematical methods and AI based on comprehensive analyses and broad theories.

The Topology of Chaos

Author : Robert Gilmore
Publisher : John Wiley & Sons
ISBN 13 : 352763942X
Total Pages : 618 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis The Topology of Chaos by : Robert Gilmore

Download or read book The Topology of Chaos written by Robert Gilmore and published by John Wiley & Sons. This book was released on 2012-09-19 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems. The authors provide a deep understanding of the structure of strange attractors, how they are classified, and how the information required to identify and classify a strange attractor can be extracted from experimental data. In its first edition, the Topology of Chaos has been a valuable resource for physicist and mathematicians interested in the topological analysis of dynamical systems. Since its publication in 2002, important theoretical and experimental advances have put the topological analysis program on a firmer basis. This second edition includes relevant results and connects the material to other recent developments. Following significant improvements will be included: * A gentler introduction to the topological analysis of chaotic systems for the non expert which introduces the problems and questions that one commonly encounters when observing a chaotic dynamics and which are well addressed by a topological approach: existence of unstable periodic orbits, bifurcation sequences, multistability etc. * A new chapter is devoted to bounding tori which are essential for achieving generality as well as for understanding the influence of boundary conditions. * The new edition also reflects the progress which had been made towards extending topological analysis to higher-dimensional systems by proposing a new formalism where evolving triangulations replace braids. * There has also been much progress in the understanding of what is a good representation of a chaotic system, and therefore a new chapter is devoted to embeddings. * The chapter on topological analysis program will be expanded to cover traditional measures of chaos. This will help to connect those readers who are familiar with those measures and tests to the more sophisticated methodologies discussed in detail in this book. * The addition of the Appendix with both frequently asked and open questions with answers gathers the most essential points readers should keep in mind and guides to corresponding sections in the book. This will be of great help to those who want to selectively dive into the book and its treatments rather than reading it cover to cover. What makes this book special is its attempt to classify real physical systems (e.g. lasers) using topological techniques applied to real date (e.g. time series). Hence it has become the experimenter?s guidebook to reliable and sophisticated studies of experimental data for comparison with candidate relevant theoretical models, inevitable to physicists, mathematicians, and engineers studying low-dimensional chaotic systems.

Aid on the Edge of Chaos

Author : Ben Ramalingam
Publisher : Oxford University Press, USA
ISBN 13 : 0199578028
Total Pages : 471 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Aid on the Edge of Chaos by : Ben Ramalingam

Download or read book Aid on the Edge of Chaos written by Ben Ramalingam and published by Oxford University Press, USA. This book was released on 2013-10-24 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aid has become a tangle of donors and recipients, so unwieldy that it is in danger of collapse. This ground-breaking book presents fresh thinking that transcends the 'more' verses 'less' arguments. Drawing on complexity theory it shows how aid could be transformed into a truly dynamic form of global cooperation fit for the twenty-first century.

Chaos

Author : Angelo Vulpiani
Publisher : World Scientific
ISBN 13 : 9814277665
Total Pages : 482 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Chaos by : Angelo Vulpiani

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.

Philosophy at the Edge of Chaos

Author : Jeffrey A. Bell
Publisher : University of Toronto Press
ISBN 13 : 0802094090
Total Pages : 305 pages
Book Rating : 4.8/5 (2 download)

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Book Synopsis Philosophy at the Edge of Chaos by : Jeffrey A. Bell

Download or read book Philosophy at the Edge of Chaos written by Jeffrey A. Bell and published by University of Toronto Press. This book was released on 2006-01-01 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the early 1960s until his death, French philosopher Gilles Deleuze (1925-1995) wrote many influential works on philosophy, literature, film, and fine art. One of Deleuze's main philosophical projects was a systematic inversion of the traditional relationship between identity and difference. This Deleuzian philosophy of difference is the subject of Jeffrey A. Bell's Philosophy at the Edge of Chaos. Bell argues that Deleuze's efforts to develop a philosophy of difference are best understood by exploring both Deleuze's claim to be a Spinozist, and Nietzsche's claim to have found in Spinoza an important precursor. Beginning with an analysis of these claims, Bell shows how Deleuze extends and transforms concepts at work in Spinoza and Nietzsche to produce a philosophy of difference that promotes and, in fact, exemplifies the notions of dynamic systems and complexity theory. With these concepts at work, Deleuze constructs a philosophical approach that avoids many of the difficulties that linger in other attempts to think about difference. Bell uses close readings of Plato, Aristotle, Spinoza, Nietzsche, Heidegger, Derrida, and Whitehead to illustrate how Deleuze's philosophy is successful in this regard and to demonstrate the importance of the historical tradition for Deleuze. Far from being a philosopher who turns his back on what is taken to be a mistaken metaphysical tradition, Bell argues that Deleuze is best understood as a thinker who endeavoured to continue the work of traditional metaphysics and philosophy.

Chaos in Discrete Dynamical Systems

Author : Ralph Abraham
Publisher : Springer Science & Business Media
ISBN 13 : 1461219361
Total Pages : 257 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Chaos in Discrete Dynamical Systems by : Ralph Abraham

Download or read book Chaos in Discrete Dynamical Systems written by Ralph Abraham and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The materials in the book and on the accompanying disc are not solely developed with only the researcher and professional in mind, but also with consideration for the student: most of this material has been class-tested by the authors. The book is packed with some 100 computer graphics to illustrate the material, and the CD-ROM contains full-colour animations tied directly to the subject matter of the book itself. The cross-platform CD also contains the program ENDO, which enables users to create their own 2-D imagery with X-Windows. Maple scripts are provided to allow readers to work directly with the code from which the graphics in the book were taken.

Chaos: Concepts, Control and Constructive Use

Author : Yurii Bolotin
Publisher : Springer Science & Business Media
ISBN 13 : 3642009379
Total Pages : 203 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Chaos: Concepts, Control and Constructive Use by : Yurii Bolotin

Download or read book Chaos: Concepts, Control and Constructive Use written by Yurii Bolotin and published by Springer Science & Business Media. This book was released on 2009-08-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of physics has changed in character, mainly due to the passage from the analyses of linear systems to the analyses of nonlinear systems. Such a change began, it goes without saying, a long time ago but the qualitative change took place and boldly evolved after the understanding of the nature of chaos in nonlinear s- tems. The importance of these systems is due to the fact that the major part of physical reality is nonlinear. Linearity appears as a result of the simpli?cation of real systems, and often, is hardly achievable during the experimental studies. In this book, we focus our attention on some general phenomena, naturally linked with nonlinearity where chaos plays a constructive part. The ?rst chapter discusses the concept of chaos. It attempts to describe the me- ing of chaos according to the current understanding of it in physics and mat- matics. The content of this chapter is essential to understand the nature of chaos and its appearance in deterministic physical systems. Using the Turing machine, we formulate the concept of complexity according to Kolmogorov. Further, we state the algorithmic theory of Kolmogorov–Martin-Lof ̈ randomness, which gives a deep understanding of the nature of deterministic chaos. Readers will not need any advanced knowledge to understand it and all the necessary facts and de?nitions will be explained.

Ambiguity

Author : A. J. Saxon
Publisher : Lulu.com
ISBN 13 : 1430302879
Total Pages : 102 pages
Book Rating : 4.4/5 (33 download)

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Book Synopsis Ambiguity by : A. J. Saxon

Download or read book Ambiguity written by A. J. Saxon and published by Lulu.com. This book was released on 2007-02-01 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ambiguity is the second volume of poetry from the Contemporary Poet Guild. A web based writing group with a primary focus on poetry. We vary as much in style as we do in personality and lifestyle. This unique mix of people has allowed us to be one of the most dynamic poetry groups on the Internet. Contained within this eclectic anthology you will find tales of love, romance, war, fantasy, domestic violence, hate, nature, family, disillusionment, heartache and healing. This book is sure to become a worthy addition to your library. Poets featured in this edition: Tony Beahan, Moonfyre Cardinal, Debby Sorenson Carlson, Drew Herr, Elizabeth Hoskings, Dr Kevin Kaos, George Kuc, Mike LaFountaine, Tim Lang, T. Russell Morris, AJ Saxon, Atom Blakk & Evelle Zorastar