Chaos On The Interval

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Chaos on the Interval

Sylvie Ruette
Chaos on the Interval Book PDF

Author : Sylvie Ruette
Publisher : American Mathematical Soc.
Page : 215 pages
File Size : 46,6 Mb
Release : 2017-03-02
Category : Chaotic behavior in systems
ISBN : 9781470429560

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Chaos on the Interval by Sylvie Ruette Pdf

The aim of this book is to survey the relations between the various kinds of chaos and related notions for continuous interval maps from a topological point of view. The papers on this topic are numerous and widely scattered in the literature; some of them are little known, difficult to find, or originally published in Russian, Ukrainian, or Chinese. Dynamical systems given by the iteration of a continuous map on an interval have been broadly studied because they are simple but nevertheless exhibit complex behaviors. They also allow numerical simulations, which enabled the discovery of some chaotic phenomena. Moreover, the “most interesting” part of some higher-dimensional systems can be of lower dimension, which allows, in some cases, boiling it down to systems in dimension one. Some of the more recent developments such as distributional chaos, the relation between entropy and Li-Yorke chaos, sequence entropy, and maps with infinitely many branches are presented in book form for the first time. The author gives complete proofs and addresses both graduate students and researchers.

CHAOS Report: Decision Latency Theory: It Is All About the Interval

James Johnson
CHAOS Report Decision Latency Theory It Is All About the Interval Book PDF

Author : James Johnson
Publisher : Lulu.com
Page : 72 pages
File Size : 52,8 Mb
Release : 2018-02-15
Category : Computer software
ISBN : 9780692048306

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CHAOS Report: Decision Latency Theory: It Is All About the Interval by James Johnson Pdf

The CHAOS Report: Decision Latency Theory: It¿s All About the Interval. This CHAOS Report 2018 presents the root cause of software project performance. The report also includes classic CHAOS data in different forms with many charts. Most of the charts come from the CHAOS database of over 50,000 in-depth project profiles from the fiscal years 2013 to 2017. A highlight of this report is our analysis and thought leadership what makes a project succeed and winning hand and what makes a losing hand.

Topological Dynamical Systems

Jan Vries
Topological Dynamical Systems Book PDF

Author : Jan Vries
Publisher : Walter de Gruyter
Page : 513 pages
File Size : 47,9 Mb
Release : 2014-01-31
Category : Mathematics
ISBN : 9783110342406

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Topological Dynamical Systems by Jan Vries Pdf

There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.

Robust Chaos and Its Applications

Elhadj Zeraoulia
Robust Chaos and Its Applications Book PDF

Author : Elhadj Zeraoulia
Publisher : World Scientific
Page : 473 pages
File Size : 47,8 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814374088

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Robust Chaos and Its Applications by Elhadj Zeraoulia Pdf

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 intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general, and chaos theory in particular.

Nonlinearity, Bounded Rationality, and Heterogeneity

Tamotsu Onozaki
Nonlinearity Bounded Rationality and Heterogeneity Book PDF

Author : Tamotsu Onozaki
Publisher : Springer
Page : 220 pages
File Size : 46,7 Mb
Release : 2018-01-28
Category : Business & Economics
ISBN : 9784431549710

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Nonlinearity, Bounded Rationality, and Heterogeneity by Tamotsu Onozaki Pdf

This book pursues a nonlinear approach in considering both chaotic dynamical models and agent-based simulation models of economics, as well as their dynamical behaviors. Three key concepts arising in this context are “nonlinearity,” “bounded rationality” and “heterogeneity,” which also make up the title of the book. Nonlinearity is the warp that runs throughout all models because systems that exhibit chaotic or other complex behavior in the absence of any exogenous disturbances are absolutely nonlinear. Bounded rationality constitutes the woof, because economic systems do not exhibit complex behavior if all agents are perfectly rational, as is usually assumed in neoclassical economics. Agents who are boundedly rational have to struggle to do their best with limited information and tend to adapt to their economic environment without knowing what is the best. Furthermore, the heterogeneity of firms or consumers dyes the fabric of complex dynamics woven from the warp and woof.

Chaos: A Mathematical Introduction

John Banks,Valentina Dragan,Arthur Jones
Chaos A Mathematical Introduction Book PDF

Author : John Banks,Valentina Dragan,Arthur Jones
Publisher : Cambridge University Press
Page : 310 pages
File Size : 54,9 Mb
Release : 2003-05-08
Category : Mathematics
ISBN : 0521531047

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Chaos: A Mathematical Introduction by John Banks,Valentina Dragan,Arthur Jones Pdf

Textbook on chaos; class-tested, elementary but rigorous, with applications and lots of pictures and exercises.

Fractals for the Classroom: Strategic Activities Volume Two

Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe,Evan Maletsky,Terry Perciante,Lee Yunker
Fractals for the Classroom Strategic Activities Volume Two Book PDF

Author : Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe,Evan Maletsky,Terry Perciante,Lee Yunker
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 50,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475752762

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Fractals for the Classroom: Strategic Activities Volume Two by Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe,Evan Maletsky,Terry Perciante,Lee Yunker Pdf

The same factors that motivated the writing of our first volume of strategic activities on fractals continued to encourage the assembly of additional activities for this second volume. Fractals provide a setting wherein students can enjoy hands-on experiences that involve important mathematical content connected to a wide range of physical and social phenomena. The striking graphic images, unexpected geometric properties, and fascinating numerical processes offer unparalleled opportunity for enthusiastic student inquiry. Students sense the vigor present in the growing and highly integrative discipline of fractal geom etry as they are introduced to mathematical developments that have occurred during the last half of the twentieth century. Few branches of mathematics and computer science offer such a contem porary portrayal of the wonderment available in careful analysis, in the amazing dialogue between numeric and geometric processes, and in the energetic interaction between mathematics and other disciplines. Fractals continue to supply an uncommon setting for animated teaching and learn ing activities that focus upon fundamental mathematical concepts, connections, problem-solving techniques, and many other major topics of elementary and advanced mathematics. It remains our hope that, through this second volume of strategic activities, readers will find their enjoyment of mathematics heightened and their appreciation for the dynamics of the world in creased. We want experiences with fractals to enliven curiosity and to stretch the imagination.

Hamiltonian Chaos and Fractional Dynamics

George M. Zaslavsky
Hamiltonian Chaos and Fractional Dynamics Book PDF

Author : George M. Zaslavsky
Publisher : OUP Oxford
Page : 436 pages
File Size : 43,9 Mb
Release : 2004-12-23
Category : Mathematics
ISBN : 9780191523519

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Hamiltonian Chaos and Fractional Dynamics by George M. Zaslavsky Pdf

The dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure and its phase space topology. The book deals with the fractality of the chaotic dynamics and kinetics, and also includes material on non-ergodic and non-well-mixing Hamiltonian dynamics. The book does not follow the traditional scheme of most of today's literature on chaos. The intention of the author has been to put together some of the most complex and yet open problems on the general theory of chaotic systems. The importance of the discussed issues and an understanding of their origin should inspire students and researchers to touch upon some of the deepest aspects of nonlinear dynamics. The book considers the basic principles of the Hamiltonian theory of chaos and some applications including for example, the cooling of particles and signals, control and erasing of chaos, polynomial complexity, Maxwell's Demon, and others. It presents a new and realistic image of the origin of dynamical chaos and randomness. An understanding of the origin of randomness in dynamical systems, which cannot be of the same origin as chaos, provides new insights in the diverse fields of physics, biology, chemistry, and engineering.

Dynamical Systems

Zeraoulia Elhadj
Dynamical Systems Book PDF

Author : Zeraoulia Elhadj
Publisher : CRC Press
Page : 189 pages
File Size : 42,9 Mb
Release : 2019-01-21
Category : Mathematics
ISBN : 9780429647420

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Dynamical Systems by Zeraoulia Elhadj Pdf

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.

Physiology, Promiscuity, and Prophecy at the Millennium

Bruce J. West
Physiology Promiscuity and Prophecy at the Millennium Book PDF

Author : Bruce J. West
Publisher : World Scientific
Page : 456 pages
File Size : 44,6 Mb
Release : 1999
Category : Philosophy
ISBN : 9810238363

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Physiology, Promiscuity, and Prophecy at the Millennium by Bruce J. West Pdf

This book concerns the development of a theory of complex phenomena, using such concepts as fractals, chaos, and fractional derivatives; but, most important, the idea of an allometric control process is developed. In summary the theory attempts to explain why the distribution in the intensity of wars is the same as the relative frequency of the number of words used in languages and the number of species evolved over time from one or a few remote ancestors. The theory also describes the similarity in the variability of the number of births to teens in Texas to the number of sexual partners in homosexual liaisons. The data in both of the aforementioned categories are shown to have long-term memory, and it is this memory that also gives rise to inverse power laws in such physiological phenomena as the interbeat interval distribution of the human heart, the interstride interval distribution in the human gait, and memory in DNA sequences.

Chaos

Otto E. Rössler,Christophe Letellier
Chaos Book PDF

Author : Otto E. Rössler,Christophe Letellier
Publisher : Springer Nature
Page : 242 pages
File Size : 53,8 Mb
Release : 2020-05-20
Category : Science
ISBN : 9783030443054

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Chaos by Otto E. Rössler,Christophe Letellier Pdf

Written in the 1980s by one of the fathers of chaos theory, Otto E. Rössler, the manuscript presented in this volume eventually never got published. Almost 40 years later, it remains astonishingly at the forefront of knowledge about chaos theory and many of the examples discussed have never been published elsewhere. The manuscript has now been edited by Christophe Letellier - involved in chaos theory for almost three decades himself, as well as being active in the history of sciences - with a minimum of changes to the original text. Finally released for the benefit of specialists and non-specialists alike, this book is equally interesting from the historical and the scientific points of view: an unconventionally modern approach to chaos theory, it can be read as a classic introduction and short monograph as well as a collection of original insights into advanced topics from this field.

Intelligent Computing and Information Science

Ran Chen
Intelligent Computing and Information Science Book PDF

Author : Ran Chen
Publisher : Springer
Page : 722 pages
File Size : 53,8 Mb
Release : 2010-12-25
Category : Computers
ISBN : 9783642181344

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Intelligent Computing and Information Science by Ran Chen Pdf

This two-volume set (CCIS 134 and CCIS 135) constitutes the refereed proceedings of the International Conference on Intelligent Computing and Information Science, ICICIS2011, held in Chongqing, China, in January 2011. The 226 revised full papers presented in both volumes, CCIS 134 and CCIS 135, were carefully reviewed and selected from over 600 initial submissions. The papers provide the reader with a broad overview of the latest advances in the field of intelligent computing and information science.

The Age of Spiritual Machines

Ray Kurzweil
The Age of Spiritual Machines Book PDF

Author : Ray Kurzweil
Publisher : Penguin
Page : 404 pages
File Size : 52,6 Mb
Release : 2000-01-01
Category : Computers
ISBN : 0140282025

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The Age of Spiritual Machines by Ray Kurzweil Pdf

The inventor of the most innovative and compelling technology of our era, an international authority on artificial intelligence, and bestselling author of The Singularity is Nearer now offers a framework for envisioning the twenty-first century in The Age of Spiritual Machines--an age in which the marriage of human sensitivity and artificial intelligence fundamentally alters and improves the way we live. Kurzweil's prophetic blueprint for the future takes us through the advances that inexorably result in computers exceeding the memory capacity and computational ability of the human brain by the year 2020 (with human-level capabilities not far behind); in relationships with automated personalities who will be our teachers, companions, and lovers; and in information fed straight into our brains along direct neural pathways. Optimistic and challenging, thought-provoking and engaging, The Age of Spiritual Machines is the ultimate guide on our road into the next century.

Anxiety Disorder Research

Calvin M. Velotis
Anxiety Disorder Research Book PDF

Author : Calvin M. Velotis
Publisher : Nova Publishers
Page : 330 pages
File Size : 46,7 Mb
Release : 2005
Category : Medical
ISBN : 1594542406

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Anxiety Disorder Research by Calvin M. Velotis Pdf

Anxiety disorders are the most common psychiatric illnesses affecting both children and adults. Anxiety disorders may develop from a complex set of risk factors, including genetics, brain chemistry, personality, and life events. Generalised Anxiety Disorder (GAD) is characterised by excessive, unrealistic worry that lasts six months or more; in adults, the anxiety may focus on issues such as health, money, or career. In obsessive-Compulsive Disorder (OCD) individuals are plagued by persistent, recurring thoughts (obsessions) that reflect exaggerated anxiety or fears; typical obsessions include worry about being contaminated or fears of behaving improperly or acting violently. Panic Disorder, a third type of anxiety disorder, is when people suffer severe attacks of panic which may make them feel like they are having a heart attack or are going crazy for no apparent reason. Post-Traumatic Stress Disorder (PTSD) can follow an exposure to a traumatic event such as a sexual or physical assault, witnessing a death, the unexpected death of a loved one, or natural disaster. Social Anxiety Disorder (Social Phobia; SAD) is characterised by extreme anxiety about being judged by others or behaving in a way that might cause embarrassment or ridicule. In regards to specific phobias people with specific phobias suffer from an intense fear reaction to a specific object or situation (such as spiders, dogs, or heights); the level of fear is usually inappropriate to the situation, and is recognised by the sufferer as being irrational. Drugs used to treat anxiety disorders include selective serotonin reuptake inhibitors (SSRIs), tricyclic antidepressants, benzodiazepines, beta blockers, and monoamine oxidase inhibitors (MAOIs). This new book brings together leading research from throughout the world.

The Physics of Chaos in Hamiltonian Systems

George M. Zaslavsky
The Physics of Chaos in Hamiltonian Systems Book PDF

Author : George M. Zaslavsky
Publisher : World Scientific
Page : 337 pages
File Size : 43,7 Mb
Release : 2007
Category : Science
ISBN : 9781860947957

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The Physics of Chaos in Hamiltonian Systems by George M. Zaslavsky Pdf

This book aims to familiarize the reader with the essential properties of the chaotic dynamics of Hamiltonian systems by avoiding specialized mathematical tools, thus making it easily accessible to a broader audience of researchers and students. Unique material on the most intriguing and fascinating topics of unsolved and current problems in contemporary chaos theory is presented. The coverage includes: separatrix chaos; properties and a description of systems with non-ergodic dynamics; the distribution of Poincar‚ recurrences and their role in transport theory; dynamical models of the Maxwell's Demon, the occurrence of persistent fluctuations, and a detailed discussion of their role in the problem underlying the foundation of statistical physics; the emergence of stochastic webs in phase space and their link to space tiling with periodic (crystal type) and aperiodic (quasi-crystal type) symmetries. This second edition expands on pseudochaotic dynamics with weak mixing and the new phenomenon of fractional kinetics, which is crucial to the transport properties of chaotic motion. The book is ideally suited to all those who are actively working on the problems of dynamical chaos as well as to those looking for new inspiration in this area. It introduces the physicist to the world of Hamiltonian chaos and the mathematician to actual physical problems.The material can also be used by graduate students.