Chaos On The Interval
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Chaos On The Interval
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Author : Sylvie Ruette
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-03-02
Chaos On The Interval written by Sylvie Ruette and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.
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
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Author : James Johnson
language : en
Publisher: Lulu.com
Release Date : 2018
Chaos Report Decision Latency Theory It Is All About The Interval written by James Johnson and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Business & Economics categories.
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.
Chaos A Mathematical Introduction
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Author : John Banks
language : en
Publisher: Cambridge University Press
Release Date : 2003-05-08
Chaos A Mathematical Introduction written by John Banks and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-08 with Mathematics categories.
When new ideas like chaos first move into the mathematical limelight, the early textbooks tend to be very difficult. The concepts are new and it takes time to find ways to present them in a form digestible to the average student. This process may take a generation, but eventually, what originally seemed far too advanced for all but the most mathematically sophisticated becomes accessible to a much wider readership. This book takes some major steps along that path of generational change. It presents ideas about chaos in discrete time dynamics in a form where they should be accessible to anyone who has taken a first course in undergraduate calculus. More remarkably, it manages to do so without discarding a commitment to mathematical substance and rigour. The book evolved from a very popular one-semester middle level undergraduate course over a period of several years and has therefore been well class-tested.
Topological Dynamical Systems
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Author : Jan Vries
language : en
Publisher: Walter de Gruyter
Release Date : 2014-01-31
Topological Dynamical Systems written by Jan Vries and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-31 with Mathematics categories.
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.
Advances In Nonlinear Systems And Networks Volume Ii
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Author : Fei Yu
language : en
Publisher: Frontiers Media SA
Release Date : 2024-03-04
Advances In Nonlinear Systems And Networks Volume Ii written by Fei Yu and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-04 with Science categories.
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."
Nonlinearity Bounded Rationality And Heterogeneity
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Author : Tamotsu Onozaki
language : en
Publisher: Springer
Release Date : 2018-01-28
Nonlinearity Bounded Rationality And Heterogeneity written by Tamotsu Onozaki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-28 with Business & Economics categories.
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.
Information Computing And Applications
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Author : Rongbo Zhu
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-27
Information Computing And Applications written by Rongbo Zhu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-27 with Computers categories.
This book constitutes the refereed proceedings of the First International Conference on Information Computing and Applications, ICICA 2010, held in Tangshan, China, in October 2010. The 76 papers are organized in topical sections on parallel and distributed computing; trusted and pervasive computing; internet and web computing; multimedia networking and computing; evolutionary computing and applications; scientific and engineering computing; and intelligent computing and applications.
The Nonlinear World
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Author : Yoshitsugu Oono
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-30
The Nonlinear World written by Yoshitsugu Oono and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-30 with Science categories.
The most important characteristic of the “world filled with nonlinearity” is the existence of scale interference: disparate space–time scales interfere with each other. Thus, the effects of unknowable scales invade the world that we can observe directly. This leads to various peculiar phenomena such as chaos, critical phenomena, and complex biological phenomena, among others. Conceptual analysis and phenomenology are the keys to describe and understand phenomena that are subject to scale interference, because precise description of unfamiliar phenomena requires precise concepts and their phenomenological description. The book starts with an illustration of conceptual analysis in terms of chaos and randomness, and goes on to explain renormalization group philosophy as an approach to phenomenology. Then, abduction is outlined as a way to express what we have understood about the world. The book concludes with discussions on how we can approach genuinely complex phenomena, including biological phenomena. The main target of this volume is young people who have just started to appreciate the world seriously. The author also wishes the book to be helpful to those who have been observing the world, but who wish to appreciate it afresh from a different angle.
Complex And Chaotic Nonlinear Dynamics
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Author : Thierry Vialar
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-26
Complex And Chaotic Nonlinear Dynamics written by Thierry Vialar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-26 with Business & Economics categories.
Complex dynamics constitute a growing and increasingly important area as they offer a strong potential to explain and formalize natural, physical, financial and economic phenomena. This book pursues the ambitious goal to bring together an extensive body of knowledge regarding complex dynamics from various academic disciplines. Beyond its focus on economics and finance, including for instance the evolution of macroeconomic growth models towards nonlinear structures as well as signal processing applications to stock markets, fundamental parts of the book are devoted to the use of nonlinear dynamics in mathematics, statistics, signal theory and processing. Numerous examples and applications, almost 700 illustrations and numerical simulations based on the use of Matlab make the book an essential reference for researchers and students from many different disciplines who are interested in the nonlinear field. An appendix recapitulates the basic mathematical concepts required to use the book.