Chaos On The Interval
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Chaos on the Interval
Author: Sylvie Ruette
language: en
Publisher: American Mathematical Soc.
Release Date: 2017-03-02
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
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
Author: John Banks
language: en
Publisher: Cambridge University Press
Release Date: 2003-05-08
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.