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Grammatical Complexity and One-Dimensional Dynamical Systems

Huimin Xie
4.9/5 (14607 ratings)
Read Now Download Now ⏭ listen AudioBook
Description:A combinatorial method is developed in this book to explore the mysteries of chaos, which has became a topic of science since 1975. Using tools from theoretical computer science, formal languages and automata, the complexity of symbolic behaviors of dynamical systems is classified and analysed thoroughly. This book is mainly devoted to explanation of this method and apply it to one-dimensional dynamical systems, including the circle and interval maps, which are typical in exhibiting complex behavior through simple iterated calculations. The knowledge for reading it is self-contained in the book.Contents: "Strings and Languages: "Free MonoidsDynamical Languages"Grammatical Complexity of Unimodal Maps: "Languages of Unimodal MapsRegular Languages of Unimodal MapsA General Discussion of Kneading SequencesNon-Regular Languages of Unimodal MapsDEB of Unimodal MapsTopological Entropy of Unimodal Maps"Grammatical Complexity of Circle Homeomorphisms: "Languages of Circle HomeomorphismsComplexity Levels of Circle HomeomorphismsAutomata of Circle Homeomorphisms"Appendices: "Finite Automata and Regular LanguagesNon-Regular LanguagesL Systems and LanguagesReadership: Scientists interested in chaos and nonlinear science.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Grammatical Complexity and One-Dimensional Dynamical Systems. To get started finding Grammatical Complexity and One-Dimensional Dynamical Systems, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
290
Format
PDF, EPUB & Kindle Edition
Publisher
World Scientific Publishing Company
Release
2014
ISBN
1299663125

Grammatical Complexity and One-Dimensional Dynamical Systems

Huimin Xie
4.4/5 (1290744 ratings)
Read Now Download now ⏭ listen AudioBook
Description: A combinatorial method is developed in this book to explore the mysteries of chaos, which has became a topic of science since 1975. Using tools from theoretical computer science, formal languages and automata, the complexity of symbolic behaviors of dynamical systems is classified and analysed thoroughly. This book is mainly devoted to explanation of this method and apply it to one-dimensional dynamical systems, including the circle and interval maps, which are typical in exhibiting complex behavior through simple iterated calculations. The knowledge for reading it is self-contained in the book.Contents: "Strings and Languages: "Free MonoidsDynamical Languages"Grammatical Complexity of Unimodal Maps: "Languages of Unimodal MapsRegular Languages of Unimodal MapsA General Discussion of Kneading SequencesNon-Regular Languages of Unimodal MapsDEB of Unimodal MapsTopological Entropy of Unimodal Maps"Grammatical Complexity of Circle Homeomorphisms: "Languages of Circle HomeomorphismsComplexity Levels of Circle HomeomorphismsAutomata of Circle Homeomorphisms"Appendices: "Finite Automata and Regular LanguagesNon-Regular LanguagesL Systems and LanguagesReadership: Scientists interested in chaos and nonlinear science.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Grammatical Complexity and One-Dimensional Dynamical Systems. To get started finding Grammatical Complexity and One-Dimensional Dynamical Systems, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
290
Format
PDF, EPUB & Kindle Edition
Publisher
World Scientific Publishing Company
Release
2014
ISBN
1299663125

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