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Book Synopsis
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.

Grammatical Complexity And One-dimensional

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A Hardback by Bailin Hao, Huimin Xie

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    View other formats and editions of Grammatical Complexity And One-dimensional by Bailin Hao

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 23/11/1996
    ISBN13: 9789810223984, 978-9810223984
    ISBN10: 9810223986
    Also in:
    Chaos theory Combinatorics and graph theory Differential calculus and equations

    Description

    Book Synopsis
    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.

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