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Grammatical Complexity and One-dimensional Dynamical Systems
Huimin Xie
出版World Scientific, 1996
主題Science / Mechanics / DynamicsScience / Chaotic Behavior in Systems
ISBN98102239869789810223984
URLhttp://books.google.com.hk/books?id=njhqDQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.