Grammatical Complexity And One-dimensional Dynamical Systems

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.

Product details

• Authors: H-M Xie, Huimin Xie, Huimin Xie
• Assisted by: Bailin Hao (Editor), Hao Bailin (Editor of the series)
• Publisher: Ingram Publishers Services
• Languages: English
• Product format: Hardback
• Released: 23.11.1996
• EAN: 9789810223984
• ISBN: 978-981-02-2398-4
• Series: Directions In Chaos
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Non-fiction book > Dictionaries, reference works > Miscellaneous; MATHEMATICS / Differential Equations / General, SCIENCE / Chaotic Behavior in Systems, MATHEMATICS / Combinatorics, Combinatorics & graph theory, Differential calculus & equations, Chaos Theory, Differential calculus and equations, Combinatorics and graph theory