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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