By
Valentin Afraimovich, Universidad Autonoma de San Luis Potosi, Mexico.
Edgardo Ugalde, Universidad Autonoma de San Luis Potosi, Mexico.
Jesus Urias, Universidad Autonoma de San Luis Potosi, Mexico.
Description
This book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare
recurrences -instants of time when the system almost repeats its initial state. The authors were able to write an entirely self-contained
text including many insights and examples, as well as providing complete details of proofs. The only prerequisites are a basic knowledge
of analysis and topology. Thus this book can serve as a graduate text or self-study guide for courses in applied mathematics or nonlinear
dynamics (in the natural sciences). Moreover, the book can be used by specialists in applied nonlinear dynamics following the way in
the book. The authors applied the mathematical theory developed in the book to two important problems: distribution of Poincare recurrences
for nonpurely chaotic Hamiltonian systems and indication of synchronization regimes in coupled chaotic individual systems.
Included in series
Monograph Series on Nonlinear Science and Complexity
Audience:
Researchers, lecturers and students in Nonlinear, Statistical and Mathematical Physics
