TY - BOOK ID - 40822225 TI - Fractal dimensions for Poincaré recurrences AU - Afraĭmovich, V. S. AU - Ugalde, E. AU - Urías, J. PY - 2006 SN - 1280641851 9786610641857 0080462391 0444521895 9780444521897 9780080462394 9781280641855 6610641854 PB - Amsterdam ; London : Elsevier Science, DB - UniCat KW - Fractals. KW - Poincaré series. KW - Series, Poincaré KW - Fractal geometry KW - Fractal sets KW - Geometry, Fractal KW - Sets, Fractal KW - Sets of fractional dimension KW - Dimension theory (Topology) UR - https://www.unicat.be/uniCat?func=search&query=sysid:40822225 AB - 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 bo ER -