Download or read book Recurrence and Topology written by John M. Alongi and published by American Mathematical Soc.. This book was released on 2007 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight into the behavior of general solutions. In Recurrence and Topology, Alongi and Nelson provide a modern understanding of the subject, using the language and tools of dynamical systems and topology. Recurrence and Topology develops increasingly more general topological modes of recurrence for dynamical systems beginning with fixed points and concluding with chain recurrent points.