qRecurrence and Topology develops increasingly more general topological modes of recurrence for dynamical systems beginning with fixed points and concluding with chain recurrent points. For each type of recurrence the text provides detailed examples arising from explicit systems of differential equations; it establishes the general topological properties of the set of recurrent points; and it investigates the possibility of partitioning the set of recurrent points into subsets which are dynamically irreducible. The text includes a discussion of real-valued functions that reflect the structure of the sets of recurrent points and concludes with a thorough treatment of the Fundamental Theorem of Dynamical Systems.q qRecurrence and Topology is appropriate for mathematics graduate students, though a well-prepared undergraduate might read most of the text with great benefit.q--BOOK JACKET.Integrating by parts we obtain lim a#39; a 00 = lim /oo F(s) (2x2(s)) If f(s) = 2TM-***, then F(s) = -alt; L(x, y) = l-2y- *, and 4 ... If /(s) = 47re-4*a#39;, then F(s) = -e~*TM, and 1 - 2y (1 - tan2(?ry)) + | tan(Trx) if x alt; 1/2, = 0 if x- 1/2, 2y - 1 (1 - tan2(7ry)) - f tan(?rx) anbsp;...
|Title||:||Recurrence and Topology|
|Author||:||John M. Alongi, Gail Susan Nelson|
|Publisher||:||American Mathematical Soc. -|