02501nam a22003495a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084001500185100002700200245007800227260008200305300003400387336002600421337002600447338003600473347002400509490005100533506006600584520128900650650003501939650004601974700003302020856003202053856006602085247-191101CH-001817-320191101233002.0a fot ||| 0|cr nn mmmmamaa191101e20191210sz fot ||| 0|eng d a978303719700470a10.4171/2002doi ach0018173 7aPBKJ2bicssc a37-xx2msc1 aFisher, Todd,eauthor.10aHyperbolic Flowsh[electronic resource] /cTodd Fisher, Boris Hasselblatt3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2019 a1 online resource (737 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aZurich Lectures in Advanced Mathematics (ZLAM)1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php aThe origins of dynamical systems trace back to flows and differential equations, and this is a modern text and reference on dynamical systems in which continuous-time dynamics is primary. It addresses needs unmet by modern books on dynamical systems, which largely focus on discrete time. Students have lacked a useful introduction to flows, and researchers have difficulty finding references to cite for core results in the theory of flows. Even when these are known substantial diligence and consultation with experts is often needed to find them.
This book presents the theory of flows from the topological, smooth, and measurable points of view. The first part introduces the general topological and ergodic theory of flows, and the second part presents the core theory of hyperbolic flows as well as a range of recent developments. Therefore, the book can be used both as a textbook – for either courses or self-study – and as a reference for students and researchers.
There are a number of new results in the book, and many more are hard to locate elsewhere, often having appeared only in the original research literature. This book makes them all easily accessible and does so in the context of a comprehensive and coherent presentation of the theory of hyperbolic flows.07aDifferential equations2bicssc07aDynamical systems and ergodic theory2msc1 aHasselblatt, Boris,eauthor.40uhttps://doi.org/10.4171/200423cover imageuhttps://www.ems-ph.org/img/books/fisher_mini.jpg