Nonuniform Hyperbolicity

This book presents the theory of dynamical systems with nonzero Lyapunov exponents, offering a rigorous mathematical foundation for deterministic chaos - the appearance of chaotic motions in pure deterministic dynamical systems. These ideas and methods are used in many areas of mathematics as well as in physics, biology, and engineering. Despite the substantial amount of research on the subject, there have been relatively few attempts to summarize and unify results in a single manuscript. This comprehensive book can be used as a reference or as a supplement to an advanced course on dynamical systems.

Author: Luis Barreira, Yakov Pesin
Publisher: Cambridge University Press
Published: 11/22/2007
Pages: 528
Binding Type: Hardcover
Weight: 1.93lbs
Size: 9.33h x 6.44w x 1.44d
ISBN: 9780521832588

About the Author
Pesin, Yakov: - Yakov Pesin is a Distinguished Professor of Mathematics at The Pennsylvania State University. He obtained his PhD from The Gorky State University in 1979. He is the author of three books, Dimension Theory in Dynamical Systems, Lectures on Partial Hyperbolicity and Stable Ergodicity, and, with Luis Barreira, Lyapunov Exponents and Smooth Ergodic Theory, as well as six surveys and more than seventy research papers. He is an executive editor of the journal Ergodic Theory and Dynamical Systems.Barreira, Luis: - Luis Barreira is a Professor of Mathematics at Instituto Superior Técnico in Lisbon. He obtained his PhD from The Pennsylvania State University in 1996, under the guidance of Yakov Pesin, with whom he co-authored the book Lyapunov Exponents and Smooth Ergodic Theory. He has also written two surveys and more than forty research papers in dynamical systems.