Fully Chaotic Maps and Broken Time Symmetry (Nonlinear Phenomena and Complex Systems) [Hardcover]

Dean J. Driebe (Author)

Book Description

ISBN-10: 0792355644 | ISBN-13: 978-0792355649 | Publication Date: February 28, 1999 | Edition: 1st

This is the first book providing an introduction to a new approach to the nonequilibrium statistical mechanics of chaotic systems. It shows how the dynamical problem in fully chaotic maps may be solved on the level of evolving probability densities. On this level, time evolution is governed by the Frobenius-Perron operator. Spectral decompositions of this operator for a variety of systems are constructed in generalized function spaces. These generalized spectral decompositions are of special interest for systems with invertible trajectory dynamics, as on the statistical level the new solutions break time symmetry and allow for a rigorous understanding of irreversibility. Several techniques for the construction of explicit spectral decompositions are given. Systems ranging from the simple one-dimensional Bernoulli map to an invertible model of deterministic diffusion are treated in detail. Audience: Postgraduate students and researchers in chaos, dynamical systems and statistical mechanics.

Product Details

• Hardcover: 174 pages
• Publisher: Springer; 1st edition (February 28, 1999)
• Language: English
• ISBN-10: 0792355644
• ISBN-13: 978-0792355649
• Product Dimensions: 9.5 x 6.5 x 0.6 inches
• Shipping Weight: 15.5 ounces (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #3,972,053 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

3 of 3 people found the following review helpful:

5.0 out of 5 stars A Masterful Introduction to the Subject of Chaotic Maps, March 9, 1999

By 

Matthew Trump ([e-mail]) (Univ. of Texas at Austin) - See all my reviews

This review is from: Fully Chaotic Maps and Broken Time Symmetry (Nonlinear Phenomena and Complex Systems) (Hardcover)

Dr. Driebe's book, which grew out of his work at the Ilya Prigogine Center for Studies in Statistical Mechanics, is an excellent overview of the theory of irreversible systems in physics. It is suitable for an advanced graduate-level physics course, and the reader who completes it would be capable of doing state-of-the-art research into this branch of nonlinear dynamics.