Geometric Methods for Discrete Dynamical Systems

Hardcover | January 1, 1998

byRobert W. Easton

not yet rated|write a review
This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models usedto describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. Thebook will be a useful reference for mathematicians, scientists, and engineers studying this field, and an ideal text for graduate courses in dynamical systems.

Pricing and Purchase Info

$214.50

Ships within 1-3 weeks
Ships free on orders over $25

From the Publisher

This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models usedto describe physical processes, and from the...

Robert W. Easton is at University of Colorado, Boulder.

other books by Robert W. Easton

Royal Dates with Destiny
Royal Dates with Destiny

Kobo ebook|Dec 15 2009

$8.69 online$11.20list price(save 22%)
From the Yenisei to the Yukon: Interpreting Lithic Assemblage Variability in Late Pleistocene/Early…
From the Yenisei to the Yukon: Interpreting Lithic Asse...

Kobo ebook|Apr 1 2011

$61.59 online$79.99list price(save 23%)
Native American Architecture
Native American Architecture

Kobo ebook|Oct 25 1990

$40.99

see all books by Robert W. Easton
Format:HardcoverDimensions:176 pages, 6.18 × 9.21 × 0.79 inPublished:January 1, 1998Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0195085450

ISBN - 13:9780195085457

Look for similar items by category:

Customer Reviews of Geometric Methods for Discrete Dynamical Systems

Reviews

Extra Content

Table of Contents

1. Examples2. Dynamical Systems3. Hyperbolic Fixed Points4. Isolated Invariant Sets and Isolating Blocks5. The Conley Index6. Symplectic Maps7. Invariant MeasuresAppendix A Metric SpacesAppendix B Numerical Methods for Ordinary Differential EquationsAppendix C Tangent Bundles, Manifolds, and Differential FormsAppendix D Symplectic ManifoldsAppendix E Algebraic TopologyReferencesIndex

Editorial Reviews

"Robert W. Easton's Geometric Methods for Discrete Dynamical Systems can be used as a reference for mathematicians and as a supplement or text for standard mathematics graduate courses in dynamial systems. . . .this book is a useful reference for geometric and topographical aspects ofdynamical systems theory, and it should help these points of view to gain a wider audeince among theoretical and applied non-linear dynamicists." SIAM Review