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Lectures in Differentiable Dynamics

A co-publication of the AMS and CBMS
Available Formats:
Softcover ISBN: 978-0-8218-1695-0
Product Code: CBMS/3
List Price: $23.00 Individual Price:$18.40
Electronic ISBN: 978-1-4704-2363-6
Product Code: CBMS/3.E
List Price: $21.00 Individual Price:$16.80
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List Price: $34.50 Click above image for expanded view Lectures in Differentiable Dynamics A co-publication of the AMS and CBMS Available Formats:  Softcover ISBN: 978-0-8218-1695-0 Product Code: CBMS/3  List Price:$23.00 Individual Price: $18.40  Electronic ISBN: 978-1-4704-2363-6 Product Code: CBMS/3.E  List Price:$21.00 Individual Price: $16.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$34.50
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 31971; 77 pp
MSC: Primary 34; Secondary 54; 58; 70;

This extensively revised and expanded edition of Lectures in Differentiable Dynamics, first published in 1971, provides an authoritative exposition of the central results of this fundamental and rapidly developing mathematical subject, starting from simple engineering systems and proceeding to current research topics concerning differentiable flows on manifolds. The original version of this monograph culminates in the research results of the 1960s, enphasizing the concepts of structural stability and generic dynamics—with references to Morse-Smale and Anosov hyperbolic differential systems. In the new edition there appears a general updating to cover research of the past decade through 1980, with a major supplemental Appendix reviewing the modern developments under five basic areas: I. Nonlinear Oscillations, II. Diffeomorphisms and Foliations, III. General Theory—Dissipative Dynamics, IV. General Theory—Conservative Dynamics, V. Chaos, Catastrophe, and Multi-Valued Trajectories.

There is also an extensive bibliography, including special listings of important mathematical conferences, major survey articles, and current research articles.

• Chapters
• 1. History of differentiable dynamics
• 2. Differentiable dynamics, definitions and examples
• 3. Basic problems of differentiable dynamics
• 4. Comparison and contrast of topological and differentiable dynamics
• 5. Morse-Smale, Anosov hyperbolic and generic dynamical systems
• 6. The principal results of differentiable dynamics
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 31971; 77 pp
MSC: Primary 34; Secondary 54; 58; 70;

This extensively revised and expanded edition of Lectures in Differentiable Dynamics, first published in 1971, provides an authoritative exposition of the central results of this fundamental and rapidly developing mathematical subject, starting from simple engineering systems and proceeding to current research topics concerning differentiable flows on manifolds. The original version of this monograph culminates in the research results of the 1960s, enphasizing the concepts of structural stability and generic dynamics—with references to Morse-Smale and Anosov hyperbolic differential systems. In the new edition there appears a general updating to cover research of the past decade through 1980, with a major supplemental Appendix reviewing the modern developments under five basic areas: I. Nonlinear Oscillations, II. Diffeomorphisms and Foliations, III. General Theory—Dissipative Dynamics, IV. General Theory—Conservative Dynamics, V. Chaos, Catastrophe, and Multi-Valued Trajectories.

There is also an extensive bibliography, including special listings of important mathematical conferences, major survey articles, and current research articles.