A J Lichtenberg

(Author)

Regular and Chaotic DynamicsPaperback, 1 December 2010

Regular and Chaotic Dynamics
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Part of Series
Applied Mathematical Sciences
Part of Series
Applied Mathematical Sciences (Springer)
Print Length
692 pages
Language
English
Publisher
Springer
Date Published
1 Dec 2010
ISBN-10
1441931007
ISBN-13
9781441931009

Description

What's in a name? The original title of our book, Regular and Stochastic Motion, was chosen to emphasize Hamiltonian dynamics and the physical motion of bodies. The new edition is more evenhanded, with considerably more discussion of dissipative systems and dynamics not involving physical motion. To reflect this partial change of emphasis, we have substituted the more general terms in our title. The common usage of the new terms clarifies the emphasis of the book. The main change in the book has been to expand the sections on dissipative dynamics, including discussion of renormalization, circle maps, intermittancy, crises, transient chaos, multifractals, reconstruction, and coupled mapping systems. These topics were either mainly in the mathemati- cal literature or essentially unstudied when our first edition was written. The volume of work in these areas has surpassed that in Hamiltonian dynamics within the past few years. We have also made changes in the Hamiltonian sections, adding many new topics such as more general transformation and stability theory, connected stochasticity in two-dimensional maps, converse KAM theory, new topics in diffusion theory, and an approach to equilibrium in many dimensions. Other sections such as mapping models have been revised to take into account new perspectives. We have also corrected a number of misprints and clarified various arguments with the help of colleagues and students, some of whom we acknowledge below. We have again chosen not to treat quantum chaos, partly due to our own lack ofacquaintance with the subject.

Product Details

Authors:
A J LichtenbergM a Lieberman
Book Format:
Paperback
Country of Origin:
NL
Date Published:
1 December 2010
Dimensions:
23.39 x 15.6 x 3.66 cm
ISBN-10:
1441931007
ISBN-13:
9781441931009
Language:
English
Location:
New York, NY
Pages:
692
Publisher:
Weight:
988.83 gm

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