Applied Mathematical Sciences

Regular and Chaotic Dynamics

Authors: Lichtenberg, Allan, Lieberman, Michael

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-1-4757-2184-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-387-97745-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4419-3100-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (8 chapters)

  • Overview and Basic Concepts

    Lichtenberg, A. J. (et al.)

    Pages 1-69

  • Canonical Perturbation Theory

    Lichtenberg, A. J. (et al.)

    Pages 70-161

  • Mappings and Linear Stability

    Lichtenberg, A. J. (et al.)

    Pages 162-244

  • Transition to Global Stochasticity

    Lichtenberg, A. J. (et al.)

    Pages 245-292

  • Stochastic Motion and Diffusion

    Lichtenberg, A. J. (et al.)

    Pages 293-372

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-1-4757-2184-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-387-97745-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4419-3100-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Regular and Chaotic Dynamics
Authors
Series Title
Applied Mathematical Sciences
Series Volume
38
Copyright
1992
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-2184-3
DOI
10.1007/978-1-4757-2184-3
Hardcover ISBN
978-0-387-97745-4
Softcover ISBN
978-1-4419-3100-9
Series ISSN
0066-5452
Edition Number
2
Number of Pages
XXII, 692
Topics