Nato Science Series B:

Deterministic Chaos in General Relativity

Editors: Hobill, David, Burd, Adrian, Coley, A.A. (Eds.)

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About this book

Nonlinear dynamical systems play an important role in a number of disciplines. The physical, biological, economic and even sociological worlds are comprised of com­ plex nonlinear systems that cannot be broken down into the behavior of their con­ stituents and then reassembled to form the whole. The lack of a superposition principle in such systems has challenged researchers to use a variety of analytic and numerical methods in attempts to understand the interesting nonlinear interactions that occur in the World around us. General relativity is a nonlinear dynamical theory par excellence. Only recently has the nonlinear evolution of the gravitational field described by the theory been tackled through the use of methods used in other disciplines to study the importance of time dependent nonlinearities. The complexity of the equations of general relativity has been (and still remains) a major hurdle in the formulation of concrete mathematical concepts. In the past the imposition of a high degree of symmetry has allowed the construction of exact solutions to the Einstein equations. However, most of those solutions are nonphysical and of those that do have a physical significance, many are often highly idealized or time independent.

Table of contents (25 chapters)

  • A Brief Review of “Deterministic Chaos in General Relativity”

    Hobill, David

    Pages 1-16

  • Introduction to Dynamical Systems

    Wainwright, John

    Pages 19-61

  • A Short Course on Chaotic Hamiltonian Systems

    Churchill, Richard C.

    Pages 63-88

  • Geometry of Perturbation Theory

    Cushman, Richard

    Pages 89-101

  • Between Integrability and Chaos

    Rod, David L. (et al.)

    Pages 103-105

Buy this book

eBook $219.00
price for USA in USD (gross)
  • ISBN 978-1-4757-9993-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.99
price for USA in USD
  • ISBN 978-0-306-44811-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $279.99
price for USA in USD
  • ISBN 978-1-4757-9995-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Deterministic Chaos in General Relativity
Editors
  • David Hobill
  • Adrian Burd
  • A.A. Coley
Series Title
Nato Science Series B:
Series Volume
332
Copyright
1994
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-9993-4
DOI
10.1007/978-1-4757-9993-4
Hardcover ISBN
978-0-306-44811-9
Softcover ISBN
978-1-4757-9995-8
Series ISSN
0258-1221
Edition Number
1
Number of Pages
XII, 472
Topics