Astrophysics and Space Science Library

Dynamical Systems and Cosmology

Authors: Coley, A.A.

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About this book

Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary differential equations.
In this book we discuss cosmological models as dynamical systems, with particular emphasis on applications in the early Universe. We point out the important role of self-similar models. We review the asymptotic properties of spatially homogeneous perfect fluid models in general relativity. We then discuss results concerning scalar field models with an exponential potential (both with and without barotropic matter). Finally, we discuss the dynamical properties of cosmological models derived from the string effective action.
This book is a valuable source for all graduate students and professional astronomers who are interested in modern developments in cosmology.

Reviews

From the reviews:

"This is a very useful textbook about mathematical cosmology as an application of the theory of dynamical systems. The author takes care about the several notions of self-similarity – physical versus geometrical ones. … The 380 references give a good source for further-reading." (Hans-Jürgen Schmidt, Zentralblatt MATH, Vol. 1055 (6), 2005)


Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-94-017-0327-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-1-4020-1403-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $139.99
price for USA in USD
  • ISBN 978-90-481-6329-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Dynamical Systems and Cosmology
Authors
Series Title
Astrophysics and Space Science Library
Series Volume
291
Copyright
2003
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-0327-7
DOI
10.1007/978-94-017-0327-7
Hardcover ISBN
978-1-4020-1403-1
Softcover ISBN
978-90-481-6329-8
Series ISSN
0067-0057
Edition Number
1
Number of Pages
VIII, 195
Topics