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 #  AuthorTitleAccn#YearItem Type Claims
1 Coley, A.A Dynamical Systems and Cosmology I11465 2003 eBook  
2 Hobill, David Deterministic Chaos in General Relativity I03605 1994 eBook  
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TitleDynamical Systems and Cosmology
Author(s)Coley, A.A
PublicationDordrecht, Springer Netherlands, 2003.
DescriptionVIII, 195 p : online resource
Abstract NoteDynamical 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
ISBN,Price9789401703277
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. Astronomy, Observations and Techniques 4. Astronomy???Observations 5. Classical and Quantum Gravitation, Relativity Theory 6. COSMOLOGY 7. DIFFERENTIAL EQUATIONS 8. EBOOK 9. EBOOK - SPRINGER 10. ENGINEERING MATHEMATICS 11. GRAVITATION 12. MATHEMATICAL PHYSICS 13. Observations, Astronomical 14. ORDINARY DIFFERENTIAL EQUATIONS 15. Theoretical, Mathematical and Computational Physics
Item TypeeBook
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I11465     On Shelf    

2.    
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TitleDeterministic Chaos in General Relativity
Author(s)Hobill, David;Burd, Adrian;Coley, A.A
PublicationNew York, NY, Springer US, 1994.
DescriptionXII, 472 p : online resource
Abstract NoteNonlinear 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
ISBN,Price9781475799934
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. MATHEMATICAL PHYSICS 4. Theoretical, Mathematical and Computational Physics
Item TypeeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
I03605     On Shelf    

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