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Dynamical Systems and Cosmology (2004)

Dynamical Systems and Cosmology

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"Dynamical Systems and Cosmology" by A.A. Coley is a mathematics book and learning resource focused on Deep Sky & Solar System. Best for teachers, students, and readers looking for stronger mathematical understanding.

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.

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Best For: Researchers and students in cosmology and applied mathematics
Focus: Applying dynamical systems theory to cosmological models, especially early Universe scenarios
Covers: Use of autonomous ordinary differential equations to analyze asymptotic states and the role of self-similar models
Why It Matters: Provides a mathematical framework to understand the evolution and behavior of the Universe through dynamical systems

"Dynamical Systems and Cosmology" by A.A. Coley is a mathematics book and learning resource focused on Deep Sky & Solar System. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Deep Sky & Solar System

Author: A.A. Coley

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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.

AuthorA.A. Coley
PublisherSpringer Science & Business Media
Published2003-10-31
ISBN-139781402014031
BindingHardcover
Pages210
LanguageEnglish
SubjectsScience
TopicDeep Sky & Solar System
SeriesAstrophysics and Space Science Library

Format: Hardcover

Length: 210 pages

Language: English

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