This book investigates the application of dynamical systems theory to cosmological models, particularly focusing on their asymptotic states and early universe behavior. The authors explore how dynamical systems theory, especially when applied to finite systems of autonomous ordinary differential equations, is adept at characterizing the long-term evolution of cosmological models. The text emphasizes self-similar models and reviews the asymptotic properties of spatially homogeneous perfect fluid models within general relativity. It further delves into scalar field models with exponential potentials and the dynamical properties of models derived from string effective actions, offering a comprehensive analysis for graduate students and professional astronomers.

This book is presented as a valuable resource for graduate students and professional astronomers interested in modern cosmology. The detailed exploration of dynamical systems applied to cosmological models suggests a text aimed at those with a strong background in physics and mathematics. Its focus on specific theoretical frameworks like general relativity and string theory indicates a readership seeking in-depth theoretical understanding rather than a general overview.