Wyniki wyszukiwania:

This text is devoted to a topic that has undergone rapid and fruitful development over the last 25 years of the 20th century, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory.

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...