Perspectives of Nonlinear Dynamics: Volume 1 Jackson Paperback 9780521426329

Perspectives of Nonlinear Dynamics: Volume 1Author(s): E. Atlee Jackson\nFormat: Paperback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521426329, 978-0521426329\nSynopsis\nThe dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincar maps and map-dynamics; empirical computational sciences vis--vis mathemat.