The Transition to Chaos PDF
By:Linda Reichl
Published on 2013-04-17 by Springer Science & Business Media
resonances. Nonlinear resonances cause divergences in conventional perturbation expansions. This occurs because nonlinear resonances cause a topological change locally in the structure of the phase space and simple perturbation theory is not adequate to deal with such topological changes. In Sect. (2.3), we introduce the concept of integrability. A sys tem is integrable if it has as many global constants of the motion as degrees of freedom. The connection between global symmetries and global constants of motion was first proven for dynamical systems by Noether [Noether 1918]. We will give a simple derivation of Noether's theorem in Sect. (2.3). As we shall see in more detail in Chapter 5, are whole classes of systems which are now known to be inte there grable due to methods developed for soliton physics. In Sect. (2.3), we illustrate these methods for the simple three-body Toda lattice. It is usually impossible to tell if a system is integrable or not just by looking at the equations of motion. The Poincare surface of section provides a very useful numerical tool for testing for integrability and will be used throughout the remainder of this book. We will illustrate the use of the Poincare surface of section for classic model of Henon and Heiles [Henon and Heiles 1964].
This Book was ranked at 41 by Google Books for keyword Chaos Theory.
Book ID of The Transition to Chaos's Books is r0P2BwAAQBAJ, Book which was written byLinda Reichlhave ETAG "hFqMVcKIfyI"
Book which was published by Springer Science & Business Media since 2013-04-17 have ISBNs, ISBN 13 Code is 9781475743524 and ISBN 10 Code is 1475743521
Reading Mode in Text Status is false and Reading Mode in Image Status is true
Book which have "551 Pages" is Printed at BOOK under CategoryScience
Book was written in en
eBook Version Availability Status at PDF is true and in ePub is false
Book Preview
Download The Transition to Chaos PDF Free
Download The Transition to Chaos Books Free
Download The Transition to Chaos Free
Download The Transition to Chaos PDF
Download The Transition to Chaos Books
No comments:
Post a Comment