Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion

Change of the time for the periodic Toda lattices and natural systems on the plane with higher... We discuss some special classes of canonical transformations of the time variable, which relate different integrable systems. Such dual systems have different integrals of motion, Lax equations, separated variables and bi-hamiltonian structures. As an example the two-dimensional periodic Toda lattices associated with the classical root systems and the dual natural systems on the palne are considered in detail. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Regular and Chaotic Dynamics Springer Journals

Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion

Regular and Chaotic Dynamics , Volume 14 (5) – Aug 26, 2009

Loading next page...
 
/lp/springer-journals/change-of-the-time-for-the-periodic-toda-lattices-and-natural-systems-huws4v7UdZ

References (24)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Pleiades Publishing, Ltd.
Subject
Mathematics; Dynamical Systems and Ergodic Theory
ISSN
1560-3547
eISSN
1468-4845
DOI
10.1134/S1560354709040108
Publisher site
See Article on Publisher Site

Abstract

We discuss some special classes of canonical transformations of the time variable, which relate different integrable systems. Such dual systems have different integrals of motion, Lax equations, separated variables and bi-hamiltonian structures. As an example the two-dimensional periodic Toda lattices associated with the classical root systems and the dual natural systems on the palne are considered in detail.

Journal

Regular and Chaotic DynamicsSpringer Journals

Published: Aug 26, 2009

There are no references for this article.