LIE–HAMILTON SYSTEMS: THEORY AND APPLICATIONS-Reference-Cited by-同舟云学术

LIE–HAMILTON SYSTEMS: THEORY AND APPLICATIONS

Published:2013-08-30 Issue:09 Volume:10 Page:1350047
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

CARIÑENA J. F.¹,DE LUCAS J.²,SARDÓN C.³

Affiliation:

1. Department of Fundamental Physics and IUMA, University of Zaragoza, Pedro Cerbuna 12, 50.009 Zaragoza, Spain

2. Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University, Wóycickiego 1/3, 01-938 Warszawa, Poland

3. Department of Fundamental Physics, University of Salamanca, Plaza de la Merced s/n, 37008 Salamanca, Spain

Abstract

This work concerns the definition and analysis of a new class of Lie systems on Poisson manifolds enjoying rich geometric features: the Lie–Hamilton systems. We devise methods to study their superposition rules, time independent constants of motion and Lie symmetries, linearizability conditions, etc. Our results are illustrated by examples of physical and mathematical interest.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887813500473

Reference53 articles.

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2. Quantal phase factors accompanying adiabatic changes

3. Applications of Lie Groups to Differential Equations

4. The Painlevé property for partial differential equations

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