LIE–TROTTER FORMULA AND POISSON DYNAMICS-Reference-Cited by-同舟云学术

LIE–TROTTER FORMULA AND POISSON DYNAMICS

Published:1999-03 Issue:03 Volume:09 Page:555-559
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

PUTA MIRCEA¹

Affiliation:

1. Seminarul de Geometrie-Topologie, West University of Timišoara, 900 Timišoara, Romania

Abstract

We construct via the Lie–Trotter formula some explicit Poisson integrators for the Maxwell–Bloch equations from laser-matter dynamics, the Euler equations of the free rigid body and the equations of the rigid body with a spinning rotor.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127499000390

Reference5 articles.

1. Explicit Lie-Poisson integration and the Euler equations

2. On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods

3. Symplectic integrators for Hamiltonian problems: an overview

4. On the product of semi-groups of operators

5. Symplectic maps for the n-body problem

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