Title :
Conservation of Constraints in a 3D System
Author :
Mei, Lijie ; Wu, Xin
Abstract :
A new velocity triple scaling method is proposed to preserve two integrals of a 3D nonlinear system in the whole course of numerical integration. It is shown with the help of numerical experiments that conservation of the two constraints is always useful to obtain true dynamical structures of phase space for the ordered and chaotic cases, but only stabilization of the total energy is not.
Keywords :
Accuracy; Chaos; Manifolds; Orbits; Three dimensional displays; Vectors; hypersurface; integrals; nonlinear system; numerical integration; stabilization;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2011 International Conference on
Conference_Location :
Chengdu, China
Print_ISBN :
978-1-4577-1540-2
DOI :
10.1109/ICCIS.2011.113
