Note on a parameter switching method for nonlinear ODEs
Chaotic Dynamics
2016-07-12 v2
Abstract
In this paper we study analytically a parameter switching (PS) algorithm applied to a class of systems of ODE, depending on a single real parameter. The algorithm allows the numerical approximation of any solution of the underlying system by simple periodical switches of the control parameter. Near a general approach of the convergence of the PS algorithm, some dissipative properties are investigated and the dynamical behavior of solutions is investigated with the Lyapunov function method. A numerical example is presented
Cite
@article{arxiv.1602.02489,
title = {Note on a parameter switching method for nonlinear ODEs},
author = {Marius-F. Danca and Michal Feckan},
journal= {arXiv preprint arXiv:1602.02489},
year = {2016}
}
Comments
Mathematica Slovaca, 66, 439-448 (2016)