Note on a parameter switching method for nonlinear ODEs
arXiv:1602.02489 · doi:10.1515/ms-2015-0148
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
Mathematica Slovaca, 66, 439-448 (2016)