Note on a parameter switching method for nonlinear ODEs-Reference-Cited by-同舟云学术

Note on a parameter switching method for nonlinear ODEs

Published:2016-04-01 Issue:2 Volume:66 Page:439-448
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Danca Marius-F.¹,Fečkan Michal²

Affiliation:

1. Department of Mathematics and Computer Science Emanuel University of Oradea 410597 Oradea ROMANIA Romanian Institute for Science and Technology Str. Cireilor 29 400487 Cluj-Napoca ROMANIA

2. Department of Mathematical Analysis and Numerical Mathematics Comenius University Mlynská dolina 842 48 Bratislava SLOVAKIA Mathematical Institute Slovak Academy of Sciences Štefánikova 49 814 73 Bratislava SLOVAKIA

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2015-0148/pdf

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