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Note on a parameter switching method for nonlinear ODEs

In: Mathematica Slovaca, vol. 66, no. 2
Marius-F. Danca - Michal Fečkan

Details:

Year, pages: 2016, 439 - 448
Keywords:
numerical approximation of solutions, averaging method, Lyapunov function, chaos control, anticontrol
About article:
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.
How to cite:
ISO 690:
Danca, M., Fečkan , M. 2016. Note on a parameter switching method for nonlinear ODEs. In Mathematica Slovaca, vol. 66, no.2, pp. 439-448. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0148

APA:
Danca, M., Fečkan , M. (2016). Note on a parameter switching method for nonlinear ODEs. Mathematica Slovaca, 66(2), 439-448. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0148
About edition:
Published: 1. 4. 2016