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1. Convergence of a parameter switching algorithm for a class of nonlinear continuous systems and a generalization of Parrondo’s paradox

Author

Danca, Marius-F.

Subjects
*STOCHASTIC convergence, *PARAMETER estimation, *ALGORITHMS, *NONLINEAR systems, *INITIAL value problems, *APPROXIMATION theory, *ATTRACTORS (Mathematics)
Abstract

Abstract: In this paper, we prove the convergence of a numerical algorithm that switches in some deterministic or random manner, the control parameter of a class of continuous-time nonlinear systems while the underlying initial value problem is numerically integrated. The numerically obtained attractor is a good approximation of the attractor obtained when the control parameter is replaced with the average of the switched values. In this way, a generalization of Parrondo’s paradox can be obtained. As an application, the Lorenz and Rabinovich–Fabrikant systems are used for illustration. [Copyright &y& Elsevier]

Published
2013
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