Parameter estimation of chaotic system with time-delay: A differential evolution approach

Yinggan Tang and Xinping Guan

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 3132-3139

Abstract: It is an important issue to estimate parameters of chaotic system in nonlinear science. In this paper, parameter estimation problem of chaotic system with time-delay is considered. Parameters and time-delay are estimated together by treating time-delay as an additional parameter. The parameter estimation problem is converted to an multi-dimensional optimization problem. A differential evolution (DE) algorithm, which possess a powerful searching capability for finding the solutions for a given optimization problem, is applied to solve this optimization problem. Two illustrative examples are given to verify the effectiveness of the proposed method.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:3132-3139

DOI: 10.1016/j.chaos.2009.04.045

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