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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Exploiting the rounding mode of floating-point in the simulation of Chua’s circuit

Discontinuity, Nonlinearity, and Complexity 7(2) (2018) 185--193 | DOI:10.5890/DNC.2018.06.007

M. R. Silva; E. G. Nepomuceno; G. F. V. Amaral; S. A. M. Martins; L. G. Nardo

Modelling and Control Group (GCOM), Department of Electrical Engineering, Federal University of São João del-Rei, MG, 36307-352, Brazil

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The Chua’s circuit has been considered as one of the most important paradigms for nonlinear science studies. Its simulations is usually undertaken by means of numerical methods under the rules of IEEE 754-2008 floating-point arithmetic standard. Although, it is well known the propagation error issue, less attention has been given to its consequences on the simulation of Chua’s circuit. In this paper we presented a simulation technique for the Chua’s circuit, it exhibits qualitative differences in traditional approaches such as RK3, RK4 and RK5. By means of the positive largest Lyapunov exponent we show that for the same initial condition and same set of parameters, we produce a periodical and a chaotic solution.


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