Silva, M. R. and Nepomuceno, Erivelton and Amaral, G. F. V. and Martins, S. A. M. and Nardo, L. G. (2018) Exploiting the rounding mode of floating-point in the simulation of Chua’s circuit. Discontinuity, Nonlinearity, and Complexity, 7 (2). pp. 185-193. ISSN 2164-6376

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Abstract

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.

Item Type:	Article
Keywords:	Bifurcation Analysis and Applications; Modeling; Chua’s circuit; Numerical Simulation and Optimization;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	16758
Identification Number:	https://doi.org/10.5890/DNC.2018.06.007
Depositing User:	Erivelton Nepomuceno
Date Deposited:	29 Nov 2022 16:31
Journal or Publication Title:	Discontinuity, Nonlinearity, and Complexity
Publisher:	L&H Scientific Publishing
Refereed:	Yes
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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