SIMULATION OF CHUA'S CIRCUIT BY MEANS OF INTERVAL ANALYSIS
Melanie Rodrigues Silva1; Erivelton Geraldo Nepomuceno1; Gleison Fransoares Vasconcelos Amaral1; Valceres Vieira Rocha Silva1
1 Federal University of São João del-Rei
Resumo
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, little attention has been given to the relation between this error and the inequalities presented in the Chua's circuit model. Using interval analysis we showed that the error may shift the bifurcation point, where the circuit alternate his behaviour form double scroll to scroll attractor.
Palavras-chave: Bifurcation Analysis and Applications; Modeling; Chua's Circuit; Numerical Simulation and Optimization; Analysis and Control of Nonlinear Dynamical Systems with Practical Applications