Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
On Simulations and an Implementation of Chaotic and Hyperchaotic Motions of Lorenz Models
Submission Author:
Ranulfo Acir de Oliveira Resende , SP , Brazil
Co-Authors:
José Manoel Balthazar, Angelo Marcelo Tusset, Atila Bueno, Paulo Serni, Ranulfo Acir de Oliveira Resende
Presenter: Ranulfo Acir de Oliveira Resende
doi://10.26678/ABCM.COBEM2017.COB17-0156
Abstract
This work is comprised by simulations and experiment of four dimensions generalized Lorenz system with hyperchaos behavior. The system studied was analyzed concerned to Lyapunov exponents ́ spectrum and, for the designed parameters, the implementation was supposed to have hyperchaos characteristics, what we indeed inferred from qualitative comparison of time series waveforms and phase planes with simulations. Furthermore, we implemented a simplified linear feedback control in just one dimension of the system, achieving the expected result of following continuous and quasi-sinusoidal references.
Keywords
Optimal Control, Nonlinear
