Controle de caos e saltos entre atratores em um sistema com impactos / Control of caos and basin hopping in a system with impacts
AUTOR(ES)
Everton Santos Medeiros
DATA DE PUBLICAÇÃO
2010
RESUMO
For a mechanical system, described by the impact-pair model, we studied the control of chaos by a parametric perturbation and the basin-hopping phenomeno. For this nonintegrable system, we obtained numerically the evolution of its dynamical variables for a large set of initial conditions and control parameters. For this analysis, we used phase planes, Poincar´e sections, bifurcation diagrams, basin of attractions, Lyapunov exponents, and bidimensional parameter spaces. A parametric control was implemented by adding an external perturbation with defined amplitude and frequency. The control of chaos was analized in the two-dimensional parameter space. In the parameter space, we observed the formation of new periodic windows (shrimps) in the neighborhood of previously one. In the new periodic windows, the new controlled attractors have the same shape and periodicity of those in the original windows. For two attractors, the basin-hopping was analyzed for a white noise with frequency band. We showed that the hop frequency increases with the noise amplitude and the dissipation intensity. This occurs due to changes in the basins of attraction.
ASSUNTO(S)
systems with impacts teoria de caos caos theory sistemas com impactos control of caos
