Controlling chaos in unidimensional maps using macroevolutionary algorithms.
We introduce a simple search algorithm that explores the parameter of periodically perturbed discrete maps in order to find desired orbits through chaos control. The method has been applied to one-dimensional maps but is easily extendable to higher-dimensional systems. Here, we consider two types of chaos control involving proportional pulses in the system variables [Phys. Rev. Lett. 72, 1455 (1994)] and constant feedback [Phys. Rev. E 51, 6239 (1995)], the first case being presented in detail. It is shown that our method allows a rapid exploration of parameter space and the finding of high-fitness (i.e., controlled) solutions close to the target orbits, even when high periodicities are required.
Marín
Jesús
J
E. U. d'Enginyers Tècnics Industrials de Barcelona, Department of Automatic Control, Technical University of Catalonia, Compte d'Urgell, 187, 08036 Barcelona, Spain.
Solé
Ricard V
RV