Abstract

At present time the investigations of unstable orbits and unsteady states in different kinds of nonlinear dynamical systems have attracted much attention. This is connected with the possibility of controlling chaos and generating periodic behavior in parameter ranges where the uncontrolled system is chaotic. In this work we use specially tailored perturbations to reach specifically some unstable orbits. Contrary to the methods of control of chaos, large amplitude perturbations are used. The phase and the amplitude of the perturbation are the key parameters that allow to reach the specific orbit, which is aimed. The technique is quite general and allows to reach unstable orbits whether or not they are embedded inside a chaotic attractor.

© 1994 IEEE