Abstract
We develop a method of control, “resonant control,” when a weak resonant perturbation is tuned so as to drive the system into naturally occurring regimes, namely, periodic orbits, which happen to be unstable for some nominal parameter value. The results show that nonfeedback control by periodic perturbations can be goal oriented, and a final state can be predictably targeted. The method allows us to alter nonchaotic as well as chaotic dynamics using only small perturbations.
- Received 3 December 1997
DOI:https://doi.org/10.1103/PhysRevE.58.423
©1998 American Physical Society