Adaptive control of chaos in a delayed high dimensional laser system
Authors: Meucci R., Arecchi F.T., Ciofini M., Labate A.
Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Dip. di Fisica, Università di Firenze
Abstract: An efficient method to control a delayed feedback system is described. The method uses a suitable space-like representation which provides an analogy between delayed systems and space extended systems. The analogy rests on the fact that the time variable can be decomposed into a continuous spacelike variable and a discrete timelike variable. Since the long-range temporal interaction due to the delayed feedback is considered as a local interaction from one to the next delay unit, the behavior of such a system can be studied by representing the original signal as a space-time plot of a one-dimensional spatial system on a discrete time lattice.
More Information: Sponsors: European Physical Society; IEEE; Lasers and Electro-Optics Socity; Optical Socity of AmericaKeyWords: Adaptive algorithms; Adaptive control systems; Carbon dioxide lasers; Chaos theory; Feedback; Oscillations, Chaotic oscillations; Delayed feedback systems, Laser theory