Controlling Chaos of a Delayed Optical Bistable System

Abstract

High-dimensional chaos was controlled with the occasional proportional feedback technique in a delayed optical bistable system which consists 0L a laser diode interferometer with a delayed opto-electronic feedback 100p. Both the experiment and the numerical simulation showed that a large number of periodic orbits can be stabilized by controlling the chaotic attractor. The transient state of the trajectory under control was demonstrated.

Chaos control and noise suppression in external-cavity semiconductor lasers

“…The relevance between the linear mode frequency and tIle intrinsic resonant frequency of the dynamical system has been studied and utilized to explain the dynaniical phenomena. ; the control of chaos, and accessing periodic osCinations in, the previous researches [18]- [21]. So one may naturally raise a question whether such mode frequencies can be used as the modulation frequency to stabilize chaos with a small modulation depth.…”

Metrology Based on Chaotic Semiconductor Lasers

“…In this chaotic system, we can easily design periodic orbits by appropriately choosing the system parameters and generate arbitrary waveform sequences in the laser output prior to chaotic states. These higher harmonic oscillations are used for the applications of chaotic associative memory (Liu and Ohtsubo 1992b, 1993, 1994b. x(t)…”