Title :
Controlling unstable periodic orbits in a nonlinear optical system: the Ikeda map
Author :
Alsing, P.M. ; Gavrielides, A. ; Kovanis, V.
Author_Institution :
Nonlinear Optics Center, Phillips Lab., Kirtland AFB, NM, USA
Abstract :
The concept of controlling chaos has become part of the lexicon of physicists and engineers dealing with chaotic nonlinear dynamical systems. The authors showed that by using small, judiciously applied perturbations the unstable periodic orbits, which are dense in a chaotic attractor, could be stabilized
Keywords :
nonlinear optics; optical chaos; perturbation theory; stability; Ikeda map; chaotic attractor; chaotic nonlinear dynamical systems; nonlinear optical system; optical chaos control; perturbations; unstable periodic orbit control; unstable periodic orbits; Chaos; Chemical lasers; Control systems; Dispersion; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear optics; Optical control; Optical pulse shaping; Orbits;
Conference_Titel :
Nonlinear Optics: Materials, Fundamentals, and Applications, 1994. NLO '94 IEEE
Conference_Location :
Waikoloa, HI
Print_ISBN :
0-7803-1473-5
DOI :
10.1109/NLO.1994.470856
