Controlling Spatiotemporal Chaos in Optical Systems

Abstract

We investigate analytically and numerically a nonfeedback control technique for spatially extended systems. The method is suited for systems where some parameters can be modified. We apply the control scheme to a model used to describe vectorial transverse pattern formation in nonlinear optical systems, the Vector Complex Ginzburg–Landau Equation (VCGLE). Our scheme stabilizes a periodic regime where otherwise a chaotic regime is observed. We confirm by analytical calculation and direct simulation how this scheme, based in the use of a nonlinear diffraction term, stabilizes unstable polarized standing waves and linearly polarized traveling waves in a chaotic scenery.

Chaos control and circuit implementation of a class of double‐wing chaotic system

“…Many of the conventional chaotic systems, such as the Lorenz system, the Chua system, the Chen system, the Lü system, the Rössler chaotic system, and so forth, have been reported in many references. () In recent years, some new chaotic systems have been discovered, which present bigger Lyapunov exponent (LE) and stronger chaotic characteristics. () Meanwhile, some new chaos implementation techniques have been researched, including analog and digital circuits, which significantly increase the practicability of chaos theory.…”