Experimental control of chaos in a delayed high-dimensional system
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Florence, Italy
Published online: 15 August 1999
We introduce a novel control method for a delayed dynamical system exhibiting high-dimensional chaos. The control is based on a negative feedback loop with an adaptive filtering, consisting of a selective filter, centered at the frequency of the orbit to be stabilized, with the addition of a time derivative correction. The validity of the method is also discussed in the framework of a space-like representation adopted to study the analogies between delayed dynamical systems and spatially extended systems.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps / 42.55.Lt – Gas lasers including excimer and metal-vapor lasers
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999