Experimental control of chaos by means of weak parametric perturbations

The control of chaos: theory and applications

“…Control of chaos was realized by means of weak parametric perturbations [175], negative feedback of subharmonic components [171,176,177], proportional feedback with delay [178], addition of a weak second periodic signal in a modulated multimode laser [179}181]. Other recent experiments in lasers are reported in Refs.…”

Controlling spatio-temporal chaos in the scenario of the one-dimensional complex Ginzburg–Landau equation

“…Furthermore, experimental control of chaos has been achieved in many different areas such as chemistry (Petrov et al, 1993), laser physics (Roy et al 1992, Meucci et al 1994, Meucci et al 1996, electronic circuits (Hunt, 1991), and mechanical systems (Ditto et al, 1990).…”

Control and Identification of Chaotic Systems by Altering the Oscillation Energy

“…Typically, this method can require as many control forces, as there are dimensions of the system. In contrast, there are many examples of converting chaos to a periodic motion by exposing a system to only one, weak periodic force or weak parameter modulation (Alexeev & Loskutov, 1987;Braiman & Goldhirsch, 1991;Cao, 2005;Chacón, 1996;Chacón & Díaz Bejarano, 1993;Chizhevsky & Corbalán, 1996;Chizhevsky et al, 1997;Dangoisse et al, 1997;Fronzoni et al, 1991;Kivshar et al, 1994;Lima & Pettini, 1990;Liu & Leite, 1994;Meucci et al, 1994;Qu et al, 1995;Ramesh & Narayanan, 1999;Rödelsperger et al, 1995;Tereshko & Shchekinova, 1998). Typically, this approach utilizes only a period and an amplitude of perturbation (Alexeev & Loskutov, 1987;Braiman & Goldhirsch, 1991;Kivshar et al, 1994;Lima & Pettini, 1990;Liu & Leite, 1994;Ramesh & Narayanan, 1999).…”