Phase control of intermittency in dynamical systems

Year: 2006

Authors: Zambrano S., Marino I.P., Salvadori F., Meucci R., Sanjuan M.A.F., Arecchi F.T.

Autors Affiliation: Nonlinear Dynamics and Chaos Group, Departamento de Ciencias de la Naturaleza y Fisica Aplicada, Universidad Rey Juan Carlos, Tulipan s/n, 28933 Mostoles, Madrid, Spain;
Department of Physics, Università di Firenze, Italy;
CNR-Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: We present a nonfeedback method to tame or enhance crisis-induced intermittency in dynamical systems. By adding a small harmonic perturbation to a parameter of the system, the intermittent behavior can be suppressed or enhanced depending on the value of the phase difference between the main driving and the perturbation. The validity of the method is shown both in the model and in an experiment with a CO2 laser. An analysis of this scheme applied to the quadratic map near crisis illustrates the role of phase control in nonlinear dynamical systems.

Journal/Review: PHYSICAL REVIEW E

Volume: 74 (1)      Pages from: 016202-1  to: 016202-8

KeyWords: Carbon dioxide; Gas lasers; Harmonic analysis; Perturbation techniques; Phase control; Systems analysis, Dynamical systems; Phase difference; Quadratic map, Nonlinear systems
DOI: 10.1103/PhysRevE.74.016202

Citations: 12
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