Dynamical tracking of unstable periodic orbits

Abstract Tracking unstable periodic orbits and its stabilization by large periodic modulation of a control parameter are studied numerically in the Henon map and laser equations. Some important scaling relations linking the tracking range to the modulation amplitude and frequency are deduced. The results obtained with both models are compared. Experimental realization of dynamical tracking is demonstrated in a loss-driven CO 2 laser where cavity detuning or losses are periodically modulated.

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