Stabilization of quasiperiodic orbits for line-coupled diode resonator systems

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Abstract
Chaotic transitions in line-coupled diode resonator systems were experimentally found to follow the Curry-Yorke model. [The Structure of Attractors in Dynamical Systems (Springer, Berlin, 1977), p. 48]. The standard diode model from the computer program spice was used to simulate these systems; the complete Lyapunov spectra from simulated systems are in good agreement with the spectra computed from the experimental time series. By applying the proportional-feedback technique to these systems, we can stabilize periodic orbits of increasing periods as well as unstable quasiperiodic orbits densely covering a torus.

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