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Nonlinear Response of Optogalvanic F' ractal and Its Application to Signal Processing

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For a frequency locking system with the devil's staircase structure, between the two frequency locking states there embeds an almost infinite number of states whose periodicities could be specified by the Farey tree. Since the range between two specific states is usually small, such a fractal system may be utilized as a generating source of signals with specific periodicity without greatly modifying the system parameters. On the other hand, due to its nonlinear response to external perturbations, a fractal system may be tuned to act as a detector for a variety of weak periodic signals. These two potential applications are investigated and experimentally demonstrated in a He-Ne laser optogalvanic system.

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