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Suppression of phase-locking chaos in long Josephson junctions by biharmonic microwave fields

Mario Salerno

DOI 10.1103/PhysRevB.44.2720 · Physical Review B

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Abstract

We consider the problem of phase locking of fluxon oscillations in long Josephson junctions irradiated by an external microwave field consisting of two harmonic signals, one at frequency ω and the other at frequency ω/2 added together (biharmonic driver). The analysis is performed in terms of a two-dimensional map constructed in terms of the fluxon time of flight and fluxon’s energy inside the junction. As a result we find that the second driver enhances the stability of the phase-locking state and can be used to suppress the phase-locking chaos in the middle of the step induced by the first driver.

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