IMPLEMENTATION OF A SPLAY STATE BASED ON THE AMPLITUDE ENVELOPES
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United States of America Patent
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Jun 6, 2024
app pub date -
Jun 16, 2023
filing date -
Oct 24, 2022
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Abstract
An implementation for a splay state based on amplitude envelopes in the coupled oscillator system includes introducing a heterogeneous oscillator into the globally coupled identical oscillator network, when the frequency mismatch and repulsive coupling strength of the coupled heterogeneous oscillator system satisfy a certain relationship, the time series of the coupled oscillator will modulate an amplitude envelope, which can realize the generation of splay states between the amplitude envelopes of the identical oscillators except for the heterogeneous oscillator; applying the polar coordinate transformation and perturbation analysis in the condition of small coupling strength, it is easy to obtain the evolution equation of the amplitude envelope from the coupled heterogeneous oscillators. Solving the evolution equation of the amplitude envelope, the average amplitude, amplitude, and other parameters of the amplitude envelope in the splay state can be theoretically determined.
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