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Published in 2022 at "Chaos"
DOI: 10.1063/5.0093318
Abstract: We consider a variant of the mean-field model of coupled phase oscillators with uniform distribution of natural frequencies. By establishing correlations between the quenched disorder of intrinsic frequencies and coupling strength with both in- and…
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Keywords:
populations heterogenous;
oscillator populations;
partial locking;
phase oscillator ... See more keywords
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Published in 2023 at "Chaos"
DOI: 10.1063/5.0127306
Abstract: Chimeras occur in networks of coupled oscillators and are characterized by coexisting groups of synchronous oscillators and asynchronous oscillators. We consider a network formed from N equal-sized populations at equally spaced points around a ring.…
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Keywords:
oscillator populations;
ring oscillator;
chimeras ring;
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Published in 2018 at "Physical review letters"
DOI: 10.1103/physrevlett.120.264101
Abstract: We develop an approach for the description of the dynamics of large populations of phase oscillators based on "circular cumulants" instead of the Kuramoto-Daido order parameters. In the thermodynamic limit, these variables yield a simple…
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Keywords:
antonsen ansatz;
dynamics noisy;
populations beyond;
oscillator populations ... See more keywords