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• W2783013732 abstract "We synthesize a feedback for a fully connected network of identical Lienard-type oscillators such that the phase-balanced equilibrium — the mode where the centroid of the coupled oscillators in polar coordinates is at the origin — is asymptotically stable, and the phase-synchronized equilibrium is unstable. Our approach hinges on a coordinate transformation of the oscillator dynamics to polar coordinates, and periodic averaging theory to simplify the examination of multiple time-scale behavior. Using Lyapunov- and linearization-based arguments, we demonstrate that the oscillator dynamics have the same radii and balanced phases in steady state for a large set of initial conditions. Numerical simulation results are presented to validate the analyses." @default.
• W2783013732 created "2018-01-26" @default.
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• W2783013732 date "2017-12-01" @default.
• W2783013732 modified "2023-09-24" @default.
• W2783013732 title "Phase balancing in globally connected networks of Liénard oscillators" @default.
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• W2783013732 doi "https://doi.org/10.1109/cdc.2017.8263726" @default.
• W2783013732 hasPublicationYear "2017" @default.
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