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nlin.AO2016★ 17 cited
Symmetry-broken states on networks of coupled oscillators
Xin Jiang, Daniel M. Abrams
When identical oscillators are coupled together in a network, dynamical steady states are often assumed to reflect network symmetries. Here we show that alternative persistent stat…
nlin.AO2013★ 17 cited
Nonlinear Oscillations and Bifurcations in Silicon Photonic Microresonators
Daniel M. Abrams, Alex Slawik, Kartik Srinivasan
Silicon microdisks are optical resonators that can exhibit surprising nonlinear behavior. We present a new analysis of the dynamics of these resonators, elucidating the mathematica…