Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session K47: Spatio-Temporal Pattern Formation
8:00 AM–10:24 AM,
Wednesday, March 7, 2018
LACC Room: 507
Sponsoring Units: GSNP DFD
Chair: Mary Silber, University of Chicago
Abstract: K47.00007 : The Saturation Bifurcation in Coupled Oscillators
9:12 AM–9:24 AM
We examine examples of weakly nonlinear systems whose steady states undergo a bifurcation with increasing forcing, such that a forced subsystem abruptly ceases to absorb additional energy, instead diverting it into an initially quiescent, unforced subsystem. We derive and numerically verify analytical predictions for the existence and behavior of such saturated states for a class of oscillator pairs. We also examine related phenomena, including zero-frequency response to periodic forcing, Hopf bifurcations to quasiperiodicity, and bifurcations to periodic behavior with multiple frequencies.
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