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Published on: June 29, 2018
Universal dynamics of spatiotemporal entrainment with phase symmetry
Jorge Palacio Mizrahi1, Danny Zilberg1, Omri Gat1
1The Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem 9190401, Israel.
Abstract:
We study the entrainment of a localized pattern to an external signal via its coupling to zero modes associated with broken symmetries. We show that when the pattern breaks internal symmetries, entrainment is governed by a multiple degrees-of-freedom dynamical system that has a universal structure, defined by the symmetry group and its breaking. We derive explicitly the universal locking dynamics for entrainment of patterns breaking internal phase symmetry, and calculate the locking domains and the stability and bifurcations of entrainment of complex Ginzburg-Landau solitons by an external pulse.
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