Universal dynamics of spatiotemporal entrainment with phase symmetry

Jorge Palacio Mizrahi, Danny Zilberg, Omri Gat*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageAmerican English
Article number014120
JournalPhysical Review E
Issue number1
StatePublished - Jul 2023

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©2023 American Physical Society.


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