Universal dynamics of spatiotemporal entrainment with phase symmetry

作者：Jorge Palacio Mizrahi, Danny Zilberg, Omri Gat · 发表于：Physical review. E · 年份：2023 · DOI：10.1103/physreve.108.014120 · 被引用次数：3 · 研究领域：Nonlinear Dynamics and Pattern Formation、Advanced Fiber Laser Technologies、Nonlinear Photonic Systems

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.