Universal dynamics of spatiotemporal entrainment with phase symmetry
Pattern Formation and Solitons
2023-08-02 v1 Optics
Abstract
We study the entrainment of a localized pattern by an external signal via its coupling to zero modes associated with broken symmetries. We show that when internal symmetries are broken, entrainment is governed by a multi-degree of freedom locking dynamical system that has a universal structure defined by the internal 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 entrainment structure for the example of complex-Ginzburg-Landau solitons.
Keywords
Cite
@article{arxiv.2210.00985,
title = {Universal dynamics of spatiotemporal entrainment with phase symmetry},
author = {Jorge Palacio Mizrahi and Danny Zilberg and Omri Gat},
journal= {arXiv preprint arXiv:2210.00985},
year = {2023}
}
Comments
11 pages, 5 figures