论文标题
时空夹带的通用动力学与相对称
Universal dynamics of spatiotemporal entrainment with phase symmetry
论文作者
论文摘要
我们通过外部信号通过其耦合到与损坏的对称性相关的零模式来研究局部模式的夹带。我们表明，当内部对称性被打破时，夹带由多度锁定动力学系统的多度控制，该系统具有由内部对称组及其破裂定义的通用结构。我们明确地得出了打破内相对称性的模式的夹带的通用锁定动力学，并计算锁定域和夹带结构，以示例复杂的 - 金吉堡 - 兰道孤子。
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.
