Synchronization of oscillators arising from second-order, and higher, nonlinear couplings

被引：6
|
作者：
Wood, Connor J. [1 ,2 ]
Camley, Robert E. [1 ,2 ]
机构：
[1] Univ Colorado Colorado Springs, UCCS Biofrontiers Ctr, 1420 Austin Bluffs Pkwy, Colorado Springs, CO 80918 USA
[2] Univ Colorado Colorado Springs, Dept Phys, 1420 Austin Bluffs Pkwy, Colorado Springs, CO 80918 USA
来源：
NONLINEAR DYNAMICS | 2022年 / 108卷 / 01期
关键词：
Synchronization; Nonlinear coupling; Phase synchronization; Perturbation; Kuramoto model; Aronson model; Arnold tongue; LAYERED MAGNETIC-STRUCTURES; MODEL;
D O I：
10.1007/s11071-022-07232-w
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
We explore a system of two coupled nonlinear pendula, with the lowest-order coupling term being quadratic, rather than the more typical linear coupling term. We show that synchronization can occur in this system, but with the synchronization frequency lying below either of the original independent frequencies, in contrast to the usual case where the synchronization frequency is between the two frequencies of the independent pendula. Both phase synchronization and amplitude synchronization are found, and one can have situations, for example, where phase synchronization exists, but not amplitude synchronization. We develop analytic formulas to understand the frequency synchronization.
引用
收藏
页码：597 / 611
页数：15
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