Traveling waves and compactons in phase oscillator lattices

被引：24

作者：

Ahnert, Karsten ^{[1
]}

Pikovsky, Arkady ^{[1
]}

机构：

[1] Univ Potsdam, Dept Phys, D-14476 Potsdam, Germany

来源：

CHAOS | 2008年 / 18卷 / 03期

关键词：

D O I：

10.1063/1.2955758

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study waves in a chain of dispersively coupled phase oscillators. Two approaches-a quasicontinuous approximation and an iterative numerical solution of the lattice equation-allow us to characterize different types of traveling waves: compactons, kovatons, solitary waves with exponential tails as well as a novel type of semicompact waves that are compact from one side. Stability of these waves is studied using numerical simulations of the initial value problem. (C) 2008 American Institute of Physics.

引用

页数：11

共 28 条

[1]

Abramowitz M., 1964, HDB MATH FUNCTIONS F, V55

[2]

[Anonymous], J APPL MECH TECH PHY

[3] ORDER FUNCTION AND MACROSCOPIC MUTUAL ENTRAINMENT IN UNIFORMLY COUPLED LIMIT-CYCLE OSCILLATORS [J].