Traveling-wave solutions in continuous chains of unidirectionally coupled oscillators

被引：0
|
作者：
Glyzin, S. D. [1 ,2 ]
Kolesov, A. Yu [1 ]
Rozov, N. Kh [3 ]
机构：
[1] Yarostavl State Univ, Fac Math, Sovetskaya Str 14, Yaroslavl 150000, Russia
[2] RAS, Sci Ctr Chernogolovka, Lesnaya Str 9, Chernogolovka 142432, Moscow Region, Russia
[3] Moscow MV Lomonosov State Univ, Fac Mech & Math, Main Bldg, Moscow 119991, Russia
来源：
VI INTERNATIONAL CONFERENCE PROBLEMS OF MATHEMATICAL PHYSICS AND MATHEMATICAL MODELLING | 2017年 / 937卷
基金：
俄罗斯科学基金会;
关键词：
D O I：
10.1088/1742-6596/937/1/012015
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
Proposed is a mathematical model of a continuous annular chain of unidirectionally coupled generators given by certain nonlinear advection-type hyperbolic boundary value problem. Such problems are constructed by a limit transition from annular chains of unidirectionally coupled ordinary differential equations with an unbounded increase in the number of links. It is shown that any preassigned finite number of stable periodic motions of the traveling-wave type can coexist in the model.
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页数：11
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