Existence of Periodic Solutions of a Third-Order Nonlinear System

被引：0

作者：

Fomichev, V. V. ^{[1
,2
]}

Il'in, A., V ^{[2
]}

Rogovskiy, A., I ^{[2
]}

Begishev, R. R. ^{[2
]}

Mitrev, R. P. ^{[3
]}

Todorov, T. S. ^{[3
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou, Peoples R China

[2] Lomonosov Moscow State Univ, Moscow 119991, Russia

[3] Tech Univ, Sofia 1000, Bulgaria

来源：

DIFFERENTIAL EQUATIONS | 2021年 / 57卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/S0012266121100098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a nonlinear autonomous third-order ODE system depending on numerical parameters and describing the motions of an energy harvester that converts residual thermal energy into electrical energy. For the correct operation of the harvester, it is necessary that this system have a periodic solution; therefore, the problem is to find system parameters for which there exists such a solution. The problem is solved by the small parameter method.

引用

页码：1341 / 1357

页数：17

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