Existence and asymptotic stability of periodic orbits for a class of electromechanical systems: a perturbation theory approach

被引：0

作者：

Márcio José Horta Dantas

Rubens Sampaio

Roberta Lima

机构：

[1] UFU,Faculdade de Matemática

[2] PUC-Rio,Mechanical Engineering Department

来源：

Zeitschrift für angewandte Mathematik und Physik | 2016年 / 67卷

关键词：

34C25; 34D10; 70K20; 70K28; Electromechanical system; Periodic orbits; Stability; Asymptotic stability; Nonlinear dynamics; Perturbation theory;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this work a class of time-periodic electromechanical system is investigated. This system is nonhyperbolic. By using Regular Perturbation Theory, results on existence and stability of periodic orbits are obtained. Moreover, the dynamics of this system can be approached in a mathematically rigorous way. These results generalize previous ones obtained for autonomous electromechanical systems.

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