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

被引：0
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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：
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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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