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

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...

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Veröffentlicht in:	Zeitschrift für angewandte Mathematik und Physik 2016-03, Vol.67 (1), p.1-14, Article 2
Hauptverfasser:	Dantas, Márcio José Horta, Sampaio, Rubens, Lima, Roberta
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of mathematics Dynamical systems Dynamics Engineering Mathematical Methods in Physics Orbital stability Orbits Perturbation theory Theoretical and Applied Mechanics
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Beschreibung
Zusammenfassung:	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.
ISSN:	0044-2275 1420-9039
DOI:	10.1007/s00033-015-0602-2