Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
783738 | International Journal of Non-Linear Mechanics | 2013 | 10 Pages |
Abstract
In this paper we get some results about the dynamics of a class of mechanical systems under strong dissipation. We have obtained the stability of the semi-trivial solutions in this class, its asymptotic expansion, and the existence of hyperbolic periodic orbits and their stability was analysed. From these results we have showed the existence of quenching in a particular case.
► Results on the dynamics of mechanical systems under strong dissipation are obtained. ► The problems are approached by using singular perturbation theory. ► A new result on asymptotic expansions is obtained. ► It is obtained a rigorous result on quenching of a class of mechanical systems.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Márcio José Horta Dantas,