Normally Hyperbolic Sets in Discontinuous Dry Friction Oscillator

Cassiano, Jeferson; Silva Lima, Mauricio Firmino; Fonseca, Andre

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Normally Hyperbolic Sets in Discontinuous Dry Friction Oscillator

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Author(s):	Cassiano, Jeferson ^[1] ; Silva Lima, Mauricio Firmino ^[1] ; Fonseca, Andre ^[2] Total Authors: 3
Affiliation:	^[1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09210580 Santo Andre, SP - Brazil ^[2] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09606070 Sao Bernardo Do Campo, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 25, n. 6 JUN 2015.
Web of Science Citations:	0
Abstract
In this paper, we study a four-parameters piecewise-smooth dry friction oscillator from Control theory. Using Filippov's convention, we prove the existence of a codimension-1 bifurcation which gives rise to a normally hyperbolic set composed by a family of attracting cylinders. This bifurcation exhibits interesting discontinuous oscillation phenomena. We also present consistent numerical simulations. (AU)

FAPESP's process:	07/06896-5 - Geometry of control, dynamical and stochastic systems
Grantee:	Luiz Antonio Barrera San Martin
Support Opportunities:	Research Projects - Thematic Grants

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