Multistability and Self-Similarity in the Parameter-Space of a Vibro-Impact System
Joint Authors
de Souza, Silvio L. T.
Caldas, Iberê L.
Viana, Ricardo L.
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-09-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The dynamics of a dissipative vibro-impact system called impact-pair is investigated.
This system is similar to Fermi-Ulam accelerator model and consists of an oscillating one-dimensional box containing a point mass moving freely between successive inelastic collisions with the rigid walls of the box.
In our numerical simulations, we observed multistable regimes, for which the corresponding basins of attraction present a quite complicated structure with smooth boundary.
In addition, we characterize the system in a two-dimensional parameter space by using the largest Lyapunov exponents, identifying self-similar periodic sets.
American Psychological Association (APA)
de Souza, Silvio L. T.& Caldas, Iberê L.& Viana, Ricardo L.. 2009. Multistability and Self-Similarity in the Parameter-Space of a Vibro-Impact System. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-460737
Modern Language Association (MLA)
de Souza, Silvio L. T.…[et al.]. Multistability and Self-Similarity in the Parameter-Space of a Vibro-Impact System. Mathematical Problems in Engineering No. 2009 (2009), pp.1-11.
https://search.emarefa.net/detail/BIM-460737
American Medical Association (AMA)
de Souza, Silvio L. T.& Caldas, Iberê L.& Viana, Ricardo L.. Multistability and Self-Similarity in the Parameter-Space of a Vibro-Impact System. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-11.
https://search.emarefa.net/detail/BIM-460737
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460737
