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Chaos in a Magnetic Pendulum Subjected to Tilted Excitation and Parametric Damping
Joint Authors
Kitio Kwuimy, C. A.
Belhaq, M.
Nataraj, C.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-05
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The effect of tilted harmonic excitation and parametric damping on the chaotic dynamics in an asymmetric magnetic pendulum is investigated in this paper.
The Melnikov method is used to derive a criterion for transition to nonperiodic motion in terms of the Gauss hypergeometric function.
The regular and fractal shapes of the basin of attraction are used to validate the Melnikov predictions.
In the absence of parametric damping, the results show that an increase of the tilt angle of the excitation causes the lower bound for chaotic domain to increase and produces a singularity at the vertical position of the excitation.
It is also shown that the presence of parametric damping without a periodic fluctuation can enhance or suppress chaos while a parametric damping with a periodic fluctuation can increase the region of regular motions significantly.
American Psychological Association (APA)
Kitio Kwuimy, C. A.& Nataraj, C.& Belhaq, M.. 2012. Chaos in a Magnetic Pendulum Subjected to Tilted Excitation and Parametric Damping. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1029622
Modern Language Association (MLA)
Kitio Kwuimy, C. A.…[et al.]. Chaos in a Magnetic Pendulum Subjected to Tilted Excitation and Parametric Damping. Mathematical Problems in Engineering No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-1029622
American Medical Association (AMA)
Kitio Kwuimy, C. A.& Nataraj, C.& Belhaq, M.. Chaos in a Magnetic Pendulum Subjected to Tilted Excitation and Parametric Damping. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1029622
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029622