Motion Switching and Chaos of a Particle in a Generalized Fermi-Acceleration Oscillator
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-40, 40 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-04-27
Country of Publication
Egypt
No. of Pages
40
Main Subjects
Abstract EN
Dynamic behaviors of a particle (or a bouncing ball) in a generalized Fermi-acceleration oscillator are investigated.
The motion switching of a particle in the Fermi-oscillator causes the complexity and unpredictability of motion.
Thus, the mechanism of motion switching of a particle in such a generalized Fermi-oscillator is studied through the theory of discontinuous dynamical systems, and the corresponding analytical conditions for the motion switching are developed.
From solutions of linear systems in subdomains, four generic mappings are introduced, and mapping structures for periodic motions can be constructed.
Thus, periodic motions in the Fermi-acceleration oscillator are predicted analytically, and the corresponding local stability and bifurcations are also discussed.
From the analytical prediction, parameter maps of periodic and chaotic motions are achieved for a global view of motion behaviors in the Fermi-acceleration oscillator.
Numerical simulations are carried out for illustrations of periodic and chaotic motions in such an oscillator.
In existing results, motion switching in the Fermi-acceleration oscillator is not considered.
The motion switching for many motion states of the Fermi-acceleration oscillator is presented for the first time.
This methodology will provide a useful way to determine dynamical behaviors in the Fermi-acceleration oscillator.
American Psychological Association (APA)
Luo, A. C. J.& Guo, Y.. 2009. Motion Switching and Chaos of a Particle in a Generalized Fermi-Acceleration Oscillator. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-40.
https://search.emarefa.net/detail/BIM-461550
Modern Language Association (MLA)
Luo, A. C. J.& Guo, Y.. Motion Switching and Chaos of a Particle in a Generalized Fermi-Acceleration Oscillator. Mathematical Problems in Engineering No. 2009 (2009), pp.1-40.
https://search.emarefa.net/detail/BIM-461550
American Medical Association (AMA)
Luo, A. C. J.& Guo, Y.. Motion Switching and Chaos of a Particle in a Generalized Fermi-Acceleration Oscillator. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-40.
https://search.emarefa.net/detail/BIM-461550
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461550