Time-Dependent Circular Billiard
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-11
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We investigate a time-dependent circular billiard with a two-frequency driving function and derive a new simplified form for the map, which is a symplectic nontwist map.
Stability boundaries and reconnection thresholds are derived for fixed points and period-two vortex pairs.
An island interspersal condition is derived such that neighboring island chains of the first frequency are exactly separated by those of the second.
The results show a strong enhancement of the KAM barrier to chaotic diffusion with increasing second frequency content and overall amplitude.
American Psychological Association (APA)
Howard, J. E.. 2009. Time-Dependent Circular Billiard. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-10.
https://search.emarefa.net/detail/BIM-479137
Modern Language Association (MLA)
Howard, J. E.. Time-Dependent Circular Billiard. Mathematical Problems in Engineering No. 2009 (2009), pp.1-10.
https://search.emarefa.net/detail/BIM-479137
American Medical Association (AMA)
Howard, J. E.. Time-Dependent Circular Billiard. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-10.
https://search.emarefa.net/detail/BIM-479137
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479137
