Title |
Reinventing the wheel: The chaotic sandwheel |
Authors |
Tongen, Anthony , Thelwell, Roger J. , BECERRA ALONSO, DAVID |
External publication |
No |
Means |
Am. J. Phys. |
Scope |
Article |
Nature |
Científica |
JCR Quartile |
3 |
SJR Quartile |
2 |
JCR Impact |
0.804 |
SJR Impact |
0.624 |
Web |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84873027668&doi=10.1119%2f1.4768893&partnerID=40&md5=4032d0db6610452c0422f45933eb006b |
Publication date |
01/02/2013 |
ISI |
000313958900009 |
Scopus Id |
2-s2.0-84873027668 |
DOI |
10.1119/1.4768893 |
Abstract |
The Malkus chaotic waterwheel, a tool to mechanically demonstrate Lorenzian dynamics, motivates the study of a chaotic sandwheel. We model the sandwheel in parallel with the waterwheel when possible, noting where methods may be extended and where no further analysis seems feasible. Numerical simulations are used to compare and contrast the behavior of the sandwheel with the waterwheel. Simulations confirm that the sandwheel retains many of the elements of chaotic Lorenzian dynamics. However, bifurcation diagrams show dramatic differences in where the order-chaos-order transitions occur. (C) 2013 American Association of Physics Teachers. [http://dx.doi.org/10.1119/1.4768893] |
Keywords |
bifurcation; chaos; numerical analysis; physics education |
Universidad Loyola members |
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