Title Reinventing the wheel: The chaotic sandwheel
Authors Tongen, Anthony, Thelwell, Roger J., BECERRA ALONSO, DAVID, BECERRA ALONSO, DAVID
External publication No
Means Am. J. Phys.
Scope Article
Nature Científica
JCR Quartile 3
SJR Quartile 2
JCR Impact 0.80400
SJR Impact 0.62400
Area International
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
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