Tongen, Anthony , Thelwell, Roger J. , BECERRA ALONSO, DAVID

No

Am. J. Phys.

Article

Científica

✗

✗

0.804

0.624

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84873027668&doi=10.1119%2f1.4768893&partnerID=40&md5=4032d0db6610452c0422f45933eb006b

01/02/2013

000313958900009

2-s2.0-84873027668

10.1119/1.4768893

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]

bifurcation; chaos; numerical analysis; physics education

• DAVID BECERRA ALONSO