Автор:David Becerra Alonso Год: 2010 Издание:LAP Lambert Academic Publishing Страниц: 152 ISBN: 9783838358642 In 1972, W.V.R. Malkus invented and constructed the waterwheel that bears his name, along with a publication on toroidal convection that presents the same dynamics. The waterwheel''s dynamics closely resembles those of the well-known Lorenz system, and therefore can be viewed as its mechanical analogy. The physical waterwheel is simple in its conception, yet not completely intuitive in its performance. A constant flow of water pours in at the top bucket of a simple circular symmetrical waterwheel. Low amounts of incoming water make the wheel roll permanently in the same direction. As we quasi-stationarily increase the incoming flow, the waterwheel enters a chaotic regime where it reverses in an apparently unpredictable way. A further increase in the incoming flow makes the waterwheel return to a periodic state, this time oscillating back and forth at fixed intervals. This thesis aims to study the waterwheel where most publications to this date have focused on its simplified analogies....
