Some Results on Simple Dynamo Systems

F. Lusseyran (1) , J P Brancher (1)

1 LPM - Laboratoire de physique des matériaux

A homopolar dynamo for producing current impulses is described. Following the idea of Rioux (1964) and using the Moffatt's model (1979), the equations satisfied by the currents and the velocity are studied. The changing of variables and time scales to pass from one model to the other, and to the Lorenz's model if possible, are given. Finally, the trajectories of dynamo systems are analyzed in different phase spaces. The aim of this is to study the reliability of the topological analysis of. a signal delivered by different equivalent systems, embedded into different phase spaces. The topological properties of an experimental signal in a pseudo-phase space obtained by delaying the response can give information, particularly on the number of variables necessary to describe a complicated phenomenon.

Mots clés: bifurcation theory; attractors; Homopolar dynamo

Domaines: Dynamique Chaotique [nlin.CD]; Dynamique des Fluides [physics.flu-dyn]

F. Lusseyran, J P Brancher. Some Results on Simple Dynamo Systems. IEEE Transactions on Magnetics, 1990, 26, ⟨10.1109/20.104900⟩. ⟨hal-01644533⟩