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Article Dans Une Revue Magnetohydrodynamics c/c of Magnitnaia Gidrodinamika Année : 2006

Intermittency in the homopolar disk-dynamo

Résumé

We study a modified Bullard dynamo and show that this system is equivalent to a nonlinear oscillator subject to a multiplicative noise. The stability analysis of this oscillator is performed. Two bifurcations are identified, first towards an \lq\lq intermittent\rq\rq state where the absorbing (non-dynamo) state is no more stable but the most probable value of the amplitude of the oscillator is still zero and secondly towards a \lq\lq turbulent\rq\rq (dynamo) state where it is possible to define unambiguously a (non-zero) most probable value around which the amplitude of the oscillator fluctuates. The bifurcation diagram of this system exhibits three regions which are analytically characterized.
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Dates et versions

hal-00005560 , version 1 (23-06-2005)
hal-00005560 , version 2 (24-07-2006)

Identifiants

Citer

Nicolas Leprovost, Bérengère Dubrulle, Franck Plunian. Intermittency in the homopolar disk-dynamo. Magnetohydrodynamics c/c of Magnitnaia Gidrodinamika, 2006, 42 (2/3), pp.131. ⟨hal-00005560v2⟩
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