Intermittency in the homopolar disk-dynamo

6533b838fe1ef96bd12a50fb

RESEARCH PRODUCT

Intermittency in the homopolar disk-dynamo

Nicolas Leprovost Bérengère Dubrulle Franck Plunian

subject

[PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn]Bifurcations 05.40.-a; 05.10.Gg; 05.45.-a [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph][NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD]Fluid Dynamics (physics.flu-dyn)Multiplicative noise FOS: Physical sciences Physics - Fluid Dynamics Chaotic Dynamics (nlin.CD)Dynamo instability Nonlinear Sciences - Chaotic Dynamics [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]

description

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.

year	journal	country	edition	language
2006-01-01

https://hal.archives-ouvertes.fr/hal-00266132

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