6533b856fe1ef96bd12b2e0c

RESEARCH PRODUCT

Intermittency in the homopolar dynamo

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URL: http://www-spht.cea.fr/articles/s05/152 Rigas Jurmala, Rigas Jurmala, Latvia, June 27 - July 1st, 2005; 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 ``intermittent'' 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 ``turbulent'' (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.