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Intermittency in the homopolar dynamo
- Source :
- Proceedings of The 15th Riga and 6th PAMIR Conference on Fundamental and Applied MHD, Fundamental and Applied MHD, Fundamental and Applied MHD, 2005, Riga, France. pp.105-108, 15th Riga and 6th PAMIR International Conference, 15th Riga and 6th PAMIR International Conference, 2005, Riga, Latvia
- Publication Year :
- 2005
- Publisher :
- HAL CCSD, 2005.
-
Abstract
- 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.
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Proceedings of The 15th Riga and 6th PAMIR Conference on Fundamental and Applied MHD, Fundamental and Applied MHD, Fundamental and Applied MHD, 2005, Riga, France. pp.105-108, 15th Riga and 6th PAMIR International Conference, 15th Riga and 6th PAMIR International Conference, 2005, Riga, Latvia
- Accession number :
- edsair.dedup.wf.001..b6706f797960553bdcc5c4ef4457298e