Resonance and limit cycle in a noise driven Lorenz model

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The effect of an external noise on the Lorenz model is investigated near the onset of convection and near the Hopf bifurcation. We show the existence of a diverging time scale near the onset of convection and a resonance near the Hopf bifurcation. Our calculation provides an understanding of the noise induced stabilization of the limit cycle that had been observed numerically.
4 pages, one fig

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/167920

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.3956
 http://arxiv.org/abs/0808.3956

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arXiv