Resonance and limit cycle in a noise driven Lorenz model

Details Resonance and limit cycle in a noise driven Lorenz model Resonance and limit cycle in a noise driven Lorenz model

2008-08-28

arxiv.org/abs/0808.3956v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, one fig

Scientific paper

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.

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