Resonance and limit cycle in a noise driven Lorenz model
Statistical Mechanics
2008-08-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0808.3956,
title = {Resonance and limit cycle in a noise driven Lorenz model},
author = {Himadri S. Samanta and J. K. Bhattacharjee},
journal= {arXiv preprint arXiv:0808.3956},
year = {2008}
}
Comments
4 pages, one fig