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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2004

On the stochastic pendulum with Ornstein-Uhlenbeck noise

Résumé

We study a frictionless pendulum subject to multiplicative random noise. Because of destructive interference between the angular displacement of the system and the noise term, the energy fluctuations are reduced when the noise has a non-zero correlation time. We derive the long time behavior of the pendulum in the case of Ornstein-Uhlenbeck noise by a recursive adiabatic elimination procedure. An analytical expression for the asymptotic probability distribution function of the energy is obtained and the results agree with numerical simulations. Lastly, we compare our method to other approximation schemes.
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Dates et versions

hal-00014888 , version 1 (05-10-2006)

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  • HAL Id : hal-00014888 , version 1

Citer

Kirone Mallick, Philippe Marcq. On the stochastic pendulum with Ornstein-Uhlenbeck noise. Journal of Physics A: Mathematical and Theoretical, 2004, 37, n° 17, pp.4769 - 4785. ⟨hal-00014888⟩
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