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Abstract
The stochastic averaging method for a quasi-integrable Hamiltonian system has been applied to the study of the motion of active Brownian particles. Firstly, the stochastic averaging method is introduced. Then, the stationary solution of the dynamic equations governing an active Brownian particle moving in a plane with Schienbein-Gruler velocity-dependent friction model subject to Guassian white noise excitation is obtained by using this method. The solution is proved validated by comparison with the results from digital simulation and those from experiment. Finally, the solutions for the Rayleigh and Erdamnn model are also given.

Keywords:
active Brownian particle/

stochastic averaging method for quasi-integrable Hamiltonian system/

inegrability/

stationary solution
Authors and contacts
Deng Mao-Lin³,

Hong Ming-Chao²,

Zhu Wei-Qiu¹,

Wang Yuan-Mei³
References

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Vol. 53, Issue 7 - 2004-04-05

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