Abstract
We consider the following Langevin equation with two dimensional driven damped dynamical system (2-D DDDS)1
where Fw is Gaussian white noise which has the properties
where DF, is diffusion coefficient, S the Dirac delta function. Eq.(2) and (3) completely determines all of its statistical feature.
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References
Fang Jinqing, Generalized Farey Organization and The Effects of White Noise on Complexity in 2-D DDDS, to be submitted to Phys. Rev. A, 1989.
U. Parlitz and W. Lanterbom, Period-doubling Cascades and Devil’s Staircases of the Driven Van Der Pol Oscillator, Phys. Rev. A, 36: 1428 (1987).
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© 1989 Plenum Press, New York
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Fang, J. (1989). Effects of External Noise on Complexity in Two Dimensional Driven Damped Dynamical System. In: Abraham, N.B., Albano, A.M., Passamante, A., Rapp, P.E. (eds) Measures of Complexity and Chaos. NATO ASI Series, vol 208. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0623-9_31
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DOI: https://doi.org/10.1007/978-1-4757-0623-9_31
Publisher Name: Springer, Boston, MA
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