PDF Solution of non-linear systems driven by Poisson pulses with non-Gaussian distributed amplitude

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	PDF Solution of non-linear systems driven by Poisson pulses with non-Gaussian distributed amplitude
	Zhu, H. T.; Er, G. K.; Iu, V. P.; Kou, K. P.
	2012-05-01
Source Publication	International Journal of Computational Methods
ISSN	0020-7160, 1029-0265
Pages	1240018-1-1240018-10
Abstract	The probability density function (PDF) solution of the response is formulated for nonlinear systems under discrete Poisson impulse excitation. The PDF solution is gov-erned by the Kolmogorov–Feller (KF) equation, which is approximately solved by the exponential–polynomial closure (EPC) method. A Duffing oscillator is further investi-gated in the case of either Gaussian or non-Gaussian distributed amplitude of Poisson impulse to show the effectiveness of the EPC method in these cases. The numerical anal-ysis shows that the EPC method with the polynomial order being 6 presents a good result compared with the simulated result, even in the tails of the PDF of the oscillator response.
Keyword	Nonlinear probability density function stochastic process Poisson impulse
Language	英語English
The Source to Article	PB_Publication
PUB ID	8244
Document Type	Journal article
Collection	STANLEY HO EAST ASIA COLLEGE
Corresponding Author	Zhu, H. T.
Recommended Citation GB/T 7714	Zhu, H. T.,Er, G. K.,Iu, V. P.,et al. PDF Solution of non-linear systems driven by Poisson pulses with non-Gaussian distributed amplitude[J]. International Journal of Computational Methods, 2012, 1240018-1-1240018-10.
APA	Zhu, H. T.., Er, G. K.., Iu, V. P.., & Kou, K. P. (2012). PDF Solution of non-linear systems driven by Poisson pulses with non-Gaussian distributed amplitude. International Journal of Computational Methods, 1240018-1-1240018-10.
MLA	Zhu, H. T.,et al."PDF Solution of non-linear systems driven by Poisson pulses with non-Gaussian distributed amplitude".International Journal of Computational Methods (2012):1240018-1-1240018-10.

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