6533b859fe1ef96bd12b87c4

RESEARCH PRODUCT

Non-linear systems under Levy White Noise Handled by path integration method

Mario Di PaolaAntonina PirrottaR Iwankiewicz

subject

Path Integration methodEinstein-Smoluchowsky (ES) equationα-stable white noiseSettore ICAR/08 - Scienza Delle Costruzioni

description

Aim of this paper is an investigation on the consistency of the Path Integration (PI) method already proposed by Naess & Johansen, 1991,1993 for non-linear systems driven by α-stable white noise. It is shown that in the limit, as τ→0, the Einstein-Smoluchowsky (ES) equation is fully restored. Once the consistency of the PI is demonstrated for the half oscillator, then the extension of the ES equation for MDOF system is found starting from the PI method.

yearjournalcountryeditionlanguage
2009-01-01
http://hdl.handle.net/10447/42160