A Wiener Path Integral Method for Non-Stationary Response Determination of Nonlinear Oscillators Under Random Loading

An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2011.08.022 ◽

2012 ◽

Vol 28 ◽

pp. 125-131 ◽

Cited By ~ 82

Author(s):

I.A. Kougioumtzoglou ◽

P.D. Spanos

Keyword(s):

Path Integral ◽

Nonlinear Oscillators ◽

Stationary Response ◽

Integral Technique ◽

A Wiener Path Integral Technique for Non-Stationary Response Determination of Nonlinear Oscillators with Fractional Derivative Elements

Vulnerability, Uncertainty, and Risk ◽

10.1061/9780784413609.192 ◽

2014 ◽

Author(s):

A. Di Matteo ◽

M. Di Paola ◽

I. A. Kougioumtzoglou ◽

A. Pirrotta ◽

P. D. Spanos

Keyword(s):

Fractional Derivative ◽

Path Integral ◽

Nonlinear Oscillators ◽

Stationary Response ◽

Integral Technique ◽

Proceedings of the 1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2015) ◽

PATH INTEGRAL METHOD FOR FIRST-PASSAGE PROBABILITY DETERMINATION OF NONLINEAR SYSTEMS UNDER LEVY WHITE NOISE

10.7712/120215.4277.730 ◽

2015 ◽

Author(s):

Christian Bucher ◽

Alberto Di Matteo ◽

Mario Di Paola ◽

Antonina Pirrotta

Keyword(s):

Nonlinear Systems ◽

White Noise ◽

Path Integral ◽

Integral Method ◽

First Passage ◽

Lévy White Noise ◽

First Passage Probability ◽

Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2014.07.001 ◽

2014 ◽

Vol 38 ◽

pp. 127-135 ◽

Cited By ~ 56

Author(s):

Alberto Di Matteo ◽

Ioannis A. Kougioumtzoglou ◽

Antonina Pirrotta ◽

Pol D. Spanos ◽

Mario Di Paola

Keyword(s):

Path Integral ◽

Fractional Derivatives ◽

Nonlinear Oscillators ◽

Stochastic Response ◽

Path Integral Method in the Mean-field Model for the Magnetic Vector Potential

Geomagnetism and Aeronomy ◽

10.1134/s0016793220070300 ◽

2020 ◽

Vol 60 (7) ◽

pp. 989-992

Author(s):

E. V. Yushkov ◽

C. R. Kamaletdinov ◽

D. D. Sokoloff

Keyword(s):

Path Integral ◽

Vector Potential ◽

Integral Method ◽

Field Model ◽

Mean Field ◽

Magnetic Vector Potential ◽

Magnetic Vector ◽

Mean Field Model ◽

The Mean ◽

Source Apportionment of the Anthropogenic Increment to Ozone, Formaldehyde, and Nitrogen Dioxide by the Path-Integral Method in a 3D Model

Environmental Science & Technology ◽

10.1021/acs.est.5b00467 ◽

2015 ◽

Vol 49 (11) ◽

pp. 6751-6759 ◽

Cited By ~ 9

Author(s):

Alan M. Dunker ◽

Bonyoung Koo ◽

Greg Yarwood

Keyword(s):

Nitrogen Dioxide ◽

Source Apportionment ◽

Path Integral ◽

Integral Method ◽

3D Model ◽

Theoretical study on second hyperpolarizability of H3+ system by path integral method

Synthetic Metals ◽

10.1016/s0379-6779(97)80194-4 ◽

1997 ◽

Vol 85 (1-3) ◽

pp. 1159-1160 ◽

Cited By ~ 2

Author(s):

H. Nagao ◽

M. Nakano ◽

S. Yamada ◽

K. Ohta ◽

K. Yamaguchi

Keyword(s):

Path Integral ◽

Integral Method ◽

Theoretical Study ◽

Second Hyperpolarizability ◽

An analysis of quantum effects on the thermodynamic properties of cryogenic hydrogen using the path integral method

The Journal of Chemical Physics ◽

10.1063/1.4870036 ◽

2014 ◽

Vol 140 (13) ◽

pp. 134506 ◽

Cited By ~ 4

Author(s):

H. Nagashima ◽

S. Tsuda ◽

N. Tsuboi ◽

M. Koshi ◽

K. A. Hayashi ◽

...

Keyword(s):

Thermodynamic Properties ◽

Path Integral ◽

Integral Method ◽

Quantum Effects ◽

Ideal and physical barrier problems for non-linear systems driven by normal and Poissonian white noise via path integral method

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2016.01.008 ◽

2016 ◽

Vol 81 ◽

pp. 274-282 ◽

Cited By ~ 8

Author(s):

Mario Di Paola ◽

Christian Bucher

Keyword(s):

White Noise ◽

Linear Systems ◽

Path Integral ◽

Integral Method ◽

Physical Barrier ◽

Non Linear ◽

Non Linear Systems ◽

Path Integral Method ◽

Barrier Problems

The quantum bouncer by the path integral method

American Journal of Physics ◽

10.1119/1.16673 ◽

1991 ◽

Vol 59 (10) ◽

pp. 924-930 ◽

Cited By ~ 12

Author(s):

D. A. Goodings ◽

T. Szeredi

Keyword(s):

Path Integral ◽

Integral Method ◽