1. Date of download: 11/7/2017
Copyright © ASME. All rights reserved.
From: Modified Path Integral Solution of Fokker–Planck Equation: Response and Bifurcation of Nonlinear Systems
J. Comput. Nonlinear Dynam. 2009;5(1): doi: /
Figure Legend:
(a) Joint PDF of displacement and velocity. Linear and logarithmic plots of the marginal PDF of (b) displacement and (c) velocity for self-excited oscillator (—) exact results; (○○○○○) PI with non-Gaussian transition PDF; (◻◻◻◻◻) PI with Gaussian transition PDF; ( ⋆⋆⋆⋆) FEM

2. Date of download: 11/7/2017
Copyright © ASME. All rights reserved.
From: Modified Path Integral Solution of Fokker–Planck Equation: Response and Bifurcation of Nonlinear Systems
J. Comput. Nonlinear Dynam. 2009;5(1): doi: /
Figure Legend:
Linear and logarithmic plots of the marginal PDF of (a) displacement and (b) velocity for Dimentberg (I) oscillator; key as in Fig.

3. Date of download: 11/7/2017
Copyright © ASME. All rights reserved.
From: Modified Path Integral Solution of Fokker–Planck Equation: Response and Bifurcation of Nonlinear Systems
J. Comput. Nonlinear Dynam. 2009;5(1): doi: /
Figure Legend:
Linear and logarithmic plots of the marginal PDF of (a) displacement and (b) velocity for Dimentberg (II) oscillator; (—) MCS results; (○○○○○) PI with non-Gaussian transition PDF; (◻◻◻◻◻) PI with Gaussian transition PDF; ( ⋆⋆⋆⋆) FEM

4. Date of download: 11/7/2017
Copyright © ASME. All rights reserved.
From: Modified Path Integral Solution of Fokker–Planck Equation: Response and Bifurcation of Nonlinear Systems
J. Comput. Nonlinear Dynam. 2009;5(1): doi: /
Figure Legend:
Joint PDF of Duffing oscillator (β=0.05, λ=0.3, F=0.2, ω=1.2): (a) D=0.002 and (b) D=0.01

5. Date of download: 11/7/2017
Copyright © ASME. All rights reserved.
From: Modified Path Integral Solution of Fokker–Planck Equation: Response and Bifurcation of Nonlinear Systems
J. Comput. Nonlinear Dynam. 2009;5(1): doi: /
Figure Legend:
Joint PDF of Duffing oscillator (β=0.05, λ=0.3, F=0.2, D=0.004): (a) ω=1.3 and (b) ω=1.1

6. Date of download: 11/7/2017
Copyright © ASME. All rights reserved.
From: Modified Path Integral Solution of Fokker–Planck Equation: Response and Bifurcation of Nonlinear Systems
J. Comput. Nonlinear Dynam. 2009;5(1): doi: /
Figure Legend:
Joint PDF of Duffing oscillator (β=0.05, λ=0.3, ω=1.2, D=0.004): (a) F=0.3 and (b) F=0.15