1-20 of 16827
Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Journal Articles
Journal Articles
Journal Articles
Journal Articles
Journal Articles
Image
Deterministic and stochastic solutions to Duffing's Eq.  (18)  with paramet...
Published Online: July 28, 2022
Fig. 1 Deterministic and stochastic solutions to Duffing's Eq. (18) with parameters (19) : ( a ) frequency response of the deterministic limit of system (18) and ( b ) comparison of the computed variances (12) with variances computed from 10 4 Euler–Maruyama approximations of Eq. (18) ( ... More
Image
Deterministic and stochastic solutions to Duffing's Eq.  (18)  with paramet...
Published Online: July 28, 2022
Fig. 2 Deterministic and stochastic solutions to Duffing's Eq. (18) with parameters (19) : ( a ) SNI-algorithm 1 with τ = T ∕5 and ( b ) SNI-algorithm 1 with τ = T More
Image
Convergence analysis for the Duffing Eq.  (18)  with parameters  (19) : ( a...
Published Online: July 28, 2022
Fig. 3 Convergence analysis for the Duffing Eq. (18) with parameters (19) : ( a ) convergence of the SNI 1 for varying step size τ and ( b ) Convergence of the Euler–Maruyama approximation for varying step size τ More
Image
Image
Image
Comparisons of computed probability density function with the proposed Gaus...
Published Online: July 28, 2022
Fig. 6 Comparisons of computed probability density function with the proposed Gaussian kernel approximation (27) and Monte Carlo sampling for different sample sizes for Duffing's Eq. (18) with parameters (19) More
Image
Relative error of Gaussian kernel approximation  (27)  and Monte Carlo appr...
Published Online: July 28, 2022
Fig. 7 Relative error of Gaussian kernel approximation (27) and Monte Carlo approximation for Duffing's Eq. (18) with parameters (19) More
Image
Comparison of the computed probability density function via the proposed Ga...
Published Online: July 28, 2022
Fig. 8 Comparison of the computed probability density function via the proposed Gaussian kernel approximation (GKA) (27) and Monte Carlo sampling at the uncoupled limit for the oscillator array (24) with parameters (25) and a sample size of 10 5 More
Image
Distances of samples to the four stable periodic orbits of the oscillator a...
Published Online: July 28, 2022
Fig. 9 Distances of samples to the four stable periodic orbits of the oscillator array (24) with localized modes after 100 periods More
Image
Image
Gyroscope with different stabilization parameters  β  the position ( a ), v...
Published Online: June 22, 2022
Fig. 2 Gyroscope with different stabilization parameters β the position ( a ), velocity ( b ), and acceleration ( c ) along the x -direction, calculated by RKC and ESERK integrators, compared to generalized- α integrator and verified by ADAMS model More
Image
Gyroscope with different stabilization parameters  β : the local rotational...
Published Online: June 22, 2022
Fig. 3 Gyroscope with different stabilization parameters β : the local rotational parameters calculated by RKC and ESERK integrators More
Image
Gyroscope with different stabilization parameters  β : the constraints calc...
Published Online: June 22, 2022
Fig. 4 Gyroscope with different stabilization parameters β : the constraints calculated by RKC and ESERK integrators, compared to generalized- α integrator More
Image
Gyroscope with different stabilization parameters  β : the derivative of co...
Published Online: June 22, 2022
Fig. 5 Gyroscope with different stabilization parameters β : the derivative of constraints calculated by RKC and ESERK integrators, compared to generalized- α integrator More
Image