Sentence examples for pattern of nonlinear from inspiring English sources

An inhomogeneous steady state pattern of nonlinear reaction diffusion equations with no-flux boundary conditions is usually computed by solving the corresponding time-dependent reaction diffusion equations using temporal schemes.

Open image in new window Fig. 9 Stress pattern of nonlinear static analysis (Rankine criterion).

Open image in new window Fig. 11 Stress pattern of nonlinear static analysis (Coulomb criterion).

Open image in new window Fig. 10 Stress pattern of nonlinear static analysis (maximum tensile stress).

In this study, the light diffraction of temporal focusing multiphoton excitation microscopy (TFMPEM) and the excitation patterning of nonlinear structured-illumination microscopy (NSIM) can be simultaneously and accurately implemented via a single high-resolution digital micromirror device.

The method is tested on three test problems namely spherical diffusion equation (linear), problem of computing a moving steep front (nonlinear) and problem of Turing patterns (system of nonlinear reaction diffusion equations).

With this nonlinear contribution, it can be seen how the patterning of the nonlinear evolution comes about.

Simple design formulas are proposed to determine the equivalent material properties of a multiholed plate that is completely perforated with closely spaced circular holes in a square or diagonal pattern by means of nonlinear finite-element method computations.

The relations between mental workload and decision-making reveal a complex pattern, with evidence of nonlinear relations.

The proposed failure warning system provides a failure warning by studying the patterns of measured nonlinear modulation components with respect to the fatigue crack growth.

Optical solitons as stable spatial patterns of complex nonlinear systems allow for the control of the diffraction of optical beams.