Sentence examples for example the nonlinear from inspiring English sources

In the simulation example, the nonlinear inferential feedback control strategy is shown to provide excellent control over copolymer properties, and is demonstrated to the robust to state initialization errors, disturbances and model mismatch.

For example, the nonlinear sine Klein-Gordon equation models a Josephson junction, the motion of rigid pendula attached to a stretched wire, and dislocations in crystals [17, 29 31].

For example, the nonlinear function G = log is used in all our experiments in Sections 6 and 7, then, G'(|y n |2) = 1/|y n |2, and G' '(|y n |2) = - 1/(|y n |2)2 can be substituted in (12) for the original FIVA iteration.

For example, the nonlinear phase accumulation represented by the B-integral is calculated to be reduced by a factor of 10 for a β B A ∼ 6.

Example 4.6 As the second example, consider the nonlinear fractional Schrodinger equation [36] i 0 C D t α u + 1 2 ∂ 2 u ∂ x 2 + | u | 2 u = 0, u ( x, 0 ) = e i x. (42).

In order to compare the performance of the proposed damage model, Drucker-Prager failure criterion is used as an example in the nonlinear TM damage model.

The three techniques are compared using two case studies, one of which is a benchmark example from the nonlinear control literature.

The new experiments grew out of work by many scientists over the last decade suggesting that in some respects, the electrical behavior of the interconnected neurons in a brain are another example of the "nonlinear dynamics" governing physical systems as varied as electronic circuitry, multiplanetary systems and dripping faucets.

An example of the nonlinear curvature of the ∆T-N relation in an AOGCM is denoted by the blue and red crosses in Fig. 4.

For example, for the nonlinear term in (10) and (11), we can first introduce auxiliary variables for all, and then replace the constraint (10) and (11) with the linear constraints as follows: (24).

Finally, a numerical example for the nonlinear problem is given to show that the scheme attains the optimal ((k+1))th order of accuracy for piecewise (Q^{k}) polynomials of degree k when (kgeq2).