Sentence examples for systems and nonlinear from inspiring English sources

His broad research interests have included mathematical biology; the small-world phenomenon ("six degrees of separation") in social networks; structural balance in social systems; and nonlinear dynamics and chaos in physics, engineering and biology.

Convergence theory, robust numerical algorithms, and production quality mathematical software exist for general nonlinear systems of equations, and special cases such as Brouwer fixed point problems, polynomial systems, and nonlinear constrained optimization.

These new results have significance in the analysis and design of nonlinear systems and nonlinear filters in order to achieve a specific output spectrum in a desired frequency band by taking advantage of nonlinearities.

It is shown that the derivatives of eigensolutions can be treated in a unified way for different structural systems (i.e., undamped systems, viscously and nonviscously damped systems, and nonlinear systems).

His research interests include constrained optimal trajectory generation, delay systems, and nonlinear observers.

Integrable systems and nonlinear evolution equations [1 9] have attracted much attention of mathematicians and physicists.

This paper proposes an inverse optimality design method for nonlinear deterministic system and nonlinear stochastic system with multiplicative and additive noises.

The aim of this study is to estimate the rock brittleness by constructing fuzzy inference system and nonlinear regression analysis.

Nevertheless, this technique does not permit obtaining the vibrating state of the brake system and nonlinear methods have to be employed.

end{aligned} (1.2) Since then, the dynamic behaviors of the nonlinear competition system and nonlinear competition-predator-prey system have been extensively studied by many scholars [13 30].

As this parameter decreases, the gap between the BER curves corresponding to the linear system and nonlinear ones becomes significant.