Sentence examples for behavior of a nonlinear from inspiring English sources

Chaos describes the complex behavior of a nonlinear deterministic system.

This paper examines dynamical behavior of a nonlinear oscillator which models a quarter-car forced by the road profile.

The behavior of a nonlinear main system with nonlinear secondary system will be investigated to many cases of resonances.

A neural network is trained to recognize the input-output behavior of a nonlinear plant, and faults are detected if the output estimated by the network differs from the measured plant output by more than a specified threshold value.

Our results indicate that no wave breaking occurs and that the water will slosh up and down the sloping bottom, similar to the behavior of a nonlinear gravity wave.

This article is concerned with the oscillation and asymptotic behavior of a nonlinear third-order neutral delay differential equation bigl(r(t) bigl z"(t) bigr)^{alpha} bigr)'+q(t)f bigl(x bigl sigma(t) bigr) bigr)=0, (1.1) where (tgeq t_{0}>0), (z(t):=x t)+p(t)x tau(t))), and (alphageq1) is a ratio of odd positive integers.

The result is a quasi linear-decentralized (qLD) FF-OF dynamic controller which: (i) recovers (up to observer convergence) the behavior of a robust nonlinear FF-SF controller, (ii) has closed-loop stability conditions coupled with conventional-like tuning guidelines, and (iii) constitutes an add-on to the PI control scheme commonly employed in industrial reactors.

The dynamic behavior of a piecewise-nonlinear mechanical oscillator with parametric and external excitations is investigated.

The PI controller recovers (up to observer convergence and saturation) the behavior of a model-based nonlinear state-feedback passive stabilizing controller equivalent to an exact nonlinear model-based predictive controller with infinite-time receding horizon.

The linear OF saturated controller: (i) recovers, in a practical stability sense, the behavior of a globally stabilizing nonlinear robust SF saturated controller, and (ii) becomes a linear PI controller in the absence of saturation.

In this work, we study the oscillation and asymptotic behavior of a third-order nonlinear neutral differential equation with variable delay arguments ( r ( t ) [ x ( t ) + P ( t ) x ( t − τ ( t ) ) ] ″ ) ′ + ∑ i = 1 m Q i ( t ) f i ( x ( t − σ i ( t ) ) ) = 0, t ≥ t 0, (1).