# nonlinear

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## nonlinear

[′nän‚lin·ē·ər]
(physics)
Pertaining to a response which is other than directly or inversely proportional to a given variable.

## nonlinear

(Scientific computation) A property of a system whose output is not proportional to its input. For example, a transistor has a region of input voltages for which its output voltage is found by multiplying the input voltage by the gain of the transistor. Outside this region though, the transistor behaves non-linearly, meaning that it does not obey this simple equation. The behaviour of a system containing non-linear components is thus harder to model and to predict.

## nonlinear

A system in which the output is not a uniform relationship to the input. Contrast with linear.
References in periodicals archive ?
(2006) reported that Weibull (99.32 %R2) was the best nonlinear function model for Akkeci (White goat) female kids.
(2011) informed that Brody and Gompertz nonlinear functions accounted for the growth of the Beetal kids at the highest predictive accuracy.
where L = [partial derivative]d/[partial derivative]t and R = [[partial derivative].sup.2]/[partial derivative][x.sup.2], L and R are Linear operators, and N is a nonlinear operator.
and the nonlinear terms are replaced by the series:
Figure 3 shows a comparison between the manual and nonlinear methods.
The objective of the current study is to explore the feasibility of a noncontact, electromagnetic acoustic technique to assess the acoustic nonlinearity parameter using nonlinear longitudinal waves.
Basically, to generate FWM, the phase matching should be conserved, and this can be achieved when the wave vector mismatch k = [DELTA]k + [DELTA][k.sub.NL] = 0, where [DELTA]k and [DELTA][k.sub.NL] represent the wave vectors mismatch related to dispersion and nonlinear effects, respectively.
where k and x are the wave number and propagation distance of ultrasonic, [A.sub.1] and [A.sub.2] represent amplitudes of fundamental wave and second harmonic wave, respectively, in the frequency spectrum of receiving signals in nonlinear ultrasonic experiments.
Although the Melnikov method is used here only for Duffing system without the control action, however, it is known that control action is an important direction of the nonlinear dynamics field.
In addition, there have been a lot of studies dealing with dynamic response and vibration of beams and plates with nonlinear restraints when subjected to various dynamic loads [16-20].
For a proper analysis we start with the nonlinear Maxwell's equations, which are written in the following form:
Wiener models are also used, for example as a robust nonlinear internal model control of stable Wiener systems [20], or block-oriented feedforward control with demonstration to Wiener modelling [25], or modelling of memristor-based chaotic systems using nonlinear Wiener adaptive filters [24].

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