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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

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.
This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)

nonlinear

A system in which the output is not a uniform relationship to the input. Contrast with linear.
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(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.
Short Communication - Comparing Predictive Performances of some Nonlinear Functions and Multivariate Adaptive Regression Splines (MARS) for Describing the Growth of Daera Din Panah (DDP) Goat in Pakistan
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:
An Approximate Analytical Solution of the Nonlinear Schrodinger Equation with Harmonic Oscillator Using Homotopy Perturbation Method and Laplace-Adomian Decomposition Method
Figure 3 shows a comparison between the manual and nonlinear methods.
Shockley's Equation Fit Analyses for Solar Cell Parameters from I-V Curves
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.
Nonlinear Electromagnetic Acoustic Testing Method for Tensile Damage Evaluation
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.
Broadband Enhancement of Optical Frequency Comb Using Cascaded Four-Wave Mixing in Photonic Crystal Fiber
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.
Feasibility of Residual Stress Nondestructive Estimation Using the Nonlinear Property of Critical Refraction Longitudinal Wave
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.
Chaotic Motion in Forced Duffing System Subject to Linear and Nonlinear Damping
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].
Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints
For a proper analysis we start with the nonlinear Maxwell's equations, which are written in the following form:
Realization of All-Optical Digital Amplification in Coupled Nonlinear Photonic Crystal Waveguides
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].
New Electronic Didactic Tool for Nonlinear Systems Laboratory

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