Academic literature on the topic 'Nonlinearitie'

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Journal articles on the topic "Nonlinearitie"

1

Bahrouni, Anouar. "A Note on the Existence Results for Schrödinger–Maxwell System with Super-Critical Nonlinearitie." Acta Applicandae Mathematicae 166, no. 1 (2019): 215–21. http://dx.doi.org/10.1007/s10440-019-00263-3.

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2

Śliwiński, Przemysław. "On-line wavelet estimation of Hammerstein system nonlinearity." International Journal of Applied Mathematics and Computer Science 20, no. 3 (2010): 513–23. http://dx.doi.org/10.2478/v10006-010-0038-y.

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On-line wavelet estimation of Hammerstein system nonlinearityA new algorithm for nonparametric wavelet estimation of Hammerstein system nonlinearity is proposed. The algorithm works in the on-line regime (viz., past measurements are not available) and offers a convenient uniform routine for nonlinearity estimation at an arbitrary point and at any moment of the identification process. The pointwise convergence of the estimate to locally bounded nonlinearities and the rate of this convergence are both established.
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3

Altuğ, Sumru, Richard A. Ashley, and Douglas M. Patterson. "ARE TECHNOLOGY SHOCKS NONLINEAR?" Macroeconomic Dynamics 3, no. 4 (1999): 506–33. http://dx.doi.org/10.1017/s1365100599013036.

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The behavior of postwar real U.S. GNP, the inputs to an aggregate production function, and several formulations of the associated Solow residuals for the presence of nonlinearities in their generating mechanisms are examined. Three different statistical tests for nonlinearity are implemented: the McLeod-Li test, the BDS test, and the Hinich bicovariance test. We find substantial evidence for nonlinearity in the generating mechanism of real GNP growth but no evidence for nonlinearity in the Solow residuals. We further find that the generating mechanism of the labor input series is nonlinear, wh
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4

Schäfer, Dominik. "Influence of Fluid Viscosity and Compressibility on Nonlinearities in Generalized Aerodynamic Forces for T-Tail Flutter." Aerospace 9, no. 5 (2022): 256. http://dx.doi.org/10.3390/aerospace9050256.

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The numerical assessment of T-tail flutter requires a nonlinear description of the structural deformations when the unsteady aerodynamic forces comprise terms from lifting surface roll motion. For linear flutter, a linear deformation description of the vertical tail plane (VTP) out-of-plane bending results in a spurious stiffening proportional to the steady lift forces, which is corrected by incorporating second-order deformation terms in the equations of motion. While the effect of these nonlinear deformation components on the stiffness of the VTP out-of-plane bending mode shape is known from
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5

He, Shuai, Ching-Tai Ng, and Carman Yeung. "Time-Domain Spectral Finite Element Method for Modeling Second Harmonic Generation of Guided Waves Induced by Material, Geometric and Contact Nonlinearities in Beams." International Journal of Structural Stability and Dynamics 20, no. 10 (2020): 2042005. http://dx.doi.org/10.1142/s0219455420420055.

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This study proposes a time-domain spectral finite element (SFE) method for simulating the second harmonic generation (SHG) of nonlinear guided wave due to material, geometric and contact nonlinearities in beams. The time-domain SFE method is developed based on the Mindlin–Hermann rod and Timoshenko beam theory. The material and geometric nonlinearities are modeled by adapting the constitutive relation between stress and strain using a second-order approximation. The contact nonlinearity induced by breathing crack is simulated by bilinear crack mechanism. The material and geometric nonlineariti
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6

Quintana, Anthony, Rui Vasconcellos, Glen Throneberry, and Abdessattar Abdelkefi. "Nonlinear Analysis and Bifurcation Characteristics of Whirl Flutter in Unmanned Aerial Systems." Drones 5, no. 4 (2021): 122. http://dx.doi.org/10.3390/drones5040122.

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Aerial drones have improved significantly over the recent decades with stronger and smaller motors, more powerful propellers, and overall optimization of systems. These improvements have consequently increased top speeds and improved a variety of performance aspects, along with introducing new structural challenges, such as whirl flutter. Whirl flutter is an aeroelastic instability that can be affected by structural or aerodynamic nonlinearities. This instability may affect the prediction of potentially dangerous behaviors. In this work, a nonlinear reduced-order model for a nacelle-rotor syst
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7

Mu, Rongjun, and Chao Cheng. "Controller Design of Complex System Based on Nonlinear Strength." Mathematical Problems in Engineering 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/523197.

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This paper presents a new idea of controller design for complex systems. The nonlinearity index method was first developed for error propagation of nonlinear system. The nonlinearity indices access the boundary between the strong and the weak nonlinearities of the system model. The algorithm of nonlinearity index according to engineering application is first proposed in this paper. Applying this method on nonlinear systems is an effective way to measure the nonlinear strength of dynamics model over the full flight envelope. The nonlinearity indices access the boundary between the strong and th
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8

Kristály, Alexandru, and Nikolaos S. Papageorgiou. "Multiplicity theorems for semilinear elliptic problems depending on a parameter." Proceedings of the Edinburgh Mathematical Society 52, no. 1 (2009): 171–80. http://dx.doi.org/10.1017/s0013091507000665.

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AbstractWe consider semilinear elliptic problems in which the right-hand-side nonlinearity depends on a parameter λ > 0. Two multiplicity results are presented, guaranteeing the existence of at least three non-trivial solutions for this kind of problem, when the parameter λ belongs to an interval (0,λ*). Our approach is based on variational techniques, truncation methods and critical groups. The first result incorporates as a special case problems with concave–convex nonlinearities, while the second one involves concave nonlinearities perturbed by an asymptotically linear nonlinearity at in
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9

Wu, Zhijun, Lifeng Fan, and Shihe Zhao. "Effects of Hydraulic Gradient, Intersecting Angle, Aperture, and Fracture Length on the Nonlinearity of Fluid Flow in Smooth Intersecting Fractures: An Experimental Investigation." Geofluids 2018 (2018): 1–14. http://dx.doi.org/10.1155/2018/9352608.

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This study experimentally investigated the nonlinearity of fluid flow in smooth intersecting fractures with a high Reynolds number and high hydraulic gradient. A series of fluid flow tests were conducted on one-inlet-two-outlet fracture patterns with a single intersection. During the experimental tests, the syringe pressure gradient was controlled and varied within the range of 0.20–1.80 MPa/m. Since the syringe pump used in the tests provided a stable flow rate for each hydraulic gradient, the effects of hydraulic gradient, intersecting angle, aperture, and fracture length on the nonlineariti
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10

Kashchenko, Alexandra. "Asymptotics of Solutions to a Differential Equation with Delay and Nonlinearity Having Simple Behaviour at Infinity." Mathematics 10, no. 18 (2022): 3360. http://dx.doi.org/10.3390/math10183360.

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In this paper, we study nonlocal dynamics of a nonlinear delay differential equation. This equation with different types of nonlinearities appears in medical, physical, biological, and ecological applications. The type of nonlinearity in this paper is a generalization of two important for applications types of nonlinearities: piecewise constant and compactly supported functions. We study asymptotics of solutions under the condition that nonlinearity is multiplied by a large parameter. We construct all solutions of the equation with initial conditions from a wide subset of the phase space and f
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