Air Gauge Characteristics Linearity Improvement by Cz. J. Jermak, M. Jakubowicz, J. Dereżyński, M. Rucki

“…As a result, the nonlinearity is reduced from 5% down to 1% and even below.…”
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Cryptanalysis of hyperchaotic S-box generation and image encryption by Mohammad Mazyad Hazzazi, Gulraiz, Rashad Ali, Muhammad Kamran Jamil, Sameer Abdullah Nooh, Fahad Alblehai

“…The dynamic S-boxes have average scores of nonlinearity, strict avalanche criteria(SAC), nonlinearity of Bit Independence Criteria (BIC Nonlinearity), SAC of Bit Independence Criteria (BIC SAC), Linear Approximation Probability (LAP) and Differential Approximation Probability (DAP) is 111.1025, 111.1022, 0.5014, 0.5024, 111.1082, 111.0964, 0.5024, 0.5022, 0.0726, 0.0729 and 0.0214, 0.0219, respectively. …”
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Collapse Analysis of Transmission Tower Subjected to Earthquake Ground Motion by Xiaohong Long, Wei Wang, Jian Fan

“…The collapse of transmission towers involves a series of complex problems, including geometric nonlinearity, material nonlinearity, dynamic nonlinearity, and the failure of members. …”
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Parametric design and numerical analysis of super long span upper-support thrust-bearing concrete arch bridge by Yaojun Ge, Linqian Zheng, Zhuozhang Deng, Genshen Fang

“…Research on the impact of nonlinearity reveals that material nonlinearity has a much greater impact on ultimate bearing capacity than geometric nonlinearity. …”
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Existence Results for a Perturbed Problem Involving Fractional Laplacians by Yan Hu

“…Besides, existence results are obtained by variational methods for s∈(1/2,1) and for more general nonlinearities. While the case s≤1/2 remains open.…”
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CLIMATE FACTOR CONSIDERATION DURING ENERGY SAVING POTENTIAL ESTIMATION AT THE LEVEL OF INDIVIDUAL COUNTRIES AND REGIONS by N. A. Kislenko, Yu. S. Kopylova

“…The approach to the allocation of climate factors, that influence on gas consumption with consideration of their interdependence, nonlinearity and inertia of factors has been reviewed. …”
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Dynamic Pull-In Investigation of a Clamped-Clamped Nanoelectromechanical Beam under Ramp-Input Voltage and the Casimir Force by Amir R. Askari, Masoud Tahani

“…The presented model is nonlinear due to the inherent nonlinearity of electrostatics and the Casimir excitations as well as the geometric nonlinearity of midplane stretching. …”
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Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems by Wenping Qin, Jian Zhang, Fukun Zhao

“…Moreover, by applying a generalized linking theorem for strongly indefinite functionals, we establish the existence of homoclinic orbits for asymptotically quadratic nonlinearity as well as the existence of infinitely many homoclinic orbits for superquadratic nonlinearity.…”
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Onset and termination of oscillation of disease spread through contaminated environment by Xue Zhang, Shuni Song, Jianhong Wu

“…We consider a reaction diffusion equation with a delayed nonlocal nonlinearity and subject to Dirichlet boundary condition. …”
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New Approach for the Analysis of Damped Vibrations of Fractional Oscillators by Yuriy A. Rossikhin, Marina V. Shitikova

“…The dynamic behavior of linear and nonlinear mechanical oscillators with constitutive equations involving fractional derivatives defined as a fractional power of the operator of conventional time-derivative is considered. …”
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Boundary Value Problems for Systems of Second-Order Dynamic Equations on Time Scales with Δ-Carathéodory Functions by M. Frigon, H. Gilbert

“…First, we consider the case where the nonlinearity f does not depend on the Δ-derivative, xΔ(t). …”
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An Efficient Collocation Method for a Class of Boundary Value Problems Arising in Mathematical Physics and Geometry by A. H. Bhrawy, A. S. Alofi, R. A. Van Gorder

“…We present a numerical method for a class of boundary value problems on the unit interval which feature a type of power-law nonlinearity. In order to numerically solve this type of nonlinear boundary value problems, we construct a kind of spectral collocation method. …”
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Design and Analysis of Combined Valve Spool with Linear Flow Coefficient by Changxiong Xie, Heng Su, Jun Yang, Zhongjing He

“…In fact, the flow discharge has obvious nonlinearity under the condition of small opening and small pressure difference of the valve port, which makes the electro-hydraulic servo system more difficult to control. …”
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A Numerical Study on the Progressive Failure of 3D Four-Directional Braided Composites by Kun Xu

“…The longitudinal shear nonlinearity of braiding yarn is considered in the model. …”
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Blow-up solutions to the semilinear wave equation with overdamping term by Liu, Miaomiao, Guo, Bin

“…This article deals with the Cauchy problem to the following damped wave equation \begin{equation*} {\left\lbrace \begin{array}{ll} u_{tt}-\Delta u+b(t) u_t=M(u),~&(t,x)\in R^{+}\times R^{N},\\ u(0,x)=u_0(x),~u_t(0,x)=u_1(x),~&x\in R^{N}, \end{array}\right.}CP \end{equation*} with the focusing nonlinearity $M(u)=|u|^{p-1}u,~p>1.$ For the focusing nonlinearity $M(u)=\pm |u|^{p},~p>1,$ Ikeda and Wakasugi in [8] have showed that the solution to Problem (CP) exists globally for small data and fails to exist globally for large data. …”
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Ultimate Bearing Capacity of Strip Foundations in Unsaturated Soils considering the Intermediate Principal Stress Effect by Qing Yan, Junhai Zhao, Changguang Zhang, Jintai Wang

“…Besides, the effect of strength nonlinearity is discussed with two methods representing the angle φb.…”
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Human Simulated Intelligent Control with Double-Direction Dead-Zone Compensation for Joint Motion Control of a Large-Sized Boom System by Rongsheng Liu, Yingjie Gao, Yulin Yang, Yanlong Liu

“…It has been considered difficult due to strong nonlinearities and parametric uncertainties, the effect of which increases with the size of booms. …”
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The Dynamics of Rotor with Rubbing by Jerzy T. Sawicki, Joe Padovan, Rabih Al-Khatib

“…Of special interest are the changes in the apparent nonlinearity of the system dynamics as rubs are induced at different rotor speeds. …”
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Damage Detection and Quantification Using Transmissibility Coherence Analysis by Yun-Lai Zhou, E. Figueiredo, N. Maia, R. Perera

“…., 2002, Fassois and Sakellariou, 2007, especially when nonlinearity occurs, which might be further used in real engineering. …”
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Trivariate Stochastic Weather Model for Predicting Maize Yield by Patrick Chidzalo, Phillip O. Ngare, Joseph K. Mung’atu

“…Stochastic analyses are applied on the pdf and process to account for nonlinearity and nonstationarity, and also establish a corresponding stochastic differential equation (SDE) for maize yield. …”
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