On High-Dimensional Time-Variant Reliability Analysis with the Maximum Entropy Principle by Fuliang Zhou, Yu Hou, Hong Nie

“…The proposed method is successfully applied to the reliability analysis of a linear and a nonlinear structural system, which involves a large number of inputs deriving from the discretization of the input random processes.…”
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Seismic Stability Analysis of Saturated and Unsaturated Soil Slopes Using Permanent Displacement by Shuai Huang, Yanju Peng

“…Then, based on the proposed calculation method of dynamic pore water pressure combined with the limit equilibrium and finite element methods, we introduce a simple calculation method of permanent displacement, which avoids solving complex nonlinear equations and greatly simplifies the computational effort. …”
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On the space of 2d integrable models by Lukas W. Lindwasser

“…These Lie algebras are defined by the set of infinitesimal, nonlinear, and higher derivative symmetry transformations present in theories with a left(right)-moving or (anti)-holomorphic current. …”
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Reaction-diffusion for fish populations with realistic mobility by Philip Broadbridge

“…Nonlinear reaction-diffusion equations, with Fisher logistic growth and constant diffusion coefficient, have been used in fisheries research to estimate sustainable harvesting rates and critical domain sizes of no-take areas. …”
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An Optimization to Schedule Train Operations with Phase-Regular Framework for Intercity Rail Lines by Huimin Niu, Minghui Zhang

“…This paper proposes a phase-regular scheduling method which divides a day equally into several time blocks and applies a regular train-departing interval and the same train length for each period under the period-dependent demand conditions. A nonlinear mixed zero-one programming model, which could accurately calculate the passenger waiting time and the in-train crowded cost, is developed in this study. …”
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Mathematical Modeling, Analysis, and Optimal Control of Corruption Dynamics by Haileyesus Tessema Alemneh

“…In this paper, a nonlinear deterministic model for the dynamics of corruption is proposed and analysed qualitatively using the stability theory of differential equations. …”
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A Bright Entanglement and Squeezing Generated by an External Pumping Radiation in a Correlated Emission Laser by Chimdessa Gashu

“…It is found that pumping atoms from the lower energy state to excited state, introducing the nonlinear crystal into the cavity and coupling the system to a biased noise fluctuation, generate a bright and strong squeezing and entanglement with enhanced statistical properties although the atoms are initially in the ground state.…”
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Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving ψ-Hilfer Fractional Derivatives by Athasit Wongcharoen, Sotiris K. Ntouyas, Phollakrit Wongsantisuk, Jessada Tariboon

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Probability Density Evolution Algorithm for Stochastic Dynamical Systems Based on Fractional Calculus by Yang Yan, Xiaohong Yu

“…For that, a new efficient and accurate method is used in this paper, suitable for linear and nonlinear random vibration analysis of large structures as well as static and dynamic reliability assessment. …”
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Global attractivity of positive periodic solutions for an impulsive delay periodic food limited population model by Jian Song

“…We will consider the following nonlinear impulsive delay differential equation N′(t)=r(t)N(t)((K(t)−N(t−mw))/(K(t)+λ(t)N(t−mw))), a.e. t>0, t≠tk, N(tk+)=(1+bk)N(tk), K=1,2,…, where m is a positive integer, r(t), K(t), λ(t) are positive periodic functions of periodic ω. …”
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CTE Solvability, Nonlocal Symmetry, and Interaction Solutions of Coupled Integrable Dispersionless System by Jun Yu, Bo Ren, Ping Liu, Jia-Li Zhou

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Research on Dynamic and Complexity of Energy-Saving Investment about Multichannel and Multienergy Supply Chain by Fang Wu

“…It is interesting to find the Grazing–Hopf bifurcation which usually occurs in nonlinear circuits. The mixed expectation of bounded rationality and the naive expectation is conducive to suppressing the bifurcation and chaos of the market. …”
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Review on Mathematical and Mechanical Models of the Vocal Cord by L. Cveticanin

“…The basic model is a two-mass nonlinear oscillator system which is accepted to be the basic one for mechanical description in voice production. …”
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On Costas Sets and Costas Clouds by Konstantinos Drakakis

“…We abstract the definition of the Costas property in the context of a group and study specifically dense Costas sets (named Costas clouds) in groups with the topological property that they are dense in themselves: as a result, we prove the existence of nowhere continuous dense bijections that satisfy the Costas property on ℚ2, ℝ2, and ℂ2, the latter two being based on nonlinear solutions of Cauchy's functional equation, as well as on ℚ, ℝ, and ℂ, which are, in effect, generalized Golomb rulers. …”
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Numerical Solution of Higher Order Boundary Value Problems by Shahid S. Siddiqi, Muzammal Iftikhar

“…The aim of this paper is to use the homotopy analysis method (HAM), an approximating technique for solving linear and nonlinear higher order boundary value problems. Using HAM, approximate solutions of seventh-, eighth-, and tenth-order boundary value problems are developed. …”
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A Few Remarks on the Poetics of Turbulence in Richard Powers’ Operation Wandering Soul by Jean-Yves Pellegrin

“…In order to counter their harmful effects, the novel thus sets about disturbing narrative order and our reading habits by turning itself into a turbulent text, modeling its innermost structures on that of nonlinear systems.…”
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Design of Optical Wireless Networks with Fair Traffic Flows by Artur Tomaszewski

“…Finally, as the general problem is nonlinear, it is shown that the problem can be transformed to a linear MIP problem and solved effectively when single-path routing of traffic flows is assumed.…”
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Traverse Vibration of Axially Moving Laminated SMA Beam considering Random Perturbation by Hao Ying, Gao Minglei

“…The nonlinear random vibration of axially moving shape memory alloy (SMA) laminated beam under transverse loads is investigated. …”
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Contraction Mapping Theory and Approach to LMI-Based Stability Criteria of T-S Fuzzy Impulsive Time-Delays Integrodifferential Equations by Ruofeng Rao, Shouming Zhong

“…Even a corollary of our main result improves one of existing main results due to extending linear function to nonlinear function. Besides, the LMI-based criteria are programmable for computer MATLAB LMI toolbox. …”
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Model Averaging Estimation Method by Kullback–Leibler Divergence for Multiplicative Error Model by Wanbo Lu, Wenhui Shi

“…In simulations, we show that the KLMA estimator compares favorably with smooth-AIC estimator (SAIC), smooth-BIC estimator (SBIC), and Mallows model averaging estimator (MMA), especially when some nonlinear noise is added to the data generation process. …”
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