Extendability of Equilibria of Nematic Polymers by Hongyun Wang, Hong Zhou

“…We formulate equilibrium states as solutions of a nonlinear system and calculate the determinant of the Jacobian matrix of the nonlinear system. …”
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Speaker verification method based on deep information divergence maximization by Chen CHEN, Yafeng RONG, Chaoqun JI, Deyun CHEN, Yongjun HE

“…To solve the problem that the nonlinear relationship between speaker representations cannot be accurately captured in speaker verification, an objective function based on depth information divergence maximization was proposed.It could implicitly represent the nonlinear relationship between speaker representations by calculating the similarity between their distributions.Under the supervision of the optimization goal of maximizing the statistical correlation, the deep neural network was optimized towards the direction that the within-class data was more compact and the between-class data were far away from each other, and finally the discrimination of deep speaker representation space could be effectively improved.Experimental results show that compared with other deep learning methods, the relative EER of the proposed method is reduced by 15.80% at most, which significantly improves the system performance.…”
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Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions by Chanakarn Kiataramkul, Sotiris K. Ntouyas, Jessada Tariboon

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An insight into the stochastic solitonic features of the Maccari model using the solver technique. by Hesham G Abdelwahed, Reem Alotaibi, Emad K El-Shewy, Mahmoud A E Abdelrahman

“…In this paper, the unified approach is used in acquiring some new results to the coupled Maccari system (MS) in Itô sense with multiplicative noise. The MS is a nonlinear model used in hydrodynamics, plasma physics, and nonlinear optics to represent isolated waves in a restricted region. …”
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Optical leptons by Lubomir M. Kovachev

“…We obtain optical vortices with classical orbital momentum ℓ=1 and spin j=±1/2 as exact solutions of a system of nonlinear Maxwell equations (NMEs). Two kinds of Kerr-type media, namely, those with and without linear dispersion of the electric and the magnet susceptibility, are investigated. …”
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Epidemic models with differential susceptibility and stagedprogression and their dynamics by James M. Hyman, Jia Li

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Synchronization of Coupled Networks with Uncertainties by Yi Zuo, Xinsong Yang

“…A distinct feature of the network is that all the dynamical nodes are affected by uncertain nonlinear nonidentical perturbations. In order to synchronize the network onto a given isolate trajectory, a novel adaptive controller is designed to overcome the effects of the nonidentical uncertain nonlinear perturbations. …”
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INCREMENTAL HARMONIC BALANCE METHOD FOR THE STUDY OF SUPPORT LOOSENESS FAULT’S CHARACTERISTICS by CAO QingSong, XIANG Qin, XIONG GuoLiang

“…Incremental harmonic balance method was exploited to solve the nonlinear equation,and iterative algorithm was applied to gain the vibration periodic solution. …”
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Motions of a Powered Top with a Spherical Tip on a Curved Surface by David C. Meeker, Miles A. Townsend

“…The movement of the top is simulated by an integration of the fully nonlinear equations of motion and compared with the partially linearized results.…”
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Comment on “Unilateral Global Bifurcation from Intervals for Fourth-Order Problems and Its Applications” by Ziyatkhan Aliyev

“…As applications of this result, these authors study the existence of nodal solutions for a class of nonlinear fourth-order eigenvalue problems with sign-changing weight. …”
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An efficient Bouc & Wen approach for seismic analysis of masonry tower by Luca Facchini, Michele Betti

“…With this hypothesis a nonlinear hysteretic Bouc & Wen model is employed to reproduce the system response which is subsequently employed to evaluate the response bounds. …”
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Some Inevitable Remarks on “Tripled Fixed Point Theorems for Mixed Monotone Kannan Type Contractive Mappings” by Hamed H. Alsulami, Antonio-Francisco Roldán-López-de-Hierro, Erdal Karapınar, Stojan Radenović

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Detection of ultrafast electron energization by whistler-mode chorus waves in the magnetosphere of Earth by S. Kurita, Y. Miyoshi, S. Saito, S. Kasahara, Y. Katoh, S. Matsuda, S. Yokota, Y. Kasahara, A. Matsuoka, T. Hori, K. Keika, M. Teramoto, I. Shinohara

“…Our findings indicate that these transient flux variations result from the nonlinear acceleration of electrons induced by the chorus waves, highlighting the importance of nonlinear wave-particle interactions in creating high energy electrons in the Earth’s magnetosphere. …”
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Nanoscale thickness Octave-spanning coherent supercontinuum light generation by Susobhan Das, Md Gius Uddin, Diao Li, Yadong Wang, Yunyun Dai, Juha Toivonen, Hao Hong, Kaihui Liu, Zhipei Sun

“…In general, spectral broadening is realized via third-order and higher-order nonlinear optical processes (e.g., self-phase modulation, Raman transition, four-wave mixing, multiwave mixing), which are typically weak and thus require a long interaction length and the phase matching condition to enhance the efficient nonlinear light-matter interaction for broad-spectrum generation. …”
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Polynomial and Rational Approximations and the Link between Schröder’s Processes of the First and Second Kind by François Dubeau

“…We show that Schröder’s processes of the first kind and of the second kind to obtain a simple root of a nonlinear equation are related by polynomial and rational approximations.…”
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Expansive Mappings and Their Applications in Modular Space by A. Azizi, R. Moradi, A. Razani

“…As an application, two nonlinear integral equations are considered and the existence of their solutions is proved.…”
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RESEARCH AND EDUCATION CENTER AS A “POINT OF GROWTH” OF INNOVATION DEVELOPMENT OF A TECHNICAL UNIVERSITY by Igor R. Pleve, Alexandr E. Khramov, Aleksey V. Ivanov, Marina V. Khramova, Olga I. Moskalenko

“…The article is devoted to the experience of establishing a Research and EducationCenter (REC) «Nonlinear Dynamics of Complex Systems» at Saratov State Technical University named after Yuri Gagarin. …”
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Finite-Time Robust Stabilization for Stochastic Neural Networks by Weixiong Jin, Xiaoyang Liu, Xiangjun Zhao, Nan Jiang, Zhengxin Wang

“…The purpose of the addressed problem is to design a nonlinear stabilizator which can stabilize the states of neural networks in finite time. …”
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Carrier-envelope-phase characterization of ultrafast mid-infrared laser pulses through harmonic generation and interference in argon by Claudia Gollner, Valentina Shumakova, Jacob Barker, Audrius Pugžlys, Andrius Baltuška, Pavel Polynkin

“…Random peak-power fluctuations of the driver pulses, converted to the fluctuations of the nonlinear phases, acquired by the pulses on propagation, cause this phase correlation to smear out. …”
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A Mesoscale Approach for Concrete Block Masonry by Xu Yang, Mingming Jia, Bin Chi, Mingzhi Wang, Jianfeng Zheng

“…Besides, an obvious nonlinear relationship between the masonry compressive strength and the mortar was also observed.…”
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