Complexity of a Microblogging Social Network in the Framework of Modern Nonlinear Science by Andrey Dmitriev, Vasily Kornilov, Svetlana Maltseva

“…Recent developments in nonlinear science have caused the formation of a new paradigm called the paradigm of complexity. …”
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New Iteration Methods for Time-Fractional Modified Nonlinear Kawahara Equation by Abdon Atangana, Necdet Bildik, S. C. Oukouomi Noutchie

“…We put side by side the methodology of two comparatively new analytical techniques to get to the bottom of the system of nonlinear fractional modified Kawahara equation. The technique is described and exemplified with a numerical example. …”
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Recent Advances in Symmetry Analysis and Exact Solutions in Nonlinear Mathematical Physics by Maria Bruzón, Chaudry M. Khalique, Maria L. Gandarias, Rita Traciná, Mariano Torrisi

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NONLINEAR PERTURBATIONS OF POLYHEDRAL NORMAL CONE MAPPINGS AND AFFINE VARIATIONAL INEQUALITIES by Nguyễn Thành Quí

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Potential Antioxidant Activity of New Tetracyclic and Pentacyclic Nonlinear Phenothiazine Derivatives by Godwill Azeh Engwa, Eugene Lekem Ayuk, Benardeth Ujunwa Igbojekwe, Marcellus Unaegbu

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Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies by Junwei Wang, Kairui Chen, Yun Zhang

“…In this paper, we investigate such a problem for nonlinear multiagent systems with Lipschitz dynamics. …”
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Nonlinear Dynamic Analysis of New Product Diffusion considering Consumer Heterogeneity by Zhongjun Tang, Huike Zhu

“…The proposed model showed that consumers’ characteristics and behavior combination at the microlevel lead to the diversity of nonlinear diffusion curves at the macrolevel for new products. …”
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Oscillation of Second-Order Neutral Functional Differential Equations with Mixed Nonlinearities by Shurong Sun, Tongxing Li, Zhenlai Han, Yibing Sun

“…We study the following second-order neutral functional differential equation with mixed nonlinearities (r(t)|(u(t)+p(t)u(t-σ))'|α-1(u(t)+p(t)u(t-σ))′)′+q0(t)|u(τ0(t))|α-1u(τ0(t))+q1(t)|u(τ1(t))|β-1u(τ1(t))+q2(t)|u(τ2(t))|γ-1u(τ2(t))=0, where γ>α>β>0, ∫t0∞(1/r1/α(t))dt<∞. …”
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Nonlinear Vibration Characteristics of the Involute Spline Coupling in Aeroengine with the Parallel Misalignment by Xiangzhen Xue, Qixin Huo, Jian Liu

“…Then, the influence of different misalignment, wear, and rotation speeds with different misalignment on the nonlinear vibration characteristics of the involute aviation spline coupling was explored. …”
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NONLINEAR FREQUENCY MODULATION ANALYSIS OF GEAR SYSTEM BASED ON EXPERIMENT AND SIMULATION by WANG Jue, ZHOU Hang, ZHANG YingBo, ZHANG Rui

“…Conventional fast Fourier transform（ FFT） has been the most popular method of processing non-stationary and nonlinear signals. However,FFT has been known to be less efficient because of aliasing. …”
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Uniform in Time Description for Weak Solutions of the Hopf Equation with Nonconvex Nonlinearity by Antonio Olivas Martinez, Georgy A. Omel'yanov

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Initial and Boundary Value Problems for a Class of Nonlinear Metaparabolic Equations by Huafei Di, Zefang Song

“…This paper is devoted to the initial and boundary value problems for a class of nonlinear metaparabolic equations ut−βuxx−kuxxt+γuxxxx=fuxx. …”
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Numerical and Analytical Simulations of Nonlinear Time Fractional Advection and Burger’s Equations by Hassan Khan, Qasim Khan, Fairouz Tchier, null Ibrarullah, Evren Hincal, Gurpreet Singh, F. M. O. Tawfiq, Shahbaz Khan

“…In this paper, the higher nonlinear problems of fractional advection-diffusion equations and systems of nonlinear fractional Burger’s equations are solved by using two sophisticated procedures, namely, the q-homotopy analysis transform method and the residual power series method. …”
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The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation by Meng Wu

“…The existence and uniqueness of local strong solutions for a nonlinear equation are investigated in the Sobolev space C([0,T);Hs(R)) ∩C1([0,T);Hs-1(R)) provided that the initial value lies in Hs(R) with s>3/2. …”
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Nonlinearity of the post-spinel transition and its expression in slabs and plumes worldwide by Junjie Dong, Rebecca A. Fischer, Lars P. Stixrude, Matthew C. Brennan, Kierstin Daviau, Terry-Ann Suer, Katlyn M. Turner, Yue Meng, Vitali B. Prakapenka

“…Combining our data with results from the literature, and using a global analysis based on machine learning, we find a pronounced nonlinearity in the post-spinel boundary, with its slope ranging from –4 MPa/K at 2100 K, to –2 MPa/K at 1950 K, and to 0 MPa/K at 1600 K. …”
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Neural Network Backstepping Controller Design for Fractional-Order Nonlinear Systems by Youjun Chen, Songyu Wang

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Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation by Irena Rachůnková, Lukáš Rachůnek

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High-Precision computational solutions for nonlinear evolution models in graphene sheets by Mostafa M. A. Khater, Suleman H. Alfalqi, Aleksander Vokhmintsev

“…Furthermore, this study provides new insights into the nonlinear dynamics and physical properties of graphene sheets, while also identifying connections to other prominent nonlinear evolution equations. …”
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The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions by Qun Gao

“…We study the existence of multiple solutions for a fourth-order nonlinear boundary value problem. We give some new criteria for guaranteeing that the fourth-order elastic beam equation with a perturbed term has at least three solutions. …”
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Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of Algae by Chuanjun Dai, Min Zhao

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