Turing patterns in a networked vegetation model by Xiaomei Bao, Canrong Tian

“…The parameter space of Turing patterns for plant behavior is obtained based on the analysis of the eigenvalues of the Laplacian of weighted graph, while the amplitude equation determining the stability of Turing patterns is obtained by weakly nonlinear analysis. We also show that the optimal rainfall is only determined by the density of the water. …”
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Related Fixed Point Theorems via General Approach of Simulations Functions by Kastriot Zoto, Nabil Mlaiki, Hassen Aydi

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From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces by Mohamed Jleli, Bessem Samet, Calogero Vetro, Francesca Vetro

“…We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0σ-complete metric-like spaces. …”
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Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces by Jiang Zhu, Lei Wei, Yeol Je Cho, Cheng Cheng Zhu

“…Also, several other important principles in nonlinear analysis are extended to cone quasi-uniform spaces. …”
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Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity by Xinguang Zhang, Lixin Yu, Jiqiang Jiang, Yonghong Wu, Yujun Cui

“…In this paper, we focus on the existence of positive solutions for a class of weakly singular Hadamard-type fractional mixed periodic boundary value problems with a changing-sign singular perturbation. By using nonlinear analysis methods combining with some numerical techniques, we further discuss the effect of the perturbed term for the existence of solutions of the problem under the positive, negative, and changing-sign cases. …”
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APPLICATION RESEARCH OF REMESHING TECHNIQUE ON RUBBER NUMERICAL SIMULATION by LV FengXia, ZHOU Li, YUAN HuiXin, ZHANG Yan, YANG He

“…The results of numerical simulation show that remeshing can reduce the occurrence of distortion and solve the problem of nonlinear analysis of large deformation caused by mesh distortion.Remeshing can improve the accuracy of data transmission between the old and new grid when the old mesh has a smaller distortion. …”
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Impact Force Magnitude Analysis of an Impact Pendulum Suspended in a Vibrating Structure by R.R. Aguiar, H.I. Weber

“…The mathematical model allows a detailed nonlinear analysis, showing the rich response of the system, which includes dynamical jumps, bifurcations and chaos. …”
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Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces by Ravi P. Agarwal, Hamed H. Alsulami, Erdal Karapınar, Farshid Khojasteh

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Picture Fuzzy Ideals of Near-Rings by Awais Asif, Hassen Aydi, Muhammad Arshad, Abdul Rehman, Usman Tariq

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A Novel Picture Fuzzy n-Banach Space with Some New Contractive Conditions and Their Fixed Point Results by Awais Asif, Hassen Aydi, Muhammad Arshad, Zeeshan Ali

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Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source by Moli Zhao, Qiangyong Zhang, Shaowei Wang

“…The linear analysis is obtained using the normal mode technique, and the nonlinear analysis of the system is studied with the help of truncated representation of Fourier series. …”
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A New Two-Lane Lattice Hydrodynamic Model considering the Traffic Interruption Probability under Honk Environment by Qingying Wang, Hongxia Ge, Rongjun Cheng

“…Then, the mKdV equation near the critical point can be obtained by applying nonlinear analysis, which describes the traffic jams according to the kink-antikink density waves. …”
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STUDY ON IN-PLANE STABILITY OF THE WTZ350 GEOPHYSICAL RIG’S MAST by ZHANG JiaJia, JIANG FaGuang, YANG FengSHen, YANG MaoJun, ZHAN Jin

“…Theoretical arithmetic,according to the energy method and principle of stationary potential energy,and numerical simulation and verification of the derrick’s in-plane stability were conducted,and the results of theoretical calculation and numerical simulation basically tallied. Then,material nonlinear analysis was conducted on 5 kinds of structural steel masts.Results show that: maximum stress of the thin-walled derrick exceeds the yield strength of the material when linear buckling occurs in the lifting drilling process for the 5 kinds of structural steel masts and the type of instability is elastic-plastic buckling;The elastic-plastic buckling safety factor y becomes larger with the increasing of yield strength of materials,and the linear fitting function is y = 0. 00707x- 0. 01651; The steel materials that whose yield strength is greater than 313. 5 MPa meet the requirements of derrick’s in-plane elastic-plastic stability.…”
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AIRCRAFT SPOILER SUSPENSION STIFFNESS TEST AND ANALYSIS (MT) by GAO Jie, LI Chao

“…After the problem was located quickly and accurately, the structure were re-analyzed by the nonlinear analysis method of geometric large deformation based on Patran/Nastran platform. …”
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An Investigation on the Nonlinear Free Vibration Analysis of Beams with Simply Supported Boundary Conditions Using Four Engineering Theories by R. A. Jafari-Talookolaei, M. H. Kargarnovin, M. T. Ahmadian, M. Abedi

“…The results of nonlinear analysis are validated with the published results, and excellent agreement is observed. …”
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Driver’s Anticipation and Memory Driving Car-Following Model by Ammar Jafaripournimchahi, Lu Sun, Wusheng Hu

“…Linear and nonlinear stability analyses are both applied to study the linear and nonlinear stability conditions of the new model. Through nonlinear analysis a modified Korteweg-de Vries (mKdV) equation was constructed to describe traffic flow near the traffic near the critical point. …”
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Linear and Nonlinear Dynamic Analyses of Sandwich Panels with Face Sheet-to-Core Debonding by Vyacheslav N. Burlayenko, Tomasz Sadowski

“…The influences of debonding size, form, and location and number of such damage incidents on the modal characteristics of sandwich panels are shown. For nonlinear analysis, models based on implicit and explicit time integration schemes are presented and dynamic responses gained with those models are discussed. …”
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On the lumped damage modelling of reinforced concrete beams and arches by Thalyson Issac de Jesus Brito, Danilo Menezes Santos, Fabio Augusto Silva Santos, Rafael Nunes da Cunha, David Leonardo Nascimento de Figueiredo Amorim

“…The lumped damage mechanic applies concepts of the classic fracture and damage mechanics in plastic hinges for nonlinear analysis of reinforced concrete structures. Therefore, this paper deals with a novel physical definition of the correction factor ? …”
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Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications by Gonca Durmaz, Gülhan Mınak, Ishak Altun

“…Vetro, Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Analysis. Theory, Methods and Applications, 75 (2012), 2154-2165.), the authors introduced the concept of α-admissible maps on metric spaces. …”
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Chaotic Power System Stabilization Based on Novel Incommensurate Fractional-Order Linear Augmentation Controller by Abdul-Basset A. Al-Hussein, Fadhil Rahma Tahir, Karthikeyan Rajagopal

“…The nonlinear dynamics of an incommensurate fractional-order single-machine infinite-bus (SMIB) power system benchmark model are explored and studied by means of modern nonlinear analysis theories, such as bifurcation, chaos, power spectral density (PSD), and bicoherence methods. …”
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