Characterization of the dynamic behavior of nonlinear biosystems in the presence of model uncertainty using singular invariance PDEs: Application to immobilized enzyme and cell bioreactors by Nikolaos Kazantzis, Vasiliki Kazantzi

Subjects: “…nonlinear biosystems; nonlinear dynamics; slow manifolds; singular pdes; immobilized enzyme bioreactors; model uncertainty; perturbations.…”
Get full text

Simulation Study on Mechanical Characteristics of Rock Bolt in Rock Mass with Bedding Separation Based on the Nonlinear Bond Slip Relationship by Ning Li, Zhigang Du, Fuqiang Gao, Fuzhou Qi, Haiping Gao, Mingxia Li, Xiaoqiang Wang

“…The validity of the numerical simulation is verified by the analytical solution of mechanical equation, when the bond slip relationship is linear. Further, the nonlinear bond slip relationship of anchoring interface is input into Flac3D by FISH. …”
Get full text

Nonlinear Finite Element Analysis and Comparison of In-Plane Strength of Circular and Parabolic Arched I-Section Cellular Steel Beam by Besukal Befikadu Zewudie

“…This article presents a numerical study using the finite element package ABAQUS to investigate the effect of arch axis geometry (circular and parabolic) and the impact of end support types on the in-plane inelastic buckling strength and buckling mode of I-section arched cellular steel beams. In the nonlinear finite element analysis of the model material nonlinearity, a second-order effect due to large deformation and initial geometric imperfection was incorporated in predicting inelastic buckling load and buckling mode. …”
Get full text

Futuristic Visions and Classical Myths: Nonlinear Time as a Device for Reinterpreting Antique Plots in Dan Simmons’ Novel “Ilium” by Mariia Iliuchenko

Get full text

ANALYZING ENHANCEMENT AND CONTROL OF KERR-NONLINEAR COEFFICIENT IN A THREE-LEVEL V-TYPE INHOMOGENEOUSLY BROADENED ATOMIC MEDIUM by Le Van Doai, Dinh Xuan Khoa

Subjects: Get full text

Research on Nonlinear Bearing Characteristics of Conical Deformation Friction Pairs in the Hydro-viscous Cluth Considering the Influence of Structural Parameters by Sun Hao, Cui Hongwei, Mei Bizhou, Li Donghui, Suo Yiran, Zhang Lingqing

Get full text

Nonlinear dynamic wave properties of travelling wave solutions in in (3+1)-dimensional mKdV-ZK model. by S M Yiasir Arafat, M Asif, M M Rahman

“…Based on time, the influence of the nonlinear parameter β on wave type is comprehensively investigated using various figures, demonstrating the significant impact of nonlinearity. …”
Get full text

Nonlinear dynamic wave properties of travelling wave solutions in in (3+1)-dimensional mKdV−ZK model by S. M. Yiasir Arafat, M. Asif, M. M. Rahman

Get full text

Enhancing Peak Shaving through Nonlinear Incentive-Based Demand Response: A Consumer-Centric Utility Optimization Approach by Nasim Eslaminia, Habib Rajabi Mashhadi

“…Real data are utilized, and the proposed models are implemented using the mixed-integer nonlinear programming (MINLP) method. The results demonstrate the effectiveness of providing incentives to consumers during peak hours compared to other approaches, with a comparison between the linear and nonlinear models.…”
Get full text

Robust H∞ Control for a Class of Nonlinear Distributed Parameter Systems via Proportional-Spatial Derivative Control Approach by Cheng-Dong Yang, Jianlong Qiu, Jun-Wei Wang

“…This paper addresses the problem of robust H∞ control design via the proportional-spatial derivative (P-sD) control approach for a class of nonlinear distributed parameter systems modeled by semilinear parabolic partial differential equations (PDEs). …”
Get full text

A Synchronization Criterion for Two Hindmarsh-Rose Neurons with Linear and Nonlinear Coupling Functions Based on the Laplace Transform Method by Chunlin Su, Bin Zhen, Zigen Song

“…In this paper, an analytical criterion is proposed to investigate the synchronization between two Hindmarsh-Rose neurons with linear and nonlinear coupling functions based on the Laplace transform method. …”
Get full text

Exact Solutions for Certain Nonlinear Autonomous Ordinary Differential Equations of the Second Order and Families of Two-Dimensional Autonomous Systems by M. P. Markakis

“…Certain nonlinear autonomous ordinary differential equations of the second order are reduced to Abel equations of the first kind ((Ab-1) equations). …”
Get full text

Investigation on Nonlinear Flow Behavior through Rock Rough Fractures Based on Experiments and Proposed 3-Dimensional Numerical Simulation by Xianshan Liu, Man Li, Nandou Zeng, Tao Li

“…Finally, it can be seen from the numerical results that the nonlinearity of fluid flow is mainly caused by the formation of eddies at fracture intersections and the critical pressure gradient decreases with increasing angle. …”
Get full text

Grading Prediction of Enterprise Financial Crisis Based on Nonlinear Programming Evaluation: A Case Study of Chinese Transportation Industry by Zhi-yuan Li

“…Therefore, a new evaluation model based on nonlinear programming is established, the nature of the model is proved, the detailed solution steps of the model are given, and the significance and algorithm of the model are thoroughly discussed in this study. …”
Get full text

Lump and Interaction Solutions to the (3+1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials by Xuejun Zhou, Onur Alp Ilhan, Fangyuan Zhou, Sutarto Sutarto, Jalil Manafian, Mostafa Abotaleb

“…In this paper, we study the (3+1)-dimensional variable-coefficient nonlinear wave equation which is taken in soliton theory and generated by utilizing the Hirota bilinear technique. …”
Get full text

Input-to-State Stabilization of a Class of Uncertain Nonlinear Systems via Observer-Based Event-Triggered Impulsive Control by Xiangru Xing, Jin-E Zhang

“…This article concerns the problem of input-to-state stabilization for a group of uncertain nonlinear systems equipped with nonabsolutely available states and exogenous disturbances. …”
Get full text

Nonlinear Dynamic Surface Control of Chaos in Permanent Magnet Synchronous Motor Based on the Minimum Weights of RBF Neural Network by Shaohua Luo

“…RBF neural network is used to approximate the nonlinearities and an adaptive law is employed to estimate unknown parameters. …”
Get full text

Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral Equations by Adrian Petruşel, Gabriela Petruşel

“…The coupled fixed points for mappings t1:X1×X2→X1 and t2:X1×X2→X2 are discussed and an application to a system of nonlinear integral equations is given.…”
Get full text

Some Real-Life Applications of a Newly Designed Algorithm for Nonlinear Equations and Its Dynamics via Computer Tools by Amir Naseem, M. A. Rehman, Jihad Younis

“…To demonstrate the applicability of the designed algorithm, we consider five real-life engineering problems in the form of nonlinear scalar functions and then solve them via computer tools. …”
Get full text

The Defining Relations for Nonlinear Elastic Bodies and Their Implementation in the Calculation of the Rotation Shells Subjected to Axisymmetric Loading Based on the Mixed FEM by N.A. Gureeva, Yu.V. Klotchkov, A.P. Nikolaev

“…The obtained relations were implemented in a mixed version of the finite element method to calculate the nonlinear elastic deformable rotation shells subjected to axisymmetric loading.…”
Get full text