Electrical Switching in Thin Film Structures Based on Transition Metal Oxides by A. Pergament, G. Stefanovich, V. Malinenko, A. Velichko

“…Electrical switching, manifesting itself in the nonlinear current-voltage characteristics with S- and N-type NDR (negative differential resistance), is inherent in a variety of materials, in particular, transition metal oxides. …”
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Hamiltonian Dynamics and Adiabatic Invariants for Time-Dependent Superconducting Qubit-Oscillators and Resonators in Quantum Computing Systems by Jeong Ryeol Choi

“…Based on the results of our developments in this paper, perturbation theory is applicable to the research of quantum characteristics of more complicated qubit systems that are described by a time-dependent Hamiltonian involving nonlinear terms.…”
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ANALYSIS ON THE INFLUENCES OF TOOTH PROFILE MODIFICATION ON DYNAMIC LOAD IN A SPLIT PATH TRANSMISSION by DING RenLiang, WANG SanMin

“…For two branches of power transmission gear,the bending- torsion- shaft coupling dynamics model and the corresponding nonlinear dynamical equations are established in this paper,with considering the varying mesh stiffness,backlash and the tooth profile modification as a time-varying backlash. …”
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Solutions of Second-Order m-Point Boundary Value Problems for Impulsive Dynamic Equations on Time Scales by Xue Xu, Yong Wang

“…We study a general second-order m-point boundary value problems for nonlinear singular impulsive dynamic equations on time scales uΔ∇(t)+a(t)uΔ(t)+b(t)u(t)+q(t)f(t,u(t))=0,t∈(0,1),t≠tk,uΔ(tk+)=uΔ(tk)-Ik(u(tk)), and k=1,2,…,n,u(ρ(0))=0,u(σ(1))=∑i=1m-2αiu(ηi)‍. …”
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ANALYSIS OF FUNCTIONALLY GRADED GRAPHENE REINFORCED CIRCULAR PLATES SUBJECTED TO THERMO-MECHANICAL LOADS by MEI Jing, SHEN LuLu, YANG Bo

“…When the circular plate is subjected to a concentrated force at the center,the problem is transformed into that of an annular plate subjected to uniformly distributed shear forces along the inner boundary. The nonlinear temperature field caused by heat conduction is considered along the thickness direction of the plate. …”
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Leray–Schauder Fixed Point Theorems for Block Operator Matrix with an Application by Mohamed Amine Farid, El Miloudi Marhrani, Mohamed Aamri

“…We will also prove the existence of solutions for a coupled system of nonlinear equations with an example.…”
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Gearbox Fault Diagnosis based on LMD Approximate Entropy and PSO-ELM by Zhang Yuxue, Pan Hongxia

“…For the detection and identification problems of common faults in the use of gearbox,considering the nonlinear,non-stationary properties of the gearbox vibration response signal,a method for the gearbox fault diagnosis based on local mean decomposition（ LMD） approximate entropy and PSO-ELM is proposed.Firstly,the LMD decomposition method is used for gearbox vibration signal,with correlation coefficient method extracted the first four PF components which contain the main fault information. …”
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Computational Modelling of Blood Flow Development and Its Characteristics in Magnetic Environment by Gopal Chandra Shit

“…The governing coupled nonlinear differential equations of magnetohydrodynamic (MHD) fluid flow are reduced to a nondimensional form, which are then characterized by four dimensionless parameters. …”
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Design method of secure computing protocol for deep neural network by Renwan BI, Qianxin CHEN, Jinbo XIONG, Ximeng LIU

“…Aiming at the information leakage problem in the process of deep neural network model calculation,a series of secure and efficient interactive computing protocols were designed between two non-collusive edge servers in combination with the additive secret sharing scheme.Since the nonlinear function cannot be split directly,a set of basic conversion protocols were proposed to realize the secure conversion of additive and multiplicative shares.After a few invokes,the power,comparison,exponential,logarithm,division and other low-level functions can be calculated securely.Due to the characteristics of data transfer and computation,the proposed protocols can be extended to array computation.Theoretical analysis ensures the correctness,efficiency and security of these protocols.The experimental results show that the error of these protocols is negligible,and the computational costs and communication overhead are better than the existing schemes.…”
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$R_0$ and the global behavior of an age-structured SIS epidemic model with periodicity and vertical transmission by Toshikazu Kuniya, Mimmo Iannelli

“…We show that the spectral radius of the Fréchet derivative of a nonlinear integral operator plays the role of a threshold value for the global behavior of the model, that is, if the value is less than unity, then the disease-free steady state of the model is globally asymptotically stable, while if the value is greater than unity, then the model has a unique globally asymptotically stable endemic (nontrivial) periodic solution. …”
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RESEARCH ON MODELING METHOD OF EQUIVALENT TURNING FORCE MODEL (MT) by WU MingZhou, ZHANG GuangPeng, GOU JianFeng, ZHANG Peng

“…The model is a turning force equivalent model of ideal turning tool with three nonlinear equations with equivalent principal deflection angle, equivalent edge inclination angle and equivalent normal forward angle as independent variables through the turning force experimental data and coordinate transformation matrix obtained by turning once. …”
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Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current by Sumit Ghosh

“…The energy and persistent current spectra for a relativistic fermion on a ring are studied in detail. The nonlinear nature of persistent current in relativistic regime and its dependence on particle mass and ring radius are analysed thoroughly. …”
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Effect of Ground Motion Directionality on Fragility Characteristics of a Highway Bridge by Swagata Banerjee Basu, Masanobu Shinozuka

“…This procedure uses nonlinear time history analysis and accounts for the effect of directionality in the form of fragility curves. …”
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The trajectory-coherent approximation and the system of moments for the Hartree type equation by V. V. Belov, A. Yu. Trifonov, A. V. Shapovalov

“…In constructing the semiclassically concentrated solutions, a set of Hamilton-Ehrenfest equations (equations for centered moments) is essentially used. The nonlinear superposition principle has been formulated for the class of semiclassically concentrated solutions of Hartree type equations. …”
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Anti-Unwinding Attitude Control with Fixed-Time Convergence for a Flexible Spacecraft by Chutiphon Pukdeboon, Anuchit Jitpattanakul

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On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems by El-Sayed M. E. Mostafa, Abdallah W. Aboutahoun, Fatma F. S. Omar

“…The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local solution. …”
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Dynamic and Contact Characteristic Analysis of Flexible Bearing of Harmonic Gear Drive based on Finite Element by Zhang Dongliang, Liu Fei

“…To the problems of flexible bearing has an important effect on the carrying capacity,transmission accuracy and life of the harmonic gear drive,a flexible bearing is regarded as the research object,the dynamic and contact characteristics of flexible bearing are analyzed based on ANSYS/LSDYNA nonlinear contact analysis method for comprehensive consideration of the factors such as bearing rotating speed,load and deformation and so on.The results show that the dynamic characteristics of flexible bearing outer ring in different positions are basically the same,the moved distance of rolling in long axis different distance is basic same,the velocity wave troughs alternating changes and the velocity decreases with increasing distance.The outer ring,rolling body stress concentrated near the long axis,stress wave troughs alternating changes,the stress value decreases away from the long axis;the rolling element and contact force on inner and outer is volatile,and basically the same with external load,and the keep contact force size is less volatile.…”
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A Memory-Based Hysteresis Model in Piezoelectric Actuators by Guilin Zhang, Chengjin Zhang, Jason Gu

“…Therefore, two, dominant curves are determined and expressed as continuous functions, and the other hysteresis curves are modeled using two dominant curves through nonlinear transforming of coordinate axis. In the event of memory saturation, a new converging point is used to compensate the model prediction error. …”
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Detection of the onset of numerical chaotic instabilities by lyapunov exponents by Alicia Serfaty De Markus

“…It is commonly found in the fixed-step numerical integration of nonlinear differential equations that the size of the integration step is opposite related to the numerical stability of the scheme and to the speed of computation. …”
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Dynamic Mean-Variance Model with Borrowing Constraint under the Constant Elasticity of Variance Process by Hao Chang, Xi-min Rong

“…Secondly, we use dynamic programming principle to get the Hamilton-Jacobi-Bellman (HJB) equation for the value function, which is a more sophisticated nonlinear second-order partial differential equation. …”
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