Initial Parameter Analysis about Resonant Orbits in Earth-Moon System by Li-Bo Liu, Ying-Jing Qian, Xiao-Dong Yang

Get full text

Regression Cloud Models and Their Applications in Energy Consumption of Data Center by Yanshuang Zhou, Na Li, Hong Li, Yongqiang Zhang

“…In this paper, we analyzed linear and nonlinear regression energy model based on performance counters and system utilization and proposed a support vector regression energy model. …”
Get full text

Automotive Occupant Dynamics Optimization by J.A. Bennett, G.J. Park

“…In addition the calculated response measures are usually highly nonlinear functions of the accelerations. Two approaches using an approximate problem formulation strategy are proposed. …”
Get full text

Bernstein Collocation Method for Solving MHD Jeffery–Hamel Blood Flow Problem with Error Estimations by Ahmad Sami Bataineh, Osman Rasit Isik, Ishak Hashim

“…In this paper, the Bernstein collocation method (BCM) is used for the first time to solve the nonlinear magnetohydrodynamics (MHD) Jeffery–Hamel arterial blood flow issue. …”
Get full text

Abundant Exact Soliton Solutions of the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation Based on the Jacobi Elliptic Function Ideas by Qinghao Zhu, Jianming Qi

“…HFSCE expounded the nonlinear long-range ferromagnetic ordering magnetism. …”
Get full text

Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum by Qiuzhen WAN, Zhaoteng ZHOU

“…Based on the traditional Qi chaotic system,a novel unified chaotic system with the complex chaotic characteristics was constructed by adding the control parameters and modifying the nonlinear terms.Firstly,basic dynamical characteristics of chaotic system were analyzed,and phase portrait,time domain waveform diagram,Poincare mapping and power spectrum diagram were numerically simulated.Secondly,system parameters influence on chaotic system was discussed through Lyapunov exponent spectrum,bifurcation diagrams and chaotic signal amplitude.It was found that the unified chaotic system can generate the four new types of two-wing chaotic attractors with the multi-parameter invariable Lyapunov exponent spectrum characteristics.Meanwhile,there exist the functions of the global and local nonlinear amplitude modulation parameters.Thirdly,taking the first chaotic attractor of system as an example by introducing the two new types of nonlinear functions,the expansion of grid multi-wing attractor was realized.Finally,the hardware circuit of novel unified chaotic system was constructed.The four new types of chaotic attractors are observed experimentally,which is consistent with numerical simulation results and verified the feasibility of the proposed system.…”
Get full text

INVESTIGATION ON ELASTIC CONTACT DYNAMIC STRESS OF A DEEP-GROOVE BALL BEARING BASED ON EXPLICIT DYNAMICS by TU WenBing, LUO Ya, WANG ChaoBing, ZHANG Long, CHEN QiPing

“…Considering the characteristic of elastic nonlinear contact in rolling element bearing,taking deep-groove ball bearing 6304 as investigation object,a flexible finite element dynamic model for contact nonlinear dynamic problem of a deep-groove ball bearing was established. …”
Get full text

Fully Kernected Neural Networks by Wei Zhang, Zhi Han, Xiai Chen, Baichen Liu, Huidi Jia, Yandong Tang

“…We find that improving nonlinear ability of DCNNs can break through the saturation accuracy. …”
Get full text

Structural Damage Identification Method Based on Parametric Boundary Condition Optimization by Wei Guo, Wei Jiang

“…According to the heterogeneous background interference, the subjective consciousness, inaccurate quantification, and high cost in practical engineering, a method of applying the Bouc–Wen hysteresis nonlinear model to hysteresis characteristics of rubber isolation bearings is proposed, and this method analyzes the sensitivity of nonlinear parameters of the Bouc–Wen hysteresis model and obtains the order of nonlinear parameters of hysteresis model under different sizes of excitation. …”
Get full text

Dimension Analysis-Based Model for Prediction of Shale Compressive Strength by Xiangyu Fan, Fenglin Xu, Lin Chen, Qiao Chen, Zhiwei Liu, Guanghua Yao, Wen Nie

“…More importantly, our dimension analysis-based model needs to determine only one parameter, whereas the multi-nonlinear-regression model needs to determine five. …”
Get full text

Significance of Marangoni convection in ethylene glycol base hybrid nanofluid flow with viscous dissipation through a porous medium by Ali Rehman, Ilyas Khan, Sultan Alshehery, Muhammad Sabaoon Khan

“…The authors applied appropriate transformations to convert a collection of dimension form of nonlinear partial differential equations to dimensionless form of nonlinear ordinary differential equations. …”
Get full text

Design of an Error-Based Adaptive Controller for a Flexible Robot Arm Using Dynamic Pole Motion Approach by Ki-Young Song, Madan M. Gupta, Noriyasu Homma

“…The purpose of this novel design approach is to make the system response reasonably fast with no overshoot, where the system may be time varying and nonlinear with only partially known dynamics. The E-BAC is implanted in a system as a nonlinear controller with two dominant dynamic parameters: the dynamic position feedback and the dynamic velocity feedback. …”
Get full text

Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method by Dianchen Lu, Muhammad Suleman, Jamshaid Ul Rahman, Samad Noeiaghdam, Ghulam Murtaza

“…The core aim of this study is to propose a novel computational procedure, namely, Elzaki transform iterative method to work out two-dimensional nonlinear time-fractional Zakharov–Kuznetsov equation numerically. …”
Get full text

The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces by Hua Su

“…By introducing new definitions of ϕ convex and -φ concave quasioperator and v0 quasilower and u0 quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed monotone Fredholm-type integral equations in Banach spaces. …”
Get full text

Stability of a positive equilibrium state for a stochastically perturbed mathematical model ofglassy-winged sharpshooter population by Leonid Shaikhet

“…The known nonlinear mathematical model of the Glassy-winged Sharpshooter is considered. …”
Get full text

Parameter Dependence of Stable Invariant Manifolds for Delay Differential Equations under (μ,ν)-Dichotomies by Lijun Pan

“…In addition, we also show that nonuniform (μ,ν)-contraction persists under sufficiently small nonlinear perturbations.…”
Get full text

A New Approach for Solving Fractional Partial Differential Equations by Fanwei Meng

“…We propose a new approach for solving fractional partial differential equations based on a nonlinear fractional complex transformation and the general Riccati equation and apply it to solve the nonlinear time fractional biological population model and the (4+1)-dimensional space-time fractional Fokas equation. …”
Get full text

The HPM Applied to MHD Nanofluid Flow over a Horizontal Stretching Plate by S. S. Nourazar, M. Habibi Matin, M. Simiari

“…The comparisons of the results show that the HPM has the capability of solving the nonlinear boundary layer MHD flow of nanofluid with sufficient accuracy.…”
Get full text

NUMERICAL SIMULATION OF MAGNETIC FIELD STRUCTURE IN CYLINDRICAL FILM SCREEN by G. F. Gromyko, V. T. Erofeenko, G. M. Zayats

“…A numerical method for solving the boundary value problem for a nonlinear magnetostatic equation describing the external magnetostatic field penetration through the cylindrical film coating is developed. …”
Get full text

Development of Fault Identification System for Electric Servo Actuators of Multilink Manipulators Using Logic-Dynamic Approach by V. Filaretov, A. Zuev, A. Zhirabok, A. Protsenko

“…These actuators are described by nonlinear equations with significantly changing coefficients. …”
Get full text