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.…”
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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. …”
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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.…”
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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. …”
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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. …”
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The Improved Riccati Equation Method and Exact Solutions to mZK Equation by Xiaofeng Li

“…Of course, it is also effective to solve other nonlinear evolution equations in mathematical physics.…”
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Mixed Convective-Radiative Dissipative Magnetized Micropolar Nanofluid Flow over a Stretching Surface in Porous Media with Double Stratification and Chemical Reaction Effects: ADM-... by P. K. Pattnaik, M. M. Bhatti, S. R. Mishra, Munawwar Ali Abbas, O. Anwar Bég

“…Darcy’s model is employed for the porous medium and a Rosseland diffusion flux approximation for nonlinear thermal radiation. The nonlinear governing partial differential conservation equations are rendered into nonlinear ordinary differential equations via relevant transformations. …”
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Climate and Soil Properties Drive the Distribution of Minor and Trace Elements in Forest Soils of the Winter Olympic Core Area by Xiaochang Wu, Huayong Zhang, Zhongyu Wang, Wang Tian, Zhao Liu

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Effect of dynamic coupling in an inferior olive neuron model and synchronization by M. R. Tchuisseuh, P. Guemkam Ghomsi, A. C. Chamgoué, F. M. Moukam Kakmeni

“…The dynamical behavior of the new model is analyzed analytically using limit cycle prediction and numerically via the two-dimensional bifurcation diagrams with respect to two essential bifurcation parameters of the model. Taking the nonlinear function parameter a and two parameters from the coupling subsystem, the adaptive coupling parameter γ2 and the master–slave coupling strength b, as essential bifurcation parameters, the results show that a change of one of these parameters gives rise to complex dynamics such as periodic oscillations, period doubling scenarios, and chaotic states characterized by spike-bursting. …”
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Blood Pressure and Heart Rate Variability to Detect Vascular Dysregulation in Glaucoma by Eva Charlotte Koch, Johanna Staab, Matthias Fuest, Katharina Witt, Andreas Voss, Niklas Plange

“…Results. Using nonlinear methods, glaucoma patients were separated with more parameters compared to linear methods. …”
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Transient bifurcation induced rocket acceleration leading to a relativistic bulk medium induced by designed high-intensity lasers by Ryutaro Matsui, Yasuaki Kishimoto

“…By exploring a different function of plasma regulated by nonlinear waves and their transient bifurcations, we propose a boosting scheme for an object consisting of pure solid hydrogen medium irradiated by spatiotemporally designed high-intensity lasers to nearly the speed of light. …”
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Bifurcation Study of Thin Plate with an All-Over Breathing Crack by Lihua Chen, Jian Xue, Zhijie Zhang, Wei Zhang

“…To compare with the effect of breathing crack on the plate, the nonlinear dynamic responses of open-crack plate and intact plate are analyzed too. …”
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Adaptive and Resilient Flight Control System for a Small Unmanned Aerial System by Gonzalo Garcia, Shahriar Keshmiri

“…Numerically estimated stability and control derivatives are obtained by delta-based methods. New nonlinear guidance logic, stable in Lyapunov sense, is developed to guide the aircraft. …”
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A Simple Chaotic Wien Bridge Oscillator with a Fractional-Order Memristor and Its Combination Synchronization for Efficient Antiattack Capability by Anitha Karthikeyan, Karthikeyan Rajagopal, Victor Kamdoum Tamba, Girma Adam, Ashokkumar Srinivasan

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Optimal LQG controller design for inverted pendulum systems using a comprehensive approach by Monika Rani, Sushma S. Kamlu

“…Abstract Controlling nonlinear systems, such as the inverted pendulum on a moving cart, presents a well-known challenge due to the system’s nonlinearities and highly coupled states. …”
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Transmission Error Analysis and Disturbance Optimization of Two-Stage Spur Gear Space Driven Mechanism with Large Inertia Load by Jianfeng Ma, Chao Li, Lingli Cui

“…For the nonlinear disturbance actual issues of the model space drive mechanism two-stage spur gear system, a nonlinear dynamic model of 14-DOF (degree of freedom) two-stage spur gear with time-varying stiffness and damping was established. …”
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Multipulse Heteroclinic Orbits and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate by Minghui Yao, Wei Zhang

“…This paper investigates the multipulse global bifurcations and chaotic dynamics for the nonlinear oscillations of the laminated composite piezoelectric rectangular plate by using an energy phase method in the resonant case. …”
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Mathematical model of penetration of cylindrical electromagnetic fields with axial symmetry through the plane screen from permalloy by V. Т. Erofeenko

“…For solution simplification of the boundary-value problem as a result of exclusion value the entering in nonlinear equation second-order infinitesimal, nonlinear task is transformed into linear task. …”
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A Contrast Source Inversion Algorithm Formulated Using the Log-Phase Formulation by Tonny Rubæk, Paul M. Meaney, Keith D. Paulsen

“…The contrast source inversion (CSI) algorithm was introduced for microwave imaging in 1997 and has since proven to be one of the most successful algorithms for nonlinear microwave tomography. In the CSI algorithm, the nonlinear integral equation, which must be solved to extract the constitutive electromagnetic parameters of the object under test from the microwave measurements, is represented by two linear equations, known as the data and the object equations. …”
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A Semi-Supervised Deep Network Embedding Approach Based on the Neighborhood Structure by Wenmao Wu, Zhizhou Yu, Jieyue He

“…To address these challenges, in this paper, we propose an effective network embedding method of Structural Labeled Locally Deep Nonlinear Embedding (SLLDNE). SLLDNE is designed to obtain highly nonlinear features through utilizing deep neural network while preserving the label information of the nodes by using a semi-supervised classifier component to improve the ability of discriminations. …”
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