Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments by Vladimir Aslanov

“…The dynamics of free gyrostats with zero internal torque is considered. The dimensionless nonlinear equations of the gyrostat are written in Serret-Andoyer canonical variables. …”
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Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations by Marwan Amin Kutbi, Nawab Hussain, Jamal Rezaei Roshan, Vahid Parvaneh

“…We also present an example as well as an application to nonlinear Fredholm integral equations in order to illustrate the effectiveness of our results.…”
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Upscaling Strategies of Porosity-Permeability Correlations in Reacting Environments from Pore-Scale Simulations by Nikolaos I. Prasianakis, Michael Gatschet, Aida Abbasi, Sergey V. Churakov

“…Such correlations follow a nonlinear trend, which is difficult to estimate a priori and without knowledge of the microstructure itself, especially under the presence of strong chemical gradients. …”
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Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media by Piyush R. Mistry, Vikas H. Pradhan, Khyati R. Desai

“…An approximate analytical solution of the governing nonlinear partial differential equation is obtained using variational iteration method with the use of Mathematica software.…”
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On Discrete-Time Multiallelic Evolutionary Dynamics Driven by Selection by Thierry E. Huillet

“…In the deterministic formulation, we construct a Markov process whose Master equation identifies with the nonlinear deterministic evolutionary equation. Then, we draw the attention on a class of fitness matrices that plays some role in the important matter of polymorphism: the class of strictly ultrametric fitness matrices. …”
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Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System by Shuang Song, Ning-ning Duan, An-jun Chen

“…The dropping damage evaluation for packaging system is essential for safe transportation and storage. A dynamic model of nonlinear cubic-quintic Duffing oscillator for the suspension spring packaging system was proposed. …”
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A Method for Determining the Optimal Location of a Distributed Sensor/Actuator by Byeongsik Ko, Benson H. Tongue, Andrew Packard

“…Using a property of controllability and observability grammian matrices, this approach employs a nonlinear optimization technique to determine the optimal placement of a distributed sensor/actuator. …”
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New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness by Wei-Shih Du

“…Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper. …”
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Chaos Control and Synchronization in Fractional-Order Lorenz-Like System by Sachin Bhalekar

“…Furthermore, we synchronize the system using nonlinear feedback.…”
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Group Analysis Explicit Power Series Solutions and Conservation Laws of the Time-Fractional Generalized Foam Drainage Equation by Maria Ihsane El Bahi, Khalid Hilal

“…With the help of the obtained Lie point symmetries, the equation is reduced to nonlinear fractional ordinary differential equations (NLFODEs) which contain the Erdélyi–Kober fractional differential operator. …”
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Vibrations of Plates and Shells with Attached Mass by L. U. Sultanov, I. R. Garifullin

“…The transition from the initial dynamic system to the solution of the final system of nonlinear ordinary differential equations was achieved by the Bubnov–Galerkin method. …”
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Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method by Du Mingjing, Yulan Wang

“…In the field of complex systems, there is a need for better methods of knowledge discovery due to their nonlinear dynamics. The numerical simulation of chaotic or hyperchaotic system is mainly performed by the fourth-order Runge–Kutta method, and other methods are rarely reported in previous work. …”
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Global analysis on a class of multi-group SEIR model with latency and relapse by Jinliang Wang, Hongying Shu

“…In this paper, we investigate the global dynamics of a multi-group SEIR epidemic model,allowing heterogeneity of the host population, delay in latency and delay due torelapsedistribution for the human population.Our results indicate that when certain restrictions on nonlinear growth rate and incidence are fulfilled, the basic reproduction number $\mathfrak{R}_0$ plays the key role of a global threshold parameter in the sense that the long-time behaviors of the model depend only on $\mathfrak{R}_0$. …”
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Association of the Ratio of Triglycerides to High-Density Lipoprotein Cholesterol Levels with the Risk of Type 2 Diabetes: A Retrospective Cohort Study in Beijing by Hongzhou Liu, Shuangtong Yan, Gang Chen, Bing Li, Ling Zhao, Yajing Wang, Xiaodong Hu, Xiaomeng Jia, Jingtao Dou, Yiming Mu, Junping Wen, Zhaohui Lyu

“…The aim of this study was to investigate the nonlinear relationship between TG/HDL-C and the incidence of T2DM in a Chinese population. …”
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Multistage Spectral Relaxation Method for Solving the Hyperchaotic Complex Systems by Hassan Saberi Nik, Paulo Rebelo

“…The proposed method, called the multistage spectral relaxation method (MSRM) is based on a technique of extending Gauss-Seidel type relaxation ideas to systems of nonlinear differential equations and using the Chebyshev pseudospectral methods to solve the resulting system on a sequence of multiple intervals. …”
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Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics by Hai-Feng Huo, Qian Wang

“…We develop a nonlinear mathematical model with the effect of awareness programs on the binge drinking. …”
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Experimental Study of a Broadband Parametric Acoustic Array for Sub-Bottom Profiling in Shallow Water by Ke Qu, Binbin Zou, Jingjing Chen, Yingge Guo, Runtian Wang

“…In tank experiments using the nonlinear parabolic wave (KZK) equation, the directivity, source level, parametric acoustic array length, and penetration depth were evaluated. …”
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A finite-dimensional reduction method for slightly supercritical elliptic problems by Riccardo Molle, Donato Passaseo

“…A suitable truncation argument allows us to work in the usual Sobolev space even in the presence of supercritical nonlinearities: we modify the supercritical term in such a way to have subcritical approximating problems; for these problems, the finite-dimensional reduction can be obtained applying the methods already developed in the subcritical case; finally, we show that, if the truncation is realized at a sufficiently large level, then the solutions of the approximating problems, given by these methods, also solve the supercritical problems when the parameter is small enough.…”
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Optical Measurement of Cable and String Vibration by Y. Achkire, A. Preumont

“…On the one hand, the sensor is used to monitor the cable vibrations of a small scale mock-up of a cable structure in order to validate the nonlinear cable dynamics model. On the other hand, the optical sensor is used to evaluate the performance of an active tendon control algorithm with guaranteed stability properties. …”
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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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