STABILITY AND BIFURCATION OF PERIODIC MOTIONS OF THE PERMANENT MAGNET ROTOR SYSTEM WITH RUBBING by LAN HongWei

“…Established a two degrees of freedom model with discontinuous rigidity and damp for studying the response of the permanent magnet motor’s rotor and stator rubbing system,and there are abundant nonlinear dynamic behaviors when rubbing.the stability of periodic motions and the transitions to chaos though period-doubling bifurcations or Hopf bifurcations are studied based on Poincare mapping. …”
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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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Dynamics Simulation of Multistage Planetary Gear Transmission System based on LMS Motion by Zhang Zhonggang, Fang Bin, Xu Ming

“…The dynamics simulation model is established in LMS with the two- stage planetary gear system coupled model and considering the problem of nonlinear vibration of gear system. The frequency domain load map and time domain load map of gear meshing force of the system are obtained by simulation that can be used for the research of vibration and noise later. …”
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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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New Results for Set-Valued Mappings on Ordered Metric Spaces by F. Sabetghadam, H. P. Masiha, H. Aydi

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Nonlocal Boundary Value Problems for q-Difference Equations and Inclusions by Sotiris K. Ntouyas, Jessada Tariboon

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Ulam-Hyers Stability for MKC Mappings via Fixed Point Theory by Anisa Mukhtar Hassan, Erdal Karapınar, Hamed H. Alsulami

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Moment Lyapunov exponent of delay differential equations by M. S. Fofana

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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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