An Alternate Iterative Differential Evolution Algorithm for Parameter Identification of Chaotic Systems by Wanli Xiang, Xuelei Meng, Meiqing An

“…At first, the parameter estimation of chaotic systems is mathematically formulated as a global continuous optimization problem. …”
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Growth Regimes in Japan and the United States in the 1990s by Hiroyuki Uni

“…For this purpose, we formalize mathematically and descriptively two-way routes between labour productivity growth and demand growth; these routes are known as ‘demand regime’ and ‘productivity regime’. …”
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On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs by F. N. Koumboulis, M. G. Skarpetis, B. G. Mertzios

“…The Euler equations, namely a set of nonlinear partial differential equations (PDEs), mathematically describing the dynamics of inviscid fluids are numerically integrated by directly modeling the original continuous-domain physical system by means of a discrete multidimensional passive (MD-passive) dynamic system, using principles of MD nonlinear digital filtering. …”
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Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect by Ruiwen Wu, Xiuxiang Liu

“…The blow-up method has been applied to investigate the structure of a neighborhood of the origin. Our mathematical results show the mate-finding Allee effect can reduce the complexity of system behaviors by making the complicated equilibrium less complicated, and it can be a destabilizing force as well, which makes the system has a high possibility of being threatened with extinction in ecology.…”
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A Novel Space-Time-Speed Method for Increasing the Passing Capacity with Safety Guaranteed of Railway Station by Junfeng Wang, Yang Yu, Renwei Kang, Jungang Wang

“…A method of variable train-approaching locking section is discussed; a mathematical model for increasing station passing capacity is shown. …”
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Vector Rayleigh Diffraction of High-Power Laser Diode Beam in Optical Communication by Qiang Xu, Renxian Li, Yuanyuan Zhang, Yiping Han, Zhensen Wu

“…Laser diodes (LDs) are widely used in optical wireless communication (OWC) and optical networks, and proper theoretical models are needed to precisely describe the complicated beam field of LDs. A novel mathematical model is proposed to describe the vectorial field of nonparaxial LD beams. …”
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Application of conical profile spindle-mandrel joints in multi-purpose machines by V. A. Ilyinykh

“…A comparative analysis of the mathematical expectations of contact stiffness of traditional and non-traditional conical profile split joints based on an equiaxial contour with a number of faces equal to three under external loading conditions is performed. …”
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Dynamic Evolution of the Zinc-Nickel Battery Industry and Evidence from China by Xiangze Shi, Xiao Li, Zijian He, Hui Jiang

“…This paper analyzes the development prospects of zinc-nickel battery industry, further investigates the industry competition in existing markets by mathematical modeling, calculates the equilibrium price and profit of the oligarch competition by using the method of Stackelberg equilibrium and Nash equilibrium, and makes a comparison between them. …”
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Comparison of the photoactivities of two commercial titanium dioxide powders in the degradation of 1,4-dioxane by M. Mehrvar, W. A. Anderson, M. Moo-Young

“…This was found both experimentally and also by mathematical modeling of the radiation within the photoreactor zone. …”
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Account of Mechanical Characteristics of Generalized Drive in Algorithm of Fast-Acting Self-Start of High-Voltage Synchronous Motors by V. V. Kourganau, U. V. Kryshneu, B. A. Vyaryga

“…Object of the investigation is control systems of high-voltage synchronous motors which are applied at industrial enterprises with continuous technological process.A mathematical model for the run-out of generalized assembly including a motor and a mechanism has been developed. …”
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Influence of wind disturbances and nonlinearities of servo drive on the contour of stabilization of the flight of height of unmanned aerial vehicle by V. A. Malkin, I. V. Rozhkov, A. A. San’ko

“…The article discusses a mathematical model of wind, taking into account its stochastic component and wind of a steady direction, presents the results of a comparative analysis of the effect of wind parameters on the total wind velocity vector acting on unmanned aerial vehicles (UAV). …”
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A Model for Evolution of Investors Behavior in Stock Market Based on Reinforcement Learning in Network by Xiaqun Liu, Yaming Zhuang, Jinsheng Li

“…Due to the heterogeneity of learning characteristics of bounded rational investors in investment decisions, we consider, respectively, the evolution mechanism of individual investors and institutional investors on the complex network theory and reinforcement learning theory. We perform mathematical analysis and simulation to further explain the evolution characteristics of investors behavior. …”
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High Reliable Relay Selection Approach for QoS Provisioning in Wireless Distributed Sensor Networks by Yong Jin

“…To address this problem, we focus on the reliable adaptive relay selection approach and adaptive QoS supported algorithm, based on which we present a Markov chain model, in consideration of different packet states and error control algorithm assignment. The mathematical analyses and NS-2 simulation results show that the proposed relay selection approach could perform better in terms of saturation throughput, reliability, and energy efficiency, compared with the traditional approaches. …”
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Oscillations for Nonlinear Neutral Delay Differential Equations with Variable Coefficients by Fatima N. Ahmed, Rokiah R. Ahmad, Ummul K. S. Din, Mohd S. M. Noorani

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Adaptive Exponential Synchronization of Coupled Complex Networks on General Graphs by Song Liu, Xianfeng Zhou, Wei Jiang, Yizheng Fan

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Dissolution of Metals from Biosolid-Treated Soils by Organic Acid Mixtures by Won-Pyo Park, Bon-Jun Koo, Andrew C. Chang, Thomas E. Ferko, Jonathan R. Parker, Tracy H. Ward, Stephanie V. Lara, Chau M. Nguyen

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First-Principles-Based Structural and Mechanical Properties of Al₃Ni Under High Pressure by Chuncai Xiao, Baiyuan Yang, Zhangli Lai, Zhiquan Chen, Huaiyang Yang, Hui Wang, Yunzhi Zhou, Xianshi Zeng

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Effects of Vertical Transmission and Human Contact on Zika Dynamics by Abdoulaye Sow, Cherif Diallo, Hocine Cherifi

“…Therefore, it is essential to spot the relative importance of the various factors contributing to the transmission and prevalence of the disease. Many mathematical models have been formulated incorporating vector-to-human transmission or human-to-human transmission. …”
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A novel breath pattern model and analysis to minimize patient discomfort in medical ventilators by M. Deepa, R. Vidhyapriya, A. S. Raagul

“…A typical natural breath pattern of a healthy adult was experimentally measured using a CITRIX breath analyser and the above mathematical model for the volume-controlled ventilation was found to closely describe the natural breathing process, using statistical parameters. …”
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Integrated Identification and Efficient Use of Biodiversity in Mountainous Regions by Mehdiyeva A. M., Mahmudova Z. A., Rustamova D. F., Mansurova D., Juraeva G.

“…Using a number of analytical research methods (hydrogeological, geochemical, geophysical, isotope, computer (mathematical) modeling and others) to solve these problems, we determine the foci of formation of reservoir conditions in individual horizons, migration routes, as well as quantitative and qualitative parameters of thermal waters. …”
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