Oral English Development of EFL Learners from the Perspective of Complexity Dynamic Theory by Qiang Dou, Guohua Li, Yuan Tang

“…The purpose of this paper is to explore the learning situation of oral English of EFL learners from the perspective of the complex dynamic system theory and provide some new learning methods and suggestions for EFL learners’ oral English learning based on the research of complex dynamic system theory. …”
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Forecast of Chaotic Series in a Horizon Superior to the Inverse of the Maximum Lyapunov Exponent by Miguel Alfaro, Guillermo Fuertes, Manuel Vargas, Juan Sepúlveda, Matias Veloso-Poblete

“…The theory of the nonlinear dynamic systems indicates the capacity of making good-quality predictions of series coming from dynamic systems with chaotic behavior up to a temporal horizon determined by the inverse of the major Lyapunov exponent. …”
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Sequential Geometric Programming Method for Parameter Estimation of a Nonlinear System in Microbial Continuous Fermentation by Gongxian Xu, Zijia Liu

“…Some mathematical properties of the dynamical system in the microbial continuous fermentation are also presented. …”
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Research on a Cournot–Bertrand Game Model with Relative Profit Maximization by Yi-min Huang, Qiu-xiang Li, Yan-yan Guo, Yu-hao Zhang

“…The influence of product differentiation degree and the adjustment speed on the stability of the dynamic system is discussed. Furthermore, some complex properties and global stability of the dynamic system are explored. …”
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H1-Random Attractors and Asymptotic Smoothing Effect of Solutions for Stochastic Boussinesq Equations with Fluctuating Dynamical Boundary Conditions by Yijin Zhang

“…Using a method based on the theory of omega-limit compactness of a random dynamical system, we prove that the L2-random attractor for the generated random dynamical system is exactly the H1-random attractor. …”
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Power Forecasting of Combined Heating and Cooling Systems Based on Chaotic Time Series by Liu Hai, Song Yong, Du Qingfu

“…Chaos is an inherent property of nonlinear dynamic system. A predicator of the output power of the distributed generation system is to establish a nonlinear model of the dynamic system based on real time series in the reconstructed phase space. …”
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Dynamic analysis of Iran's oil and gas exports and sales revenue in the time horizon of 2050 by Paria Samadi Parviznejad, Ali Mohaghar

“…Also, three optimistic, moderate, and pessimistic scenarios were simulated in the dynamic system model. In the first scenario, the simulation was performed based on the changes in the oil price parameter in the future. …”
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Dynamic Analysis and Chaos Control of Bertrand Triopoly Based on Differentiated Products and Heterogeneous Expectations by Liuwei Zhao

“…Therefore, the chaotic behavior of the dynamical system is controlled by time-delay feedback control and the numerical analysis shows that the effective control of the dynamical system can be unstable behavior and the rapid recovery of the market can be stable and orderly.…”
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Hopf Bifurcation for a FitzHugh–Nagumo Model with Time Delay in a Network by Suxia Wang

“…A reaction diffusion system is used to study the interaction between species in a population dynamic system. It is not only used in a population dynamic system with the diffusion phenomenon but also used in physical chemistry, medicine, and animal and plant protection. …”
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Nonlinear Behaviors of Tail Dependence and Cross-Correlation of Financial Time Series Model by Wei Deng, Jun Wang

“…Nonlinear behaviors of tail dependence and cross-correlation of financial time series are reproduced and investigated by stochastic voter dynamic system. The voter process is a continuous-time Markov process and is one of the interacting dynamic systems. …”
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Efficient Neural Network Modeling for Flight and Space Dynamics Simulation by Ayman Hamdy Kassem

“…Nonlinear flight dynamic systems can be easily modeled by training its linearized models keeping the same network structure. …”
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Martelli Chaotic Properties of a Generalized Form of Zadeh’s Extension Principle by Yaoyao Lan, Chunlai Mu

“…It is known that a discrete dynamical system (X,f) naturally induces its fuzzified counterpart, that is, a discrete dynamical system on the space of fuzzy compact subsets of X. …”
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On the Motion of Harmonically Excited Spring Pendulum in Elliptic Path Near Resonances by T. S. Amer, M. A. Bek, I. S. Hamada

“…The response of a nonlinear multidegrees of freedom (M-DOF) for a nature dynamical system represented by a spring pendulum which moves in an elliptic path is investigated. …”
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A Prediction-Correction Dynamic Method for Large-Scale Generalized Eigenvalue Problems by Xin-long Luo, Jia-ru Lin, Wei-ling Wu

“…This paper gives a new prediction-correction method based on the dynamical system of differential-algebraic equations for the smallest generalized eigenvalue problem. …”
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Optimal Control of Anti-Angiogenesis and Radiation Treatments for Cancerous Tumor: Hybrid Indirect Solver by Iman Alimirzaei, Alaeddin Malek

“…This paper proposes a real-life volume reduction for cancer cells using optimal doses of radiation and an anti-angiogenic drug. A generalized dynamical system based on the diffusion-consumption equation along with stimulation and inhibition factors is proposed. …”
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Random Attractors for Stochastic Three-Component Reversible Gray-Scott System with Multiplicative White Noise by Anhui Gu

“…The paper is devoted to proving the existence of a compact random attractor for the random dynamical system generated by stochastic three-component reversible Gray-Scott system with multiplicative white noise.…”
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Dynamic Traffic Network Model and Time-Dependent Braess’ Paradox by Chunxue Zhao

“…Subsequently, we discuss the influence of other links on whether the adding link works under the dynamic system optimal. At last, we give the relationship between the total congestion under dynamic user equilibrium and that under dynamic system optimal. …”
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Study of Fixed Points and Chaos in Wave Propagation for the Generalized Damped Forced Korteweg-de Vries Equation using Bifurcation Analysis by Shruti Tomar, Naresh M. Chadha

“…We confirm the chaos in our dynamical system under various conditions with the help of Lyapunov exponents.…”
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The Holling Type II Population Model Subjected to Rapid Random Attacks of Predator by Jevgeņijs Carkovs, Jolanta Goldšteine, Kārlis Šadurskis

“…Assuming that the averaged dynamical system is the classic Holling type II population model with asymptotically stable limit cycle, we prove that the dynamics of stochastic model may be approximated with a two-dimensional Gaussian Markov process with unboundedly increasing variances.…”
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Random Attractors for Stochastic Three-Component Reversible Gray-Scott System on Infinite Lattices by Anhui Gu, Zhaojuan Wang, Shengfan Zhou

“…We prove the existence of a compact random attractor for the random dynamical system generated by stochastic three-component reversible Gray-Scott system with a multiplicative white noise on infinite lattices.…”
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