Attractor States in Second Language Development by Ashley Beccia

“… Identifying changing patterns of stability and variability is crucial when examining second language development (SLD) from a complex dynamic systems theory (CDST) perspective (Larsen-Freeman, 2020). …”
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Partitioned Quasi-Newton Approximation for Direct Collocation Methods and Its Application to the Fuel-Optimal Control of a Diesel Engine by Jonas Asprion, Oscar Chinellato, Lino Guzzella

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Application of Bifurcation Method to the Generalized Zakharov Equations by Ming Song

“…We use the bifurcation method of dynamical systems to study the traveling wave solutions for the generalized Zakharov equations. …”
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()- model and counting algorithms in dynamic distributed systems by Zhiwei Yang, Weigang Wu, Yishun Chen, Xiaola Lin, Jiannong Cao

“…With the advance in mobile network-based systems, dynamic system has become one of the hotspots in fundamental study of distributed systems. …”
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Consumo alimentar e anticonsumismo: veganos e freeganos by Juliana Abonizio

“…Considering consumption as a dynamic system of world classification, I notice that such movements, by proposing an “anti-consumerist consumption”, act as a counterculture in relation to the society that enabled their emergence.…”
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Adaptation to Social Complexity by M. S. Negrova

“…Modern Society as a Complex Dynamic System is Affected by Unforeseen Fluctuations. …”
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Global Stability for Fractional Diffusion Equations in Biological Systems by Khalid Hattaf, Noura Yousfi

“…This paper proposes a new method of construction of Lyapunov functionals for the dynamical systems described by fractional differential equations and fractional partial differential equations. …”
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Dynamics of Nonlinear Coupled Electrostatic Micromechanical Resonators under Two-Frequency Parametric and External Excitations by Wen-Ming Zhang, Guang Meng, Ke-Xiang Wei

“…The results show that the dynamic system goes through a complex nonlinear vibration as the system parameters change. …”
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Adaptive Sliding Mode Fixed-Time Tracking Control Based on Fixed-Time Sliding Mode Disturbance Observer with Dead-Zone Input by Hongbin Wang, Bo Su, Yueling Wang, Jing Gao

“…Aiming at the problem of fixed-time trajectory tracking control for high-order dynamic systems with external time-varying disturbance and input dead-zone, an adaptive fixed-time sliding mode control algorithm is proposed by employing a fixed-time sliding mode disturbance observer (FTSMDO) and high-order fixed-time sliding mode algorithm. …”
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Mechanism Analysis of Strategy Choice of Bankruptcy Reorganization Participants under Government Incentive Mechanism by Danyu Zhao, Li Song

“…This study constructs an evolutionary game model of government, creditors, investors, and enterprises participating in bankruptcy reorganization, analyzes the strategy selection mechanism of the four parties under the government incentive mechanism, systematically analyzes the strategy selection process of each participant, discusses the effectiveness of government incentives in promoting the bankruptcy reorganization process, and finds out the stable point in the replication dynamic system. Finally, MATLAB 2018 software is used to numerically model the influence of key elements of the system. …”
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A Robust H∞ Controller for an UAV Flight Control System by J. López, R. Dormido, S. Dormido, J. P. Gómez

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Recent applications of fractional calculus to science and engineering by Lokenath Debnath

“…This paper deals with recent applications of fractional calculus to dynamical systems in control theory, electrical circuits with fractance, generalized voltage divider, viscoelasticity, fractional-order multipoles in electromagnetism, electrochemistry, tracer in fluid flows, and model of neurons in biology. …”
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Synchronization between two Hele-Shaw Cells by A. Bernardini, J. Bragard, H. Mancini

“…Complete synchronization between two Hele-Shaw cells is examined.The two dynamical systems are chaotic in time and spatiallyextended in two dimensions. …”
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Complete Controllability of Impulsive Fractional Linear Time-Invariant Systems with Delay by Xian-Feng Zhou, Song Liu, Wei Jiang

“…This paper is concerned with the complete controllability of impulsive fractional linear time-invariant dynamical systems with delay. The criteria on the controllability of the system, which is sufficient and necessary, are established by constructing suitable control inputs. …”
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Dynamic Investigation in Green Supply Chain considering Channel Service by Qiuxiang Li, Mengmeng Li, Yimin Huang

“…Considering firm’s innovation input of green products and channel service, this paper, in dynamic environment, studies a dynamic price game model in a dual-channel green supply chain and focuses on the effect of parameter changing on the pricing strategies and complexity of the dynamic system. Using dynamic theory, the complex behaviors of the dynamic system are discussed; besides, the parameter adaptation method is adopted to restrain the chaos phenomenon. …”
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Stabilization of a Wireless Networked Control System with Packet Loss and Time Delay: An ADS Approach by Jing Wang, Bingxin Shi, Jianjun Bai, Jinfeng Gao, Xiaosheng Fang

“…The system is modeled as an asynchronous dynamic system (ADS) with unstable subsystems. A sufficient condition for the system to be stable is presented. …”
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Topological Entropy of One Type of Nonoriented Lorenz-Type Maps by Guo Feng

“…Constructing a Poincaré map is a method that is often used to study high-dimensional dynamical systems. In this paper, a geometric model of nonoriented Lorenz-type attractor is studied using this method, and its dynamical property is described. …”
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Chaos in Ecology: The Topological Entropy of a Tritrophic Food Chain Model by Jorge Duarte, Cristina Januário, Nuno Martins

“…This work is still another illustration of the role that the theory of dynamical systems can play in the study of chaotic dynamics in life sciences.…”
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Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay by S. J. Sadati, D. Baleanu, A. Ranjbar, R. Ghaderi, T. Abdeljawad (Maraaba)

“…Fractional calculus started to play an important role for analysis of the evolution of the nonlinear dynamical systems which are important in various branches of science and engineering. …”
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Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System by S. S. Motsa, Y. Khan, S. Shateyi

“…The work shows that the proposed method provides good accuracy and can be easily extended to other dynamical systems including those that are chaotic in nature.…”
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