Asymptotic -Algebras from -Actions on Higher Rank Graphs by Inhyeop Yi

“…For a dynamical system arising from -action on a higher rank graph with finite vertex set, we show that the semidirect product of the asymptotic equivalence relation groupoid is essentially principal if and only if the -graph satisfies the aperiodic condition. …”
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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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A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey by Jianwen Jia, Chunhua Li

“…By using the discrete dynamical system determined by the stroboscopic map, we obtain the sufficient conditions for the existence and global attractivity of the “predator-extinction” periodic solution. …”
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Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity by Qing Meng, Bin He, Zhenyang Li

“…The (1 + 2)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity is studied using the factorization technique, bifurcation theory of dynamical system, and phase portraits analysis. From a dynamic point of view, the existence of smooth solitary wave, and kink and antikink waves is proved and all possible explicit parametric representations of these waves are presented.…”
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A Stochastic Weakly Damped, Forced KdV-BO Equation by Guolian Wang

“…We first show that the global solution generates a random dynamical system. By energy type estimates and dispersive properties, we then prove that this system possesses a weak random attractor in the space H1(ℝ).…”
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Permanence and Global Attractivity of a Discrete Logistic Model with Impulses by Chunyu Gao, Qingxi Guo

“…The constructed model is more easily implemented at computer and is a better analogue of the continuous-time dynamic system. The dynamic behaviors of the constructed model are investigated. …”
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Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting Repellers by Zongcheng Li

“…The controlled system is first reformulated into a high-dimensional discrete dynamical system. Then, a chaotification theorem based on the heteroclinic cycles connecting repellers for maps is established. …”
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A multi-base harmonic balance method applied to Hodgkin-Huxley model by Aymen Balti, Valentina Lanza, Moulay Aziz-Alaoui

“…Our aim is to propose a new robust and manageable technique, called multi-base harmonic balance method, to detect and characterize the periodic solutions of a nonlinear dynamical system. Our case test is the Hodgkin-Huxley model, one of the most realistic neuronal models in literature. …”
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Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications by Amjad Ali, Monairah Alansari, Fahim Uddin, Muhammad Arshad, Awais Asif, Ghada Ali Basendwah

“…At the end, we will give an application to prove the existence behavior for the system of functional equation in dynamical system and integral inclusion.…”
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Posterior Transpedicular Dynamic Stabilization versus Total Disc Replacement in the Treatment of Lumbar Painful Degenerative Disc Disease: A Comparison of Clinical Results by Tunc Oktenoglu, Ali Fahir Ozer, Mehdi Sasani, Yaprak Ataker, Cengiz Gomleksiz, Irfan Celebi

“…Conclusion. Both dynamic systems provided spine stability. However, the posterior dynamic system had a slight advantage over anterior disc prosthesis because of its convenient application and fewer possible complications.…”
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A New 6D Two-wing Hyperchaotic System: Dynamical Analysis, Circuit Design, and Sinchronization by Michael Kopp, Inna Samuilik

“…This paper introduces a novel 6D dynamic system derived from modified 3D Lorenz equations of the second type using state feedback control. …”
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Mathematical Modeling for Pharmaco-Kinetic and -Dynamic Predictions from Controlled Drug Release NanoSystems: A Comparative Parametric Study by Grigorios P. Panotopoulos, Ziyad S. Haidar

“…Predicting pharmacokinetics, based on the theory of dynamic systems, for an administered drug (whether intravenously, orally, intramuscularly, etc.), is an industrial and clinical challenge. …”
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Bifurcation of Traveling Wave Solutions of the Dual Ito Equation by Xinghua Fan, Shasha Li

“…By using the theory of planar dynamical system, we study the existence of its traveling wave solutions. …”
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Random Dynamics of the Stochastic Boussinesq Equations Driven by Lévy Noises by Jianhua Huang, Yuhong Li, Jinqiao Duan

“…Some fundamental properties of a subordinator Lévy process and the stochastic integral with respect to a Lévy process are discussed, and then the existence, uniqueness, regularity, and the random dynamical system generated by the stochastic Boussinesq equations are established. …”
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Approximate Solutions for Nash Differential Games by A. A. Megahed, A. A. Hemeda, H. F. A. Madkour

“…The necessary conditions for an open-loop Nash equilibrium solution are obtained, also the existence for the solution of the dynamical system of the differential game is studied. Picard method is used to find an approximate solution, and the uniform convergence is proved. …”
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Enhanced Adaptive Neural-Fuzzy Inference System for Dynamic Time Series Prediction Using Self-Feedback and Hybrid Training by Andrew Topper, Honglei Yao

“…Predicting time series, especially those originating from chaotic and nonlinear dynamic systems, is a critical research area with broad applications across various fields. …”
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A model of a wireless data network of dynamic information-controlling system by S. V. Kruglikov, I. V. Filipchenko, A. Y. Zalizkо, A. R. Bekish

“…Modeling the digital communication network with a packet transmission of messages is based on the aggregate approach of the description of complex dynamic systems. The approach considers the possibility to use adaptive properties of system elements and the basic functions of mobile network knots, and also effective methods of inter-elements interaction. …”
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Formation of Students' Readiness for Professional Design and Construction Activities Based on an Integrative Approach by Zh. О. Khakimov, F. M. Rakhmatova

“…The approach, stages, criteria and levels of development of design and engineering competencies among bachelors in technical areas of study are presented as an integral, multi-level dynamic system, as well as didactic components of the educational process. …”
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Stability of Stochastic Differential Delay Systems with Delayed Impulses by Yanlei Wu

“…Moreover, it is also shown that if a continuous dynamic system is stable, then, under some conditions, the delayed impulses do not destroy the stability of the systems. …”
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