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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Quantum Long Short-Term Memory-Assisted Optimization for Efficient Vehicle Platooning in Connected and Autonomous Systems by Mahzabeen Emu, Taufiq Rahman, Salimur Choudhury, Kai Salomaa

“…This research not only enhances the predictability of autonomous vehicle platoons but also opens pathways for research into how quantum computing can be integrated into real-time dynamic systems analysis and control.…”
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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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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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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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Dynamics Analysis of Globoidal Indexing Cam Mechanism based on Rigid- flexible Coupling Model by Zhang Xingyu, Ge Zhenghao, Li Chengping, Zhang Shuanglin

“…Aiming at the globoidal cam indexing mechanism,considering the influence of elastic deformation,bending and twisting factor,combining the knowledge of rigid- flexible coupling dynamics system,a rigid- flexible coupling model of indexing cam mechanism is established by using the Pro / E,ADAMS,ANSYS,and the model is analyzed,a detailed description of the effects of speed,load on the dynamic performance of mechanism is carried out.…”
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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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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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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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Large-Eddy Simulation of the Flow Past a Circular Cylinder at Re = 130,000: Effects of Numerical Platforms and Single- and Double-Precision Arithmetic by Dmitry A. Lysenko

“…The reconstructed attractors of the dynamic systems in phase space are limited by an ellipsoid.…”
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Singular value decomposition of dynamic response of structures by Yu. A. Kolotovichev

“…This study confirmed the possibility of using displacement matrix SVD to determine the major dynamic parameters of linear dynamic systems: eigenmodes, eigenfrequencies and quantitative damping parameters. …”
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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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Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System by He Shanghong, Xie Jin, Cheng Jiefeng, Cui Qingyu

“…Furthermore,the edge of chaos of the dynamics system is obtained. The results are verified by the other methods of analysis chaos,such as bifurcation diagram,phase diagram,time domain waveform,and maximum Lyapunov exponent. …”
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