A Fully Operational Framework for Handling Cellular Automata Templates by Mauricio Verardo, Pedro P. B. de Oliveira

“…Cellular automata are fully discrete, computational, or dynamical systems, characterised by a local, totally decentralised action. …”
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Dynamic Processes, Fixed Points, Endpoints, Asymmetric Structures, and Investigations Related to Caristi, Nadler, and Banach in Uniform Spaces by Kazimierz Włodarczyk, Robert Plebaniak

“…One of the main key ideas in this paper is the application of our fixed point and endpoint version of Caristi type theorem for dissipative set-valued dynamic systems without lower semicontinuous entropies in uniform spaces with structures determined by J-families. …”
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Nonlinear Dynamics Induced by Coil Heat in the PMDC Motor and Control by André Cheukem, Alex Stéphane Kemnang Tsafack, Arnaud Ngonting Topy, Justin Roger Mboupda Pone

“…By using simple powerful tools of analyzing nonlinear dynamical systems like phase portraits, time traces and frequency spectrum in the MATLAB-SIMULINK environment, we showed that under certain conditions, the PMDC motor develops different behaviors so as periodic limited, and chaotic attractors, when the motor drive different form of external load torque and the windings resistance variation. …”
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GOLD VALUE WITH TRADABLE AND NON-TRADABLE GOODS IN A MULTI-COUNTRY GROWTH MODEL WITH FREE TRADE by Wei-Bin Zhang

“…We simulate the model to demonstrate the existence of an equilibrium point, motion of the dynamic system, and (local) stability of the equilibrium point. …”
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GOLD VALUE WITH TRADABLE AND NON-TRADABLE GOODS IN A MULTI-COUNTRY GROWTH MODEL WITH FREE TRADE by Wei-Bin Zhang

“…We simulate the model to demonstrate the existence of an equilibrium point, motion of the dynamic system, and (local) stability of the equilibrium point. …”
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Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow by Y. X. Hao, W. Zhang, S. B. Li, J. H. Zhang

“…Here, Galerkin’s method is employed to discretize this continuous nonlinear dynamic system to ordinary differential governing equations involving two degrees of freedom. …”
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Optical wave features and sensitivity analysis of a coupled fractional integrable system by Jan Muhammad, Usman Younas, D.K. Almutairi, Aziz Khan, Thabet Abdeljawad

“…The study of the dynamical systems governing the propagation of soliton waves across transcontinental and transoceanic distances through optical fibers is among the most intriguing fields of research. …”
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A comprehensive literature review of fuzzy differential equations with applications by Kamal Hossain Gazi, Aditi Biswas, Payal Singh, Mostafijur Rahaman, Suman Maity, Animesh Mahata, Sankar Prasad Mondal

“…Physical dynamical systems can be described through mathematical models using the theory of differential equations. …”
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Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay by Muhammad Shamrooz Aslam, Xisheng Dai

“…The descriptor systems are presented as Markovian jump systems which give a more realistic presentation for a variety of nonlinear dynamical systems than conventional state-space representation. …”
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Analysis on Multistable Motion Characteristics of Supercavitating Vehicle by Tianhong Xiong, Yipin Lv, Wenjun Yi

“…The results demonstrated that, unlike the ordinary dynamic systems, a supercavitating vehicle demonstrates multistable phenomena, such as the coexistence of the stable equilibrium point and the limit cycle and the coexistence of the limit cycle and the chaotic attractor, along with the coexistence of diversified limit cycles; under fixed system parameters, as the initial condition of launching varied, the vehicle displayed various motion states; in engineering practices, the initial condition of launching could be adjusted according to the domain of attraction, in order for the vehicle motion stability to be enhanced.…”
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Ecosystem changes after Early Cretaceous seawater intrusion into the proto-South Atlantic Ocean by Jian Ma, Leonardo F. Cury, Anelize M. B. Rumbelsperger, Heidi L. Albrecht, Erwin W. Adams, Joachim E. Amthor, Xingqian Cui, Antoine Crémière, Kei Sato, Kristin D. Bergmann, Roger E. Summons

“…Importantly, the sulfur-sequestered biomarkers reveal a dynamic system where redox-stratified and anoxic conditions were amplified along with a deepening chemocline through the marine transition.…”
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Modeling and Simulation of Control Actuation System with Fuzzy-PID Logic Controlled Brushless Motor Drives for Missiles Glider Applications by Murali Muniraj, Ramaswamy Arulmozhiyal

“…The proposed system will realize better rise time and less overshoot while operating in extreme nonlinear dynamic system conditions. A mathematical model of BLDC motor is derived in state space form. …”
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Design of an Error-Based Adaptive Controller for a Flexible Robot Arm Using Dynamic Pole Motion Approach by Ki-Young Song, Madan M. Gupta, Noriyasu Homma

“…Design of an adaptive controller for complex dynamic systems is a big challenge faced by the researchers. …”
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Normal Form for High-Dimensional Nonlinear System and Its Application to a Viscoelastic Moving Belt by S. P. Chen, Y. H. Qian

“…The improved method is described in detail by analyzing the four-dimensional nonlinear dynamical systems whose Jacobian matrices evaluated at an equilibrium point contain three different cases, that are, (i) two pairs of pure imaginary eigenvalues, (ii) one nonsemisimple double zero and a pair of pure imaginary eigenvalues, and (iii) two nonsemisimple double zero eigenvalues. …”
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Robust Tracking Control for Vehicle Lateral Dynamics with Uncertain Parameters and External Nonlinearities by Huihui Pan, Yifu Zhang, Weichao Sun

“…This paper focuses on the problem of tracking control for vehicle lateral dynamic systems and designs an adaptive robust controller (ARC) based on backstepping technology to improve vehicle handling and stability, in the presence of parameter uncertainties and external nonlinearities. …”
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Improving the Complexity of the Lorenz Dynamics by María Pilar Mareca, Borja Bordel

“…A new four-dimensional, hyperchaotic dynamic system, based on Lorenz dynamics, is presented. …”
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Dynamics Analysis and Intermittent Energy Feedback Control of m-HR Neuron Model under Electromagnetic Induction by Jiankui Peng, Suoping Li

“…Meanwhile, it should be emphasized that the intermittent control scheme has a wider range of regulation and robustness, which can be applied to other dynamical systems to obtain the desired oscillation modes. …”
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Neural Network and Hybrid Methods in Aircraft Modeling, Identification, and Control Problems by Gaurav Dhiman, Andrew Yu. Tiumentsev, Yury V. Tiumentsev

“…That is, it is required to solve also the identification problem for dynamical systems. We propose an approach to solving the above-mentioned problems based on artificial neural networks (ANNs) and hybrid technologies. …”
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Natural Frequencies and Modal Damping Ratios Identification of Civil Structures from Ambient Vibration Data by Minh-Nghi Ta, Joseph Lardiès, Berthillier Marc

“…Damping is a mechanism that dissipates vibration energy in dynamic systems and plays a key role in dynamic response prediction, vibration control as well as in structural health monitoring during service. …”
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Dynamical Models of Tuberculosis and Their Applications by Carlos Castillo-Chavez, Baojun Song

“…Most recently developed models not only payattention to simulations but also take care of dynamical analysisusing modern knowledge of dynamical systems. Questions addressed bythese models mainly concentrate on TB control strategies, optimalvaccination policies, approaches toward the elimination of TB in theU.S.A., TB co-infection with HIV/AIDS, drug-resistant TB, responsesof the immune system, impacts of demography, the role of publictransportation systems, and the impact of contact patterns. …”
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