Dynamic Response of a Beam Resting on a Nonlinear Foundation to a Moving Load: Coiflet-Based Solution by Piotr Koziol, Zdzislaw Hryniewicz

“…The developed approach provides solutions for both transverse displacement and angular rotation of the beam, which allows parametric analysis of the investigated dynamic system to be conducted in an efficient manner. …”
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Bifurcation, Traveling Wave Solutions, and Stability Analysis of the Fractional Generalized Hirota–Satsuma Coupled KdV Equations by Zhao Li, Peng Li, Tianyong Han

“…Then, the traveling wave solutions of the fractional generalized Hirota–Satsuma coupled KdV equations corresponding to phase orbits are easily obtained by applying the method of planar dynamical systems; these solutions include not only the bell solitary wave solutions, kink solitary wave solutions, anti-kink solitary wave solutions, and periodic wave solutions but also Jacobian elliptic function solutions. …”
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Lump-type kink wave phenomena of the space-time fractional phi-four equation by Khudhayr A. Rashedi, Musawa Yahya Almusawa, Hassan Almusawa, Tariq S. Alshammari, Adel Almarashi

“…The conformable fractional derivative played the role of improving the modeling of the complex dynamical systems. The obtained solutions, which were illustrated by giving 2D, 3D MATLAB plots and contour illustrations, were s eful in nuclear, particle physics and fluid mechanics. …”
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Economic Growth and Foreign Direct Investment in Africa: The Mediating Role of State Fragility and Natural Resources. by Barugahara, Florence, Munyambonera, Ezra

“…Using data from 43 African countries from 2000-2018, the study employed the Dynamic System GMM approach to examine the moderating effect of state fragility and natural resources on the FDI–economic growth nexus. …”
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Self-organization and the Process of Dynamic Learner Language Development by Shan An

“… Adopting Complex Dynamic Systems Theory (CDST) in Second Language Acquisition (SLA) is a testament to the revolutionary and evolutionary advancement in theory and empirical practice in the field. …”
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Native Language Attrition or Expansion? Considerations About Lexical Reverse Transfer: A Case Study by Chłopek Zofia

“…A bi- or multilingual repertoire is a complex and dynamic system of languages (Herdina & Jessner, 2002; Herwig, 2001; Larsen-Freeman & Cameron, 2008; Stotz & Cardoso, 2022) which interact with each other and with the conceptual system (Kroll & Stewart, 1994; Pavlenko, 2009). …”
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Spectral study of COVID-19 pandemic in Japan: The dependence of spectral gradient on the population size of the community. by Ayako Sumi, Masayuki Koyama, Manato Katagiri, Norio Ohtomo

“…The results confirm that the power spectral densities (PSDs) of the data from each prefecture show exponential characteristics, which are universally observed in the PSDs of time series generated by nonlinear dynamical systems, such as the susceptible/exposed/infectious/recovered (SEIR) epidemic model. …”
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On the Possibility of the Jerk Derivative in Electrical Circuits by J. F. Gómez-Aguilar, J. Rosales-García, R. F. Escobar-Jiménez, M. G. López-López, V. M. Alvarado-Martínez, V. H. Olivares-Peregrino

“…A subclass of dynamical systems with a time rate of change of acceleration are called Newtonian jerky dynamics. …”
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A One-Point Third-Derivative Hybrid Multistep Technique for Solving Second-Order Oscillatory and Periodic Problems by Mufutau Ajani Rufai, Ali Shokri, Ezekiel Olaoluwa Omole

“…This research is significant because it has numerous applications to real-life phenomena such as chaotic dynamical systems, almost periodic problems, and duffing equations. …”
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Discovering and Characterizing Hidden Variables Using a Novel Neural Network Architecture: LO-Net by Soumi Ray, Tim Oates

“…Experiments show the utility of the proposed approach using discrete time dynamical systems, in which some of the state variables are hidden, and sensor data obtained from the camera of a mobile robot, in which the sizes and locations of objects in the visual field are observed but their sizes and locations (distances) in the three-dimensional world are not. …”
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Routes to Multiple Equilibria for Mass-Action Kinetic Systems by Antonio A. Alonso, Irene Otero-Muras, Manuel Pájaro

“…The study is performed on a class of polynomial dynamic systems that, under some mild assumptions, are able to accommodate in their state-space form weakly reversible mass-action kinetic networks. …”
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Analysis and Enhancements of a Prolific Macroscopic Model of Epilepsy by Christopher Fietkiewicz, Kenneth A. Loparo

“…Specifically, we analyze three aspects of the models: (1) Using dynamical systems analysis, we demonstrate and explain the presence of direct current potentials in the simulated EEG that were previously undocumented. (2) We explain how the system was not ideally formulated for numerical integration of stochastic differential equations. …”
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On the Properties of Reachability, Observability, Controllability, and Constructibility of Discrete-Time Positive Time-Invariant Linear Systems with Aperiodic Choice of the Samplin... by M. De la Sen

“…This paper investigates the properties of reachability, observability, controllability, and constructibility of positive discrete-time linear time-invariant dynamic systems when the sampling instants are chosen aperiodically. …”
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Holling-Tanner Predator-Prey Model with State-Dependent Feedback Control by Jin Yang, Guangyao Tang, Sanyi Tang

“…In this paper, we propose a novel Holling-Tanner model with impulsive control and then provide a detailed qualitative analysis by using theories of impulsive dynamical systems. The Poincaré map is first constructed based on the phase portraits of the model. …”
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Modelling and Qualitative Analysis of Water Hyacinth Ecological System with Two State-Dependent Impulse Controls by Jin-Bo Fu, Lan-Sun Chen

“…Firstly, we define the successor functions of semicontinuous dynamic system and give existence theorems of order-1 periodic solution and order-2 periodic solution of such system. …”
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Distributed Control of a Manufacturing System with One-Dimensional Cellular Automata by Irving Barragan-Vite, Juan C. Seck-Tuoh-Mora, Norberto Hernandez-Romero, Joselito Medina-Marin, Eva S. Hernandez-Gress

“…This is inspired by the fact that both cellular automata and manufacturing systems are discrete dynamical systems where local interactions given among their elements (resources) can lead to complex dynamics, despite the simple rules governing such interactions. …”
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Neural Network Assisted Inverse Dynamic Guidance for Terminally Constrained Entry Flight by Hao Zhou, Tawfiqur Rahman, Wanchun Chen

“…Applying this approximation, an inverse dynamic system for an entry flight is solved to generate guidance command. …”
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Quantized <italic>l</italic>&#x2082;-<italic>l</italic>&#x221E; Control for Nonlinear Discrete-Time Systems With DoS Attacks by Ying Tian, Ming-Yang Qiao

“…Unknown DoS attacks are defined and modeled in terms of attack frequency and attack duration. By adding dynamic system, an intermediate observer is designed to estimate the system states. …”
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Design of Robust Adaptive Observer against Measurement Noise for Sensorless Vector Control of Induction Motor Drives by Asma Boulmane, Youssef Zidani, Mohammed Chennani, Driss Belkhayat

“…This technique ensures the stability of the induction motor considered as nonlinear dynamic system. Since the Luenberger observer works on deterministic environment, and it is most effective when sensor noise is limited, the present study aims to design a robust observer insensitive to measurement noise and parametric variation integrated in a cascade structure. …”
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The Use of Statistical Tests to Calibrate the Black-Scholes Asset Dynamics Model Applied to Pricing Options with Uncertain Volatility by Lorella Fatone, Francesca Mariani, Maria Cristina Recchioni, Francesco Zirilli

“…The method proposed here for calibrating the Black-Scholes dynamics model could be extended to other science and engineering models that may be expressed in terms of stochastic dynamical systems.…”
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