Mathematical Modeling and Optimal Control Strategy for a Discrete Time Drug Consumption Model by Abderrahim Labzai, Abdelfatah Kouidere, Bouchaib Khajji, Omar Balatif, Mostafa Rachik

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Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors by David Marcos-Andrade, Francisco Beltran-Carbajal, Alexis Castelan-Perez, Ivan Rivas-Cambero, Jesús C. Hernández

“…Parameter identification in dynamical systems is a well-known problem with many applications in control design, system monitoring, and fault detection. …”
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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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Modeling some properties of circadian rhythms by Miguel Lara-Aparicio, Carolina Barriga-Montoya, Pablo Padilla-Longoria, Beatriz Fuentes-Pardo

“…Finally, we proposed a theoretical framework to study thephenomenon of synchronization in the context of circadian rhythms: thedissipative synchronization of nonautonomous dynamical systems.…”
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The work of Glenn F. Webb by William E. Fitzgibbon

“…At each stage we seeseminal contributions in the areas of nonlinear semigroups, functionaldifferential equations, infinite dimensional dynamical systems,mathematical population dynamics, mathematical biology and biomedical mathematics.Glenn's work is distinguished by a clarity and accessibility of exposition,a precise identification and description of the problem or model under consideration,and thorough referencing. …”
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A Novel Procedure in Scrutinizing a Cantilever Beam with Tip Mass: Analytic and Bifurcation by Asma Alanazy, Galal M. Moatimid, T. S. Amer, Mona A. A. Mohamed, M. K. Abohamer

“…It is found that the NPA is simple, attractive, promising, and powerful; it can be adopted for the highly nonlinear ODEs in different classes in dynamical systems in addition to fluid mechanics. Bifurcation diagrams, phase portraits, and Poincaré maps are used to study the chaotic behavior of the model, revealing various types of motion, including periodic and chaotic behavior.…”
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Robust Data-Driven Fault Detection: An Application to Aircraft Air Data Sensors by Yunmei Zhao, Hang Zhao, Jianliang Ai, Yiqun Dong

“…Fault detection (FD) is important for health monitoring and safe operation of dynamical systems. Previous studies use model-based approaches which are sensitive to system specifics, attenuating the robustness. …”
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A Discrete Mathematical Modeling of the Influence of Alcohol Treatment Centers on the Drinking Dynamics Using Optimal Control by Bouchaib Khajji, Abderrahim Labzai, Abdelfatah Kouidere, Omar Balatif, Mostafa Rachik

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Some Explicit Expressions and Interesting Bifurcation Phenomena for Nonlinear Waves in Generalized Zakharov Equations by Shaoyong Li, Rui Liu

“…Using bifurcation method of dynamical systems, we investigate the nonlinear waves for the generalized Zakharov equations utt-cs2uxx=β(|E|2)xx,  iEt+αExx-δ1uE+δ2|E|2E+δ3|E|4E=0, where α,β,δ1,δ2,δ3, and cs are real parameters, E=E(x,t) is a complex function, and u=u(x,t) is a real function. …”
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Multistability Analysis and Function Projective Synchronization in Relay Coupled Oscillators by Ahmad Taher Azar, Ngo Mouelas Adele, Kammogne Soup Tewa Alain, Romanic Kengne, Fotsin Hilaire Bertrand

“…In the coupling path, the outer dynamical systems show finite-time synchronization of their outputs, that is, displaying the same dynamics at exactly the same moment. …”
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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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Predicting Tipping Points in a Family of PWL Systems: Detecting Multistability via Linear Operators Properties by Joaquin Alvarez-gallegos, Sishu Shankar Muni, Hector Gilardi-velázquez, Rıcardo Cuesta-garcía, J. L. Echenausía-monroy

“…The study of dynamical systems is based on the solution of differential equations that may exhibit various behaviors, such as fixed points, limit cycles, periodic, quasi-periodic attractors, chaotic behavior, and coexistence of attractors, to name a few. …”
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On the Dynamical Complexity of a Seasonally Forced Discrete SIR Epidemic Model with a Constant Vaccination Strategy by Jalil Rashidinia, Mehri Sajjadian, Jorge Duarte, Cristina Januário, Nuno Martins

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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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Uncovering Deterministic Behavior of Black Hole IGR J17091–3624: A Twin of GRS 1915+105 by Anindya Guria, Banibrata Mukhopadhyay

“…We find signs of determinism in IGR J17091–3624, thus supporting the hypothesis of it being similar to GRS 1915+105, even as a dynamical system. Our findings not only shed light on the complex nature of IGR J17091–3624 but also pave the way for future research employing noise-reduction techniques to analyze nonlinearity in observed dynamical systems.…”
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A First Application of the Backward Technique in Social Sciences: Exploring Demographic Noise in a Model with Three Personality Types by Roberto Macrelli, Margherita Carletti, Vincenzo Fano

“…In the realm of dynamical systems described by deterministic differential equations used in biomathematical modeling, two types of random events influence the populations involved in the model: the first one is called environmental noise, due to factors external to the system; the second one is called demographic noise, deriving from the inherent randomness of the modeled phenomenon. …”
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The Discrete Ueda System and Its Fractional Order Version: Chaos, Stabilization and Synchronization by Louiza Diabi, Adel Ouannas, Amel Hioual, Giuseppe Grassi, Shaher Momani

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Biological arrow of time: emergence of tangled information hierarchies and self-modelling dynamics by Mikhail Prokopenko, Paul C W Davies, Michael Harré, Marcus G Heisler, Zdenka Kuncic, Geraint F Lewis, Ori Livson, Joseph T Lizier, Fernando E Rosas

“…In doing so, we consider biological organisms as hierarchical dynamical systems that generate regularities in their phase-spaces through interactions with their environment. …”
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Designing of a Personality Based Emotional Decision Model for Generating Various Emotional Behavior of Social Robots by Ho Seok Ahn

“…The personality-based emotional decision model is designed with four linear dynamics, viz. reactive dynamic system, internal dynamic system, emotional dynamic system, and behavior dynamic system. …”
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