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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Exact Recovery for System Identification With More Corrupt Data Than Clean Data by Baturalp Yalcin, Haixiang Zhang, Javad Lavaei, Murat Arcak

“…This paper provides the first mathematical guarantee in the literature on learning from correlated data for dynamical systems in the case when there is less clean data than corrupt data.…”
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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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Toward a physics-guided machine learning approach for predicting chaotic systems dynamics by Liu Feng, Yang Liu, Benyun Shi, Jiming Liu

“…Empirical validation on six dynamical systems, each exhibiting unique chaotic behaviors, demonstrates that PGL achieves lower prediction errors than existing benchmark predictive models. …”
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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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Long-term mindfulness meditation increases occurrence of sensory and attention brain states by Daniel Yochai Panitz, Daniel Yochai Panitz, Daniel Yochai Panitz, Avi Mendelsohn, Avi Mendelsohn, Avi Mendelsohn, Joana Cabral, Joana Cabral, Joana Cabral, Aviva Berkovich-Ohana, Aviva Berkovich-Ohana

“…Moreover, this study reinforces the utility of analytic approaches from dynamical systems theory to extend current knowledge regarding brain activity and evaluate its response to interventions.…”
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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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Oral English Development of EFL Learners from the Perspective of Complexity Dynamic Theory by Qiang Dou, Guohua Li, Yuan Tang

“…The purpose of this paper is to explore the learning situation of oral English of EFL learners from the perspective of the complex dynamic system theory and provide some new learning methods and suggestions for EFL learners’ oral English learning based on the research of complex dynamic system theory. …”
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Forecast of Chaotic Series in a Horizon Superior to the Inverse of the Maximum Lyapunov Exponent by Miguel Alfaro, Guillermo Fuertes, Manuel Vargas, Juan Sepúlveda, Matias Veloso-Poblete

“…The theory of the nonlinear dynamic systems indicates the capacity of making good-quality predictions of series coming from dynamic systems with chaotic behavior up to a temporal horizon determined by the inverse of the major Lyapunov exponent. …”
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Model Reduction Methods for Rotor Dynamic Analysis: A Survey and Review by Matthew B. Wagner, Amir Younan, Paul Allaire, Randy Cogill

“…The focus of this literature survey and review is model reduction methods and their application to rotor dynamic systems. Rotor dynamic systems require careful consideration in their dynamic models as they include unsymmetric stiffness, localized nonproportional damping, and frequency-dependent gyroscopic effects. …”
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Sequential Geometric Programming Method for Parameter Estimation of a Nonlinear System in Microbial Continuous Fermentation by Gongxian Xu, Zijia Liu

“…Some mathematical properties of the dynamical system in the microbial continuous fermentation are also presented. …”
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