Complexity Analysis on the Supply Chain of Brand Enterprise Countermeasures against Imitation Threats by Abudureheman Kadeer, Mingyu Zhao, Mengzhe Li

“…The conclusions are as follows: (1) The stable scope of the brand enterprise price adjustment enlarges with the increase of the adjustment parameters of new product quality and imitation price. (2) The attraction domain of the initial decisions of the counterfeit enterprise decreases when the brand enterprise makes dynamic decisions on new product quality; a higher new product quality adjustment parameter can reduce the imitation ability of the counterfeit enterprise. (3) With the growth of the degree of substitution between new products and existing products, the quality of new products is improved, the output of existing products is reduced, and the counterfeit enterprise withdraws from the market if the degree of substitution between existing products and imitations is high. (4) The dynamic system can suppress chaos and restore stability by using the delay feedback control method. …”
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Diagenetic Self-Organization and Stochastic Resonance in a Model of Limestone-Marl Sequences by Ivan L’Heureux

“…The model exhibits interesting features typical of nonlinear dynamical systems: (i) the existence of self-organized oscillating patterns between a calcite-rich mode (“limestone”) and a calcite-poor one (“marl”) for fixed environmental conditions and (ii) bistability between these two modes. …”
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On a Mathematical Model of Tumor-Immune Interaction with a Piecewise Differential and Integral Operator by Shahram Rezapour, Chernet Tuge Deressa, Robert G. Mukharlyamov, Sina Etemad

“…The representation of mathematical models via piecewise differential and integral operators for dynamic systems has this potential to capture cross-over behaviors such as a passage from deterministic to randomness which can be exhibited by different systems. …”
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A New Fractional-Order Map with Infinite Number of Equilibria and Its Encryption Application by Ahlem Gasri, Amina-Aicha Khennaoui, Adel Ouannas, Giuseppe Grassi, Apostolos Iatropoulos, Lazaros Moysis, Christos Volos

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A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors by Abdelfatah Kouidere, Abderrahim Labzai, Hanane Ferjouchia, Omar Balatif, Mostafa Rachik

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Chaotic Behavior Analysis of a New Incommensurate Fractional-Order Hopfield Neural Network System by Nadjette Debbouche, Adel Ouannas, Iqbal M. Batiha, Giuseppe Grassi, Mohammed K. A. Kaabar, Hadi Jahanshahi, Ayman A. Aly, Awad M. Aljuaid

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Trajectory tracking sliding mode control for vertical take-off and landing aircraft based on double loop and global Lipschitz stability. by Liang Du

“…To tackle this issue, the paper leverages the global asymptotic stability theorem for dynamic systems and develops a closed-loop system with global Lipschitz continuity, guaranteeing robust stability across both loops. …”
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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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Coupling Dynamic Behavior Characteristics of a Spacecraft Beam with Composite Laminated Structures and Large-Scale Motions by Bindi You, Zhihui Gao, Jianmin Wen, Yiming Sun, Peibo Hao, Dong Liang

“…To study the characteristics of a laminated composite beam attached to a spacecraft body for the dynamic systems, the deformation description of a laminated beam is established with the consideration of laying angles and laying layers, and the displacement-strain relations is acquired based on the global-local higher-order shear deformation theory. …”
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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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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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Control of Discrete Event Systems by Means of Discrete Optimization and Disjunctive Colored PNs: Application to Manufacturing Facilities by Juan-Ignacio Latorre-Biel, Emilio Jiménez-Macías, Mercedes Pérez de la Parte, Julio Blanco-Fernández, Eduardo Martínez-Cámara

“…With the purpose of improving the efficiency of a control methodology for discrete systems, based on a simulation-based optimization and the Petri net (PN) model of the real discrete event dynamic system (DEDS), this paper presents a strategy, where a transformation applied to the model allows removing the redundant information to obtain a smaller model containing the same useful information. …”
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On the Investigation of State Space Reconstruction of Nonlinear Aeroelastic Response Time Series by Flávio D. Marques, Eduardo M. Belo, Vilma A. Oliveira, José R. Rosolen, Andréia R. Simoni

“…Experimental data can provide suitable information to help the understanding of typical non-linear aeroelastic phenomena. Dynamic systems techniques based on time series analysis can be adequately applied to non-linear aeroelasticity. …”
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A Grey NGM(1,1,k) Self-Memory Coupling Prediction Model for Energy Consumption Prediction by Xiaojun Guo, Sifeng Liu, Lifeng Wu, Lingling Tang

“…It achieves organic integration of the self-memory principle of dynamic system and grey NGM(1,1,k) model. The traditional grey model’s weakness as being sensitive to initial value can be overcome by the self-memory principle. …”
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A Novel Particle Filter Based on One-Step Smoothing for Nonlinear Systems with Random One-Step Delay and Missing Measurements by Zhenrong Yang, Xing Zhang, Wenqian Xiang, Xiaohui Lin

“…It shows excellent state estimation performance when dealing with nonlinear and non-Gaussian dynamic systems. However, the particle filter has certain limitations in complex dynamic scenarios, with particle degradation being the most typical issue, which can significantly reduce estimation accuracy. …”
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Exploring the perspectives of child health strategy stakeholders on resilience and well-being in children and youths in Singapore: A qualitative study by Yee Keow Chiong, Kee Seng Chia

“… Resilience has been defined as the capacity of a dynamic system to adapt well to potential threats,1 while mitigating the negative impact of behavioural and physiological changes due to chronic stress,2 and the resumption of positive functioning thereafter.3 Resilience enables one to adapt positively to adversities in life and allows the transformation of toxic stress to tolerable stress. …”
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Postprocessing of Accidental Scenarios by Semi-Supervised Self-Organizing Maps by Francesco Di Maio, Roberta Rossetti, Enrico Zio

“…Integrated Deterministic and Probabilistic Safety Analysis (IDPSA) of dynamic systems calls for the development of efficient methods for accidental scenarios generation. …”
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Math-Phys-Chem Approaches to Life by Hitomi Kitaojima, Shigeru Kanemitsu

“…However, our disposition is not of reductionismic as have been most of approaches, but it is to the effect that such a complicated dynamic system as lives are not feasible for modelling or reducing to minor fragments, but rather belongs to the whole-ism. …”
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Transitions in intensive care: Investigating critical slowing down post extubation. by Lucinda Khalil, Sandip V George, Katherine L Brown, Samiran Ray, Simon Arridge

“…While immediate clinical utility is limited, the work marks an important first step towards using dynamical systems theory to understand the dynamics of signals measured at the bedside during intensive care.…”
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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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