A Fractional Epidemiological Model for Bone Remodeling Process by Muath Awadalla, Yves Yannick Yameni Noupoue, Kinda Abuasbeh

“…The next goal is to investigate how similar is the proposed approach to the method based on system classical differential equations. The dynamical system of equations used is built upon three main parameters. …”
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Conceptualising ‘Cultural Landscape Commons’: Retracing Ecological Thinking from the Swiss Alpine Landscape to Social-Ecological Systems by Nicole de Lalouvière

“…This paper retraces the fundaments of the ‘nature-culture’ divide within the study of Swiss alpine ‘cultural landscape commons’, showing how this notion was shaped by early ecological thinking expressed through environmental determinism, dynamic systems, and cultural ecology. These fields of research are seen as precursors to some of the currently dominant concerns within commons scholarship more broadly: defining system boundaries, distinguishing endogenous from exogenous forces, and identifying change patterns over extended spatiotemporal scales. …”
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Soliton outcomes and dynamical properties of the fractional Phi-4 equation by Md Mostafa, Mohammad Safi Ullah

“…The dynamic characteristic of the governing model is investigated for its planar dynamical system by applying the bifurcation method. Under the given parameters, 2D and 3D phase portraits, time series, return map, Lyapunov exponent, recurrence plot, strange attractor, bifurcation diagram, and fractal dimension plot are provided. …”
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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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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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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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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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The Role of Constraints in a Segregation Model: The Asymmetric Case by Davide Radi, Laura Gardini, Viktor Avrutin

“…The model is described by a two-dimensional piecewise smooth dynamical system in discrete time, where the entry constraints represent possible exogenous controls imposed by an authority in order to regulate the maximum number of members of the two populations allowed to enter the system, usually the district in which they live in. …”
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Identification of Industrial Furnace Temperature for Sintering Process in Nuclear Fuel Fabrication Using NARX Neural Networks by Dede Sutarya, Benyamin Kusumoputro

“…The main contribution of this paper is to identify the appropriate model and structure to be applied in control temperature in the sintering process in nuclear fuel fabrication, that is, a nonlinear dynamical system. Satisfactory agreement between identified and experimental data is found with normalized sum square error 1.9e-03 for heating step and 6.3859e-08 for soaking step. …”
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Novel exploration of topological degree method for noninstantaneous impulsive fractional integro-differential equation through the application of filtering system by Kanagaraj Muthuselvan, Baskar Sundaravadivoo, Shankar Rao Munjam, Kottakkaran Sooppy Nisar

“…Using the Laplace transform method, we derive the solution representation of the given dynamical system and investigate the existence and uniqueness of the mild solution through the topological degree method and Gronwall’s inequality. …”
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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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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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The Existence and Structure of Rotational Systems in the Circle by Jayakumar Ramanathan

“…By a rotational system, we mean a closed subset X of the circle, T=R/Z, together with a continuous transformation f:X→X with the requirements that the dynamical system (X,f) be minimal and that f respect the standard orientation of T. …”
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Stability Analysis of SIRS Model considering Pulse Vaccination and Elimination Disturbance by Yanli Ma, Xuewu Zuo

“…Firstly, according to the stroboscopic mapping method of the discrete dynamical system, the disease-free T periodic solution of the model under the condition of pulse vaccination and pulse elimination is obtained. …”
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Integrating Sensor Technologies with Conversational AI: Enhancing Context-Sensitive Interaction Through Real-Time Data Fusion by Joseph C. Kush

“…Lastly, this article delves into the scientific principles supporting sensor technologies, data processing methods, and their fusion with generative models such as ChatGPT to develop adaptable, dynamic systems that engage with humans intelligently in real time. …”
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DYNAMIC BEHAVIOR AND SYNCHRONIZATION STUDY IN FITZHUGH-NAGUMO OSCILLATORS UNDER TIME DELAYS by YU RongRong, XI XiaoJian, Shang YunYan

“…The results indicate that the considered dynamical system is simple,but there is the phenomenon of inphase and out-of-phase dynamics. …”
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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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Flexible Modeling and Simulation Study for Two Speed Transmission of Electric Vehicle by Suqin Dou

“…Structural analysis and dynamical system calculating of a two speed transmission are carried out， which based on a certain type of electric vehicle， and the flexible simulation model of the transmission system is designed and established based on Adams/View platform. …”
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