Dynamics of a brake system governed by modified Burridge-Knopoff-Pad model by Oma Nfor Nkeh, Akoni Brikly Njinabo, Waindim Yisa Tufoin Albert, Kenfack Djifack Hunnel

“…Result of numerical simulations clearly underscores the displacement and velocity profiles of the block-pad brake dynamical system.…”
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Maximum Likelihood Inference for Univariate Delay Differential Equation Models with Multiple Delays by Ahmed A. Mahmoud, Sarat C. Dass, Mohana S. Muthuvalu, Vijanth S. Asirvadam

“…Our methodology estimates correctly the delay parameters as well as other unknown parameters (such as the initial starting values) of the dynamical system based on simulation data. We also develop methodology to compute the information matrix and confidence intervals for all unknown parameters based on the likelihood inferential framework. …”
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Comparing Two Strategies to Model Uncertainties in Structural Dynamics by Rubens Sampaio, Edson Cataldo

“…In the modeling of dynamical systems, uncertainties are present and they must be taken into account to improve the prediction of the models. …”
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Analysis Approximate with Using Sumudu Adomian Decomposition Method for Solving SEIVR Epidemic Model by Zainab Mohammed Jouhda, Saad N. Ali AL-Azzawi

“…This model is a continuous dynamical system where the derivative is in fractional form. …”
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A TB model: Is disease eradication possible in India? by Surabhi Pandey, Ezio Venturino

“…We developed a simple model of TB transmission dynamics, using a dynamical system model, consisting of six classes of individuals. …”
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Invariant Measures Based on the U-Correlation Integral: An Application to the Study of Human Voice by Juan F. Restrepo, Gastón Schlotthauer

“…From these results, we can conclude that the voice production dynamical system is more complex in the presence of a pathology. …”
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Network Firewall Dynamics and the Subsaturation Stabilization of HIV by Bilal Khan, Kirk Dombrowski, Mohamed Saad, Katherine McLean, Samuel Friedman

“…We compute this new measure across simulated trajectories of a stochastic discrete dynamical system that models a social network of 25,000 individuals engaging in risk acts over a period of 15 years. …”
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From the Guest Editors by Fred Brauer, Carlos Castillo-Chavez, Thomas G. Hallam, Jia Li, Jianhong Wu, Yicang Zhou

“…Hence, it is not surprising to see his shift from an outstanding contributor to the field of dynamical systems to a pioneer in the field of mathematical biology. …”
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Neuronal Ensemble Decoding Using a Dynamical Maximum Entropy Model by Duho Sin, Jinsoo Kim, Jee Hyun Choi, Sung-Phil Kim

“…This decoder blends a dynamical system model of neural networks into the maximum entropy model to better suit for nonstationary circumstances. …”
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Effect of Intervention of Vaccination and Treatment on the Transmission Dynamics of HBV Disease: A Mathematical Model Analysis by Firaol Asfaw Wodajo, Temesgen Tibebu Mekonnen

“…We proved that the solution of the considered dynamical system is positive and bounded. The model is studied qualitatively using the stability theory of differential equations and the effective reproductive number which represents the epidemic indicator is obtained from the largest eigenvalue of the next-generation matrix. …”
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Analysis of Prey-Predator Scheme in Conjunction with Help and Gestation Delay by M. Mukherjee, D. Pal, S. K. Mahato, Ebenezer Bonyah, Ali Akbar Shaikh

“…This paper presents a three-dimensional continuous time dynamical system of three species, two of which are competing preys and one is a predator. …”
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ANALYTICAL SYNTHESIS OF FORCED PULSE ELECTRONIC DRIVE CONTROL OF A TRACKING SYSTEM by A. S. Abufanas, A. A. Lobaty, Y. F. Yacina

“…The problem of analytical synthesis of a control signal by a linear dynamical system is considered. As an optimization criterion, it is proposed to consider the transition time of the system from the initial state to a given final state. …”
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Quantum-Ordering Ambiguities in Weak Chern—Simons 4D Gravity and Metastability of the Condensate-Induced Inflation by Panagiotis Dorlis, Nick E. Mavromatos, Sotirios-Neilos Vlachos

“…On matching our results with the inflationary phenomenology, we fix the quantum-ordering ambiguities, and obtain an order-of-magnitude constraint on the String-Mass-Scale-to-Planck-Mass ratio, consistent with previous estimates by the authors in the framework of a dynamical-system approach to linear-axion RVM inflation. …”
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A proximal policy optimization based deep reinforcement learning framework for tracking control of a flexible robotic manipulator by Joshi Kumar V, Vinodh Kumar Elumalai

“…Identifying the optimal hyper-parameters of DRL using the grid search method, we exploit the capability of CNN in actor-critic architecture to extract the spatial dependencies in the state sequences of the dynamical system and boost the DRL performance. To improve the convergence of the proposed DRL algorithm, this study adopts the Lyapunov based reward shaping technique. …”
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A quantitative analysis of Koopman operator methods for system identification and predictions by Zhang, Christophe, Zuazua, Enrique

“…We give convergence and cost estimates for a data-driven system identification method: given an unknown dynamical system, the aim is to recover its vector field and its flow from trajectory data. …”
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Adaptive Kalman Filtering: Measurement and Process Noise Covariance Estimation Using Kalman Smoothing by Theresa Kruse, Thomas Griebel, Knut Graichen

“…For higher-dimensional problems, the convergence can be tested simulatively for the specific dynamical system. A detailed evaluation of various simulation scenarios is presented, demonstrating the accuracy and robustness of the proposed method.…”
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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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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 statistical approach to the use of control entropy identifies differences in constraints of gait in highly trained versus untrained runners by Rana D. Parshad, Stephen J. McGregor, Michael A. Busa, Joseph D. Skufca, Erik Bollt

“…Control entropy (CE) is a complexity analysis suitable fordynamic, non-stationary conditions which allows the inference of the control effort of a dynamical system generating the signal [4]. These characteristics make CE a highly relevant time varying quantity relevant to the dynamic physiological responses associated with running. …”
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Principal component analysis and its generalizations for any type of sequence (PCA-Seq) by V. M. Efimov, K. V. Efimov, V. Y. Kovaleva

“…By the beginning of the 1980s, Takens had shown that for a dynamical system such a method makes it possible to obtain an attractor from observing only one of these variables, thereby bringing the method to a powerful theoretical basis. …”
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