Fractional Grassi–Miller Map Based on the Caputo h-Difference Operator: Linear Methods for Chaos Control and Synchronization by Ibtissem Talbi, Adel Ouannas, Giuseppe Grassi, Amina-Aicha Khennaoui, Viet-Thanh Pham, Dumitru Baleanu

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Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model by Adil Jhangeer, Beenish, Lubomír Říha

“…The model is transformed into a planar dynamical system via Galilean transformation, with phase portraits generated using bifurcation parameters. …”
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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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Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response by Prakash Daliparthi Bhanu, Vamsi Dasu Krishna Kiran

“…This article consists of a detailed and novel stochastic optimal control analysis of a coupled non-linear dynamical system. The state equations are modelled as an additional food-provided prey–predator system with Holling type III functional response for predator and intra-specific competition among predators. …”
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The characteristics study of a bounded fractional-order chaotic system: Complexity, and energy control by Qingzhe Wu, Juling Zhang, Miao Li, Hassan Saberi-Nik, Jan Awrejcewicz

“…The dynamics of a four-dimensional fractional-order (FO) dynamical system from the viewpoint of spectral entropy (SE), C0 complexity, and algorithm 0–1 are presented in detail in this article. …”
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Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model by Asti Meiza, Sutawanir Darwis, Agus Yodi Gunawan, Efi Fitriana

“…A sudden jump in the value of the state variable in a certain dynamical system can be studied through a catastrophe model. …”
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Structured Dynamics in the Algorithmic Agent by Giulio Ruffini, Francesca Castaldo, Jakub Vohryzek

“…Then, adopting a generic neural network as a proxy for the agent dynamical system and drawing parallels to Noether’s theorem in physics, we demonstrate that data tracking forces the agent to mirror the symmetry properties of the generative world model. …”
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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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Learning Discrete-Time Uncertain Nonlinear Systems With Probabilistic Safety and Stability Constraints by Iman Salehi, Tyler Taplin, Ashwin P. Dani

“…This paper presents a discrete-time dynamical system model learning method from demonstration while providing probabilistic guarantees on the safety and stability of the learned model. …”
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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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Soliton solutions, bifurcations, and sensitivity analysis to the higher-order nonlinear fractional Schrödinger equation in optical fibers by Md. Al Amin, M. Ali Akbar, M. Ashrafuzzaman Khan, Md. Sagib

“…Additionally, we used planar dynamical systems theory to investigate the bifurcation phenomena in the derived system. …”
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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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Maxwell origami tube by Rinki Imada, Tomohiro Tachi

“…This paper investigates how the eDOFs and bDOFs of the Maxwell origami tube depend on the crease patterns and folded states using a discrete dynamical system model. We find that ground states with zero and nonzero bDOFs can coexist within a single crease pattern. …”
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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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Applying fractional calculus to malware spread: A fractal-based approach to threat analysis. by Nausheen Razi, Muhammad Bilal Riaz, Ambreen Bano, Tayyab Kamran, Umar Ishtiaq, Anum Shafiq

“…We were interested in examining the impact of memory effects in this dynamical system in the sense of fractal fractional (FF) derivatives. …”
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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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