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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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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Numerical Exploration of Kaldorian Interregional Macrodynamics: Enhanced Stability and Predominance of Period Doubling under Flexible Exchange Rates by Toichiro Asada, Christos Douskos, Vassilis Kalantonis, Panagiotis Markellos

“…The paper illustrates the feasibility and effectiveness of the numerical approach for dynamical systems of moderately high dimensionality and several parameters.…”
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TIE‐GCM ROPE ‐ Dimensionality Reduction: Part I by Piyush M. Mehta, Richard J. Licata

“…The methodology uses a page out of dynamical systems theory to first reduce the order of the state using dimensionality reduction and then modeling the temporal dynamics in the reduced state space. …”
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Symmetry breaking organizes the brain’s resting state manifold by Jan Fousek, Giovanni Rabuffo, Kashyap Gudibanda, Hiba Sheheitli, Spase Petkoski, Viktor Jirsa

“…Using a combination of computational modeling and dynamical systems analysis we provide a mechanistic description of the formation of a resting state manifold via the network connectivity. …”
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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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Multi-host transmission dynamics of schistosomiasis and its optimal control by Chunxiao Ding, Zhipeng Qiu, Huaiping Zhu

“…The dynamics of the model is rigorously analyzed by using the theory of dynamical systems. The theoretical results show that the disease free equilibrium is globally asymptotically stable if $\mathcal R_0<1 and="" if="" mathcal="" r_0="">1$ the system has only one positive equilibrium. …”
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On the Optimal Control of HIV-TB Co-Infection and Improvement of Workplace Productivity by Baba Seidu, Oluwole Daniel Makinde, Ibrahim Yakubu Seini

“…The impact of these diseases on workforce productivity is studied in this paper from the viewpoint of dynamical systems. In this paper, we present a nonlinear ordinary differential equation model to study the dynamics of HIV-TB co-infection and its effect on workforce productivity. …”
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Lump-type kink wave phenomena of the space-time fractional phi-four equation by Khudhayr A. Rashedi, Musawa Yahya Almusawa, Hassan Almusawa, Tariq S. Alshammari, Adel Almarashi

“…The conformable fractional derivative played the role of improving the modeling of the complex dynamical systems. The obtained solutions, which were illustrated by giving 2D, 3D MATLAB plots and contour illustrations, were s eful in nuclear, particle physics and fluid mechanics. …”
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Hamilton-Jacobi Reachability in Reinforcement Learning: A Survey by Milan Ganai, Sicun Gao, Sylvia L. Herbert

“…Previously, HJ reachability was restricted to verifying low-dimensional dynamical systems primarily because the computational complexity of the dynamic programming approach it relied on grows exponentially with the number of system states. …”
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The Use of Statistical Tests to Calibrate the Black-Scholes Asset Dynamics Model Applied to Pricing Options with Uncertain Volatility by Lorella Fatone, Francesca Mariani, Maria Cristina Recchioni, Francesco Zirilli

“…The method proposed here for calibrating the Black-Scholes dynamics model could be extended to other science and engineering models that may be expressed in terms of stochastic dynamical systems.…”
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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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Locally conformal symplectic manifolds by Izu Vaisman

“…L. c. s. manifolds can be seen as generalized phase spaces of Hamiltonian dynamical systems since the form of the Hamilton equations is, in fact, preserved by homothetic canonical transformations. …”
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Mathematical Modeling and Optimal Control Strategy for a Discrete Time Drug Consumption Model by Abderrahim Labzai, Abdelfatah Kouidere, Bouchaib Khajji, Omar Balatif, Mostafa Rachik

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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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Distributed Control of a Manufacturing System with One-Dimensional Cellular Automata by Irving Barragan-Vite, Juan C. Seck-Tuoh-Mora, Norberto Hernandez-Romero, Joselito Medina-Marin, Eva S. Hernandez-Gress

“…This is inspired by the fact that both cellular automata and manufacturing systems are discrete dynamical systems where local interactions given among their elements (resources) can lead to complex dynamics, despite the simple rules governing such interactions. …”
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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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The work of Glenn F. Webb by William E. Fitzgibbon

“…At each stage we seeseminal contributions in the areas of nonlinear semigroups, functionaldifferential equations, infinite dimensional dynamical systems,mathematical population dynamics, mathematical biology and biomedical mathematics.Glenn's work is distinguished by a clarity and accessibility of exposition,a precise identification and description of the problem or model under consideration,and thorough referencing. …”
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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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Robust Data-Driven Fault Detection: An Application to Aircraft Air Data Sensors by Yunmei Zhao, Hang Zhao, Jianliang Ai, Yiqun Dong

“…Fault detection (FD) is important for health monitoring and safe operation of dynamical systems. Previous studies use model-based approaches which are sensitive to system specifics, attenuating the robustness. …”
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