Dynamical systems approaches to the study of climate with applications to 2022 extreme weather events*** by Faranda Davide

“…In this manuscript I will describe how dynamical systems theory helps in building numerical and theoretical tools for weather extreme events, using recurrences of patterns termed analogues. …”
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Using Nonlinear Methods to Quantify Changes in Infant Limb Movements and Vocalizations by Drew Hamilton Abney, Anne S Warlaumont, Anna eHaussman, Jessica M Ross, Sebastian eWallot

“…The pairing of dynamical systems theory and complexity science brings novel concepts and methods to the study of infant motor development. …”
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Being a team player: Approaching team coordination in sports in dialog with ecological and praxeological approaches by Gerhard Thonhauser

“…A key proposal from dynamical systems theory is to conceptualize intra-team coordination in terms of synergies. …”
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Hybrid Modelling and Control of a Class of Power Converters With Triangular-Carrier PWM Inputs by Carolina Albea, Antonino Sferlazza, Fabio Gomez-Estern, Francisco Gordillo

“…In this paper, a new control design procedure for a class of power converters based on hybrid dynamical systems theory is presented. The continuous-time dynamics, as voltage and current signals, and discrete-time dynamics, as the on- off state of the switches, are captured with a hybrid model. …”
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The sensorimotor loop as a dynamical system: How regular motion primitives may emerge from self-organized limit cycles by Bulcsú eSándor, Tim eJahn, Laura eMartin, Claudius eGros

“…We investigate the sensorimotor loop of simple robots simulated within the LPZRobots environment from the point of view of dynamical systems theory. For a robot with a cylindrical shaped body and an actuator controlled by a single proprioceptual neuron we find various types of periodic motions in terms of stable limit cycles. …”
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Compositional Sequence Generation in the Entorhinal–Hippocampal System by Daniel C. McNamee, Kimberly L. Stachenfeld, Matthew M. Botvinick, Samuel J. Gershman

“…In a recent analysis through the lens of dynamical systems theory, we showed how grid coding can lead to the generation of a diversity of empirically observed sequential reactivations of hippocampal place cells corresponding to traversals of cognitive maps. …”
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The oscillating body: an enactive approach to the embodiment of emotions by Carlos Vara Sánchez

“…This concept from dynamical systems theory allows for an enactivist view of emotions as temporal episodes triggered by a tension that affects the rhythmic interaction between brain, body, and environment. …”
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Decision landscapes: visualizing mouse-tracking data by A. Zgonnikov, A. Aleni, P. T. Piiroinen, D. O'Hora, M. di Bernardo

“…Employing the dynamical systems theory framework, we develop a new method for generating decision landscapes based on arbitrary number of trajectories. …”
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On the non-randomness of modular arithmetic progressions: a solution to a problem by V. I. Arnold by Eda Cesaratto, Alain Plagne, Brigitte Vallée

“…This simplified expression is then estimated using the methodology of dynamical analysis, which operates with tools coming from dynamical systems theory. In conclusion, this study shows that modular arithmetic progressions are far from behaving like purely random sequences, according to Arnold's definition.…”
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Tractable nonlinear memory functions as a tool to capture and explain dynamical behaviors by Edgar Herrera-Delgado, James Briscoe, Peter Sollich

“…Mathematical approaches from dynamical systems theory are used in a range of fields. This includes biology where they are used to describe processes such as protein-protein interaction and gene regulatory networks. …”
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CA1 pyramidal cells have diverse biophysical properties, affected by development, experience, and aging by Erin C. McKiernan, Diano F. Marrone

“…Finally, we suggest directions that may be the most impactful in expanding this knowledge, including the use of text and data mining to systematically study cellular heterogeneity in more depth; dynamical systems theory to understand and potentially classify neuron firing patterns; and mathematical modeling to study the interaction between cellular properties and network output. …”
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Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation by Mati ur Rahman, Mei Sun, Salah Boulaaras, Dumitru Baleanu

“…We then employ principles from planar dynamical systems theory to explore the bifurcation phenomena exhibited within this derived system. …”
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Complex dynamics in learning complicated games. by Galla, T, Farmer, J

“…Our results suggest that, at least for some learning algorithms, there is a large parameter regime for which complicated strategic interactions generate inherently unpredictable behavior that is best described in the language of dynamical systems theory.…”

Effects of Boundary Proximity on Monodispersed Microbubbles in Ultrasonic Fields by Fatimah, Dzaharudin, Ooi, A., Manasseh, R.

“…The acoustic responses are analysed via techniques from dynamical systems theory such as Poincaré plots and bifurcation diagrams. …”
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Model scale versus domain knowledge in statistical forecasting of chaotic systems by William Gilpin

“…However, recent works disagree on whether specialized methods grounded in dynamical systems theory, such as reservoir computers or neural ordinary differential equations, outperform general-purpose large-scale learning methods such as transformers or recurrent neural networks. …”
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Nonlinear Dynamics and Chaos in Conformational Changes of Mechanical Metamaterials by Jason Z. Kim, Zhixin Lu, Ann S. Blevins, Dani S. Bassett

“…Here, we formulate a simple but powerful framework for designing fully nonlinear motions using concepts from dynamical systems theory. We demonstrate that a small network unit acts as a one-dimensional map between the distances across pairs of nodes, and we represent the act of combining units as an iteration of this map. …”
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Connectivity and dynamics in the olfactory bulb. by David E Chen Kersen, Gaia Tavoni, Vijay Balasubramanian

“…We propose an approach where we summarize anatomical information through dendritic geometry and density distributions which we use to calculate the connection probability between mitral and granule cells, while capturing activity patterns of each cell type in the neural dynamical systems theory of Izhikevich. In this way, we generate an efficient, anatomically and physiologically realistic large-scale model of the olfactory bulb network. …”
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Introduction to Supersymmetric Theory of Stochastics by Igor V. Ovchinnikov

“…This theory is based on dynamical systems theory, cohomological field theories, the theory of pseudo-Hermitian operators, and the conventional theory of SDEs. …”
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Fractional dynamics of globally slow transcription and its impact on deterministic genetic oscillation. by Kun Wei, Shilong Gao, Suchuan Zhong, Hong Ma

“…In dynamical systems theory, a system which can be described by differential equations is called a continuous dynamical system. …”
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Finite-time Lagrangian transport analysis: stable and unstable manifolds of hyperbolic trajectories and finite-time Lyapunov exponents by M. Branicki, S. Wiggins

“…The phenomena discovered and analysed in our examples point the way to a variety of directions for rigorous mathematical research in this rapidly developing and important area of dynamical systems theory.…”
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