Embedding responses in spontaneous neural activity shaped through sequential learning. by Tomoki Kurikawa, Kunihiko Kaneko

“…Memory recall from the memories-as-bifurcations viewpoint occurs when the spontaneous neural activity is changed to an appropriate output activity upon application of an input, known as a bifurcation in dynamical systems theory, wherein the input modifies the flow structure of the neural dynamics. …”
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Dynamics robustness of cascading systems. by Jonathan T Young, Tetsuhiro S Hatakeyama, Kunihiko Kaneko

“…Hence, robustness in time courses will be necessary for functional biochemical networks. Based on dynamical systems theory, we uncovered a general mechanism to achieve dynamics robustness. …”
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Musical creativity and the embodied mind by Dylan van der Schyff, Andrea Schiavio, Ashley Walton, Valerio Velardo, Anthony Chemero

“…We also explore how dynamical systems theory (DST) may offer useful tools for research and theory that align closely with the 4E perspective. …”
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A genealogical map of the concept of habit by Xabier E Barandiaran, Ezequiel Alejandro Di Paolo

“…These are properties that make habit a particularly attractive idea for embodied, enactive perspectives, which can now re-evaluate it in light of dynamical systems theory and complexity research.…”
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The Role of Data in Model Building and Prediction: A Survey Through Examples by Marco Baldovin, Fabio Cecconi, Massimo Cencini, Andrea Puglisi, Angelo Vulpiani

“…This short review discusses a few key examples from Physics, taken from dynamical systems theory, biophysics, and statistical mechanics, representing three paradigmatic procedures to build models and predictions from available data. …”
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How far neuroscience is from understanding brains by Per E. Roland

“…Time and space are regarded as mutually independent variables for spiking, post-synaptic events, and other measured variables, in contrast to experimental results. Dynamical systems theory and models describing evolution of variables with time as the independent variable are insufficient to account for central nervous system activities. …”
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Laboratory experiments reveal intrinsic self-sustained oscillations in ocean relevant rotating fluid flows by Stefano Pierini, Paola de Ruggiero, Maria Eletta Negretti, Ilana Schiller-Weiss, Julia Weiffenbach, Samuel Viboud, Thomas Valran, Henk A. Dijkstra, Joël Sommeria

“…The occurrence of these intrinsic self-sustained periodic or aperiodic oscillations depending on current intensity is well known in nonlinear dynamical systems theory and occurs in many real systems. It has been observed here for the first time in real rotating fluid flows and is thought to be highly relevant to explain low-frequency variability in ocean WBCs.…”
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Modeling oscillations in connected glacial lakes by Aaron G. Stubblefield, Timothy T. Creyts, Jonathan Kingslake, Marc Spiegelman

“…We analyze this model using dynamical systems theory to explain the appearance of filling–draining cycles as the meltwater supply varies.…”
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A Dynamical Model for the Low Efficiency of Induced Pluripotent Stem Cell Reprogramming (Extended Version) by Abdallah, Hussein, Qian, Yili, Del Vecchio, Domitilla

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A control theoretic framework for modular analysis and design of biomolecular networks by Del Vecchio, Domitilla

“…In this paper, we focus on retroactivity and review techniques, based on nonlinear control and dynamical systems theory, that we have developed to quantify the extent of modularity of biomolecular systems and to establish modular analysis and design techniques.…”
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Unraveling the control of cell cycle periods during intestinal stem cell differentiation by Ballweg, R, Lee, S, Han, X, Maini, P, Byrne, H, Hong, C, Zhang, T

“…After experimentally validating a model prediction, which showed that the Notch pathway can fine-tune the cell cycle period, we perform further model analysis which reveals that the change of cell cycle period accompanying ISC differentiation is likely controlled by a design principle that has been well studied in dynamical systems theory, a Saddle Node on Invariant Circle (SNIC) bifurcation. …”

Evolutionary musicology meets embodied cognition: Biocultural coevolution and the enactive origins of human musicality by van der Schyff, D, Schiavio, A

“…As we discuss, this approach draws on a range of research in theoretical biology, archeology, neuroscience, embodied and ecological cognition, and dynamical systems theory (DST), positing a more integrated model that sees biological and cultural dimensions as aspects of the same evolving system. …”

Sustainability under Active Inference by Albarracin, M, Ramstead, M, Pitliya, RJ, Hipolito, I, Da Costa, L, Raffa, M, Constant, A, Manski, SG

“…To model and quantify the interdependencies between resources and their impact on overall system sustainability, we introduce the application of network theory and dynamical systems theory. We emphasize the optimization of precision or learning rates through the active inference framework, advocating for an approach that fosters the elastic and plastic resilience necessary for long-term sustainability and abundance.…”

POSSIBLE MECHANISMS UNDERLYING THE THERAPEUTIC EFFECTS OF TRANSCRANIAL MAGNETIC STIMULATION by Alexander eChervyakov, Dmitry eSinitsyn, Dmitry eSinitsyn, Andrey eChernyavsky, Andrey eChernyavsky, Michael ePiradov

“…Finally, we discuss possible interpretations of TMS effects according to dynamical systems theory. Evidence suggests that a rTMS-induced magnetic field should be considered a separate physical factor that can be impactful at the subatomic level and that rTMS is capable of significantly altering the reactivity of molecules (radicals). …”
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Review article: Hilbert problems for the climate sciences in the 21st century – 20 years later by M. Ghil, M. Ghil, M. Ghil

“…The framework is that of dynamical systems theory, with an emphasis on successive bifurcations and the ergodic theory of nonlinear systems, on the one hand, and on pursuing this approach across a hierarchy of climate models, from the simplest, highly idealized ones to the most detailed ones. …”
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A dynamical systems approach to the surface search for debris associated with the disappearance of flight MH370 by V. J. García-Garrido, A. M. Mancho, S. Wiggins, C. Mendoza

“…Our approach to this problem is based on the use of Lagrangian descriptors (LD), a novel mathematical tool coming from dynamical systems theory that identifies dynamic barriers and coherent structures governing transport. …”
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Information Entropy as Quantifier of Potential Predictability in the Tropical Indo-Pacific Basin by Olawale J. Ikuyajolu, Olawale J. Ikuyajolu, Fabrizio Falasca, Annalisa Bracco, Annalisa Bracco

“…Here we build upon recent advances in non-linear dynamical systems theory and introduce the climate community to an information entropy quantifier based on recurrence. …”
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Chattering and congestion collapse in an overload switching control by Ohad Perry, Ward Whitt

“…Within deterministic dynamical systems theory, it is well known that sliding-mode controls can cause the system to chatter back and forth along the sliding manifold due to delays in activation of the control. …”
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It’s about time: Linking dynamical systems with human neuroimaging to understand the brain by Yohan J. John, Kayle S. Sawyer, Karthik Srinivasan, Eli J. Müller, Brandon R. Munn, James M. Shine

“…Here, we argue that dynamical systems theory provides the crucial mechanistic framework for characterizing both the brain’s time-varying quality and its partial stability in the face of perturbations, and hence, that this perspective can have a profound impact on the interpretation of human neuroimaging results and their relationship with behavior. …”
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NoLiTiA: An Open-Source Toolbox for Non-linear Time Series Analysis by Immo Weber, Carina R. Oehrn, Carina R. Oehrn

“…The core methodology derives from three distinct fields of complex systems theory, including dynamical systems theory, recurrence quantification analysis and information theory. …”
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