Microswimmers in an axisymmetric vortex flow by José-Agustín Arguedas-Leiva, Michael Wilczek

“…Despite this simple setting, we find surprisingly rich dynamics, which can be comprehensively characterized in the framework of dynamical systems theory. By classifying the fixed-point structure of the underlying phase space as a function of motility and microswimmer shape, we uncover the topology of the phase space and determine the conditions under which microswimmers are trapped in the vortex. …”
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Tool Embodiment Is Reflected in Movement Multifractal Nonlinearity by Yvan Pratviel, Veronique Deschodt-Arsac, Florian Larrue, Laurent M. Arsac

“…Recent advances in neuroscience have linked dynamical systems theory to cognition. The main contention is that extended cognition relies on a unitary brain-body-tool system showing the expected signatures of interaction-dominance reflected in a multifractal behavior. …”
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Mathematical Analysis of Cytokine-Induced Differentiation of Granulocyte-Monocyte Progenitor Cells by Bronson R. Weston, Liwu Li, John J. Tyson

“…In this paper, we propose a mechanism of interacting CSF-receptors and transcription factors that control GMP differentiation, convert the mechanism into a set of differential equations, and explore the properties of this mathematical model using dynamical systems theory. Our model reproduces numerous experimental observations of GMP cell differentiation in response to varying dosages of G-CSF, M-CSF, and GM-CSF. …”
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From Nash Equilibria to Chain Recurrent Sets: An Algorithmic Solution Concept for Game Theory by Christos Papadimitriou, Georgios Piliouras

“…The Nash equilibria are fixpoints of the dynamics, but the system behavior is captured by an object far more general than the Nash equilibrium that is known in dynamical systems theory as chain recurrent set. Informally, once we focus on this solution concept—this notion of “the outcome of the game”—every game behaves like a potential game with the dynamics converging to these states. …”
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Optimal bacterial resource allocation: metabolite production in continuous bioreactors by Agustín Gabriel Yabo, Jean-Baptiste Caillau, Jean-Luc Gouzé

“…Further on, we study its asymptotic behavior using dynamical systems theory, and we provide conditions for the persistence of the bacterial population. …”
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Sufficient Controllability Condition for Affine Systems with Two-Dimensional Control and Two-Dimensional Zero Dynamics by D. A. Fetisov

“…</p><p>The obtained results can be used to solve various control problems in the dynamical systems theory.</p>…”
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Self-organization, free energy minimization, and optimal grip on a field of affordances by Jelle eBruineberg, Jelle eBruineberg, Jelle eBruineberg, Erik eRietveld, Erik eRietveld, Erik eRietveld

“…This framework should be able to integrate insights from several relevant disciplines: theory on embodied cognition, ecological psychology, phenomenology, dynamical systems theory, and neurodynamics. We suggest that the main task of Radical Embodied Cognitive Neuroscience is to investigate the phenomenon of skilled intentionality from the perspective of the self-organization of the brain-body-environment system, while doing justice to the phenomenology of skilled action. …”
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Dynamic effective connectivity by Tahereh S. Zarghami, Karl J. Friston

“…To this end, we appeal to biologically-grounded models (i.e., dynamic causal modelling, DCM) and dynamical systems theory (i.e., heteroclinic sequential dynamics) to create a probabilistic, generative model of haemodynamic fluctuations. …”
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Evolutionary dimension reduction in phenotypic space by Takuya U. Sato, Kunihiko Kaneko

“…Herein, we first formulated the dimension reduction in terms of dynamical systems theory: considering the steady growth state of cells, the reduction is represented by the separation of a few large singular values of the inverse Jacobian matrix around a fixed point. …”
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Sufficient Controllability Condition for Affine Systems with Two-Dimensional Control and Two-Dimensional Zero Dynamics by D. A. Fetisov

“…An example is given which illustrates how the proved condition can be used to prove the controllability of the six-dimensional affine system.The obtained results can be used to solve various control problems in the dynamical systems theory.DOI: 10.7463/mathm.0615.0823117…”
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A creative new normal: Who can we be in 20 years? by Ruth Richards

“…This article, from a new 2022 talk, continues discussion of Creativity, Chaos and Complexity (or NDS, nonlinear dynamical systems theory) from a 2021 keynote at the SOU Creativity Conference. …”
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Stabilization of unsteady flows by reduced-order control with optimally time-dependent modes by Blanchard, Antoine, Sapsis, Themistoklis P

“…In dynamical systems theory, suppression of instabilities around a fixed point is generally achieved by controlling the linearized dynamics of infinitesimal perturbations, because considering small-amplitude disturbances allows for application of a range of celebrated techniques from linear control theory. …”
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Systems-level analysis of the mitotic checkpoint by Hutter, L

“…</p> <p>Applying dynamical systems theory in the analysis of a live-cell imaging dataset following the degradation of APC/C:Cdc20-susbtrates in RPE1 and HeLa cells that are arrested in prometaphase and treated with different doses of CDK1 inhibitor, we present a simple mathematical model of the mitotic checkpoint as parsimonious explanation for the observed response to CDK1 inhibition. …”

A critical evaluation of dynamical systems models of bipolar disorder by Abraham Nunes, Selena Singh, Jared Allman, Suzanna Becker, Abigail Ortiz, Thomas Trappenberg, Martin Alda

“…The inherently temporal nature of BD has inspired its conceptualization using dynamical systems theory, which is a mathematical framework for understanding systems that evolve over time. …”
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Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport. by Simon Bellows, George Janes, Daniele Avitabile, John R King, Anthony Bishopp, Etienne Farcot

“…Instead, we use well-established techniques from dynamical systems theory to uncover and classify ranges of auxin patterns as exhaustively as possible as parameters are varied. …”
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Spatiotemporal postural control deficits are present in those with chronic ankle instability by McKeon Patrick O, Hertel Jay

“…A novel measurement technique derived from the dynamical systems theory of motor control known as Time-to-boundary (TTB) has shown promise in detecting deficits in postural control related to chronic ankle instability (CAI). …”
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Time scale and dimension analysis of a budding yeast cell cycle model by Novák Béla, Turányi Tamás, Zádor Judit, Zsély István, Csikász-Nagy Attila, Lovrics Anna

“…By analyzing the same model, using different methods of dynamical systems theory, we provide evidence for transitions among several different steady states during the budding yeast cell cycle.…”
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The sources of extreme precipitation predictability; the case of the ‘Wet’ Red Sea Trough by Assaf Hochman, Tair Plotnik, Francesco Marra, Elizabeth-Ruth Shehter, Shira Raveh-Rubin, Leehi Magaritz-Ronen

“…With this aim, we combine insights from traditional atmospheric analysis techniques, Lagrangian air-parcel backward trajectories, and dynamical systems theory. The latter describes atmospheric states via their local dimension (d) and inverse persistence (θ), which inform us of the intrinsic predictability of the atmosphere in phase space. …”
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Modeling the Epigenetic Attractors Landscape: Towards a Post-Genomic Mechanistic Understanding of Development by Jose eDavila-Velderrain, Jose eDavila-Velderrain, Juan Carlos eMartínez-García, Elena R. Alvarez-Buylla, Elena R. Alvarez-Buylla

“…In order to distinguish between the classical metaphorical EL proposal of Waddington, we refer to the Epigenetic Attractors Landscape (EAL), a proposal that is formally framed in the context of GRNs and dynamical systems theory. In this review we discuss recent EAL modeling strategies, their conceptual basis and their application in studying the emergence of both normal and pathological developmental processes. …”
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Emergence of in-line swimming patterns in zebrafish pairs by Maurizio Porfiri, Mert Karakaya, Raghu Ram Sattanapalle, Sean D. Peterson

“…Mathematically backed results presented herein support the application of dynamical systems theory to unveil the inner workings of fish collective behaviour.…”
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