Ghost hunting in the nonlinear dynamic machine. by Jonathan E Butner, Ascher K Munion, Brian R W Baucom, Alexander Wong

“…Integrating dynamic systems modeling and machine learning generates an exploratory nonlinear solution for analyzing dynamical systems-based data. Applying dynamical systems theory to the machine learning solution further provides a pathway to interpret the results. …”
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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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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 parameter-reduction methods on a biophysical model of an auditory hair cell by Joseph M. Marcinik, Martín A. Toderi, Dolores Bozovic

“…In this study, we develop systematic methods, applying statistical analysis and dynamical-systems theory, to reduce parameter count in a biophysical model. …”
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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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An analysis of the interaction between surface and basal crevasses in ice shelves by M. Zarrinderakht, C. Schoof, A. Peirce

“…We visualize the dynamics of crack growth using simple tools from dynamical systems theory and find that aligned cracks tend to impede each other's growth due to the torques generated by normal stresses on the crack faces, while periodically offset cracks facilitate simultaneous growth of bottom and top cracks. …”
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The application of topological data analysis to human motion recognition by Żelawski Marcin, Hachaj Tomasz

“…The classification process does not require the use of machine learning and dynamical systems theory. The proposed classifier achieves a total recognition rate of 0.975 and outperforms the state-of-theart methods (Hachaj, 2019) that use support vector machines and principal component analysis-based feature generation.…”
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Permutation Entropy: Too Complex a Measure for EEG Time Series? by Sebastian Berger, Gerhard Schneider, Eberhard F. Kochs, Denis Jordan

“…Permutation entropy (PeEn) is a complexity measure that originated from dynamical systems theory. Specifically engineered to be robustly applicable to real-world data, the quantity has since been utilised for a multitude of time series analysis tasks. …”
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Neural networks with optimized single-neuron adaptation uncover biologically plausible regularization. by Victor Geadah, Stefan Horoi, Giancarlo Kerg, Guy Wolf, Guillaume Lajoie

“…Using tools from dynamical systems theory, we analyze the role of these emergent single-neuron properties and argue that neural diversity and adaptation play an active regularization role, enabling neural circuits to optimally propagate information across time. …”
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Laboratory investigations of a chaotic flow using braid theory by Filippi, Margaux (Martin-Filippi)

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Long-term mindfulness meditation increases occurrence of sensory and attention brain states by Panitz, DY, Mendelsohn, A, Cabral, J, Berkovich-Ohana, A

“…Moreover, this study reinforces the utility of analytic approaches from dynamical systems theory to extend current knowledge regarding brain activity and evaluate its response to interventions.…”

Structured chaos shapes spike-response noise entropy in balanced neural networks by Guillaume eLajoie, Guillaume eLajoie, Guillaume eLajoie, Jean-Philippe eThivierge, Eric eShea-Brown, Eric eShea-Brown

“…The analysis is based on results from random dynamical systems theory and is complemented by detailed numerical simulations. …”
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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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A complex systems approach to the study of change in psychotherapy by Adele M. Hayes, Leigh A. Andrews

“…Some basic principles of change are presented from subdisciplines of complexity science that are particularly relevant to psychotherapy: dynamical systems theory, synergetics, and network theory. …”
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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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Robust transient dynamics and brain functions by Mikhail I Rabinovich, Pablo eVarona

“…In the last few decades several concepts of Dynamical Systems Theory (DST) have guided psychologists, cognitive scientists, and neuroscientists to rethink about sensory motor behavior and embodied cognition. …”
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A novel study of the impact of vaccination on pneumonia via fractional approach by Shyamsunder, S.D. Purohit

“…The governing model has been generalized from Caputo fractional derivatives, and the generalized Euler’s method has been used to calculate the approximate solution of the governing model. The dynamical systems theory examines the model’s stability analysis, basic reproduction number, and equilibrium points. …”
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Waddington landscape for prototype learning in generalized Hopfield networks by Nacer Eddine Boukacem, Allen Leary, Robin Thériault, Felix Gottlieb, Madhav Mani, Paul François

“…Memories can thus differentiate in a predictive and controlled way, revealing bridges between experimental biology, dynamical systems theory, and machine learning.…”
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Putting reins on the brain. How the body and environment use it. by Dobromir eDotov

“…Radical embodied cognitive neuroscience (RECN) will probably rely on dynamical systems theory (DST) and complex systems theory for methods and formalism. …”
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