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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Proportional entropy of normal cardiac dynamic and with arrhythmia in the Intensive Care Unit by Javier Oswaldo Rodriguez, Signed Esperanza Prieto Bohórquez, Catalina Correa, Juan Pardo, Yolanda Soracipa, Ricardo Beltrán, Gydnea Aguirre, Laura Méndez

“…<p>Background: Based on the theory of probability and not equiprobable entropy ratios in the context of dynamical systems theory, a methodology for cardiac dynamic evaluation was developed. …”
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Causality in Psychiatry: A Hybrid Symptom Network Construct Model by Gerald eYoung

“…The hybrid model hinges on good understanding of systems theory in which it is embedded, so that the article reviews in depth nonlinear dynamical systems theory (NLDST). The article applies the concept of emergent circular causality (Young, 2011) to symptom development, as well. …”
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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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Monitoring the daily evolution and extent of snow drought by B. J. Hatchett, A. M. Rhoades, D. J. McEvoy

“…Borrowing from dynamical systems theory, we applied phase diagrams to visually examine the daily evolution of snow water equivalent (SWE) and accumulated precipitation conditions in maritime, intermountain, and continental snow climates in the wUS using station observations as well as spatially distributed estimates of SWE and precipitation. …”
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EntropyHub: An open-source toolkit for entropic time series analysis by Matthew W. Flood, Bernd Grimm

“…Entropy, as it relates to information theory and dynamical systems theory, can be estimated in many ways, with newly developed methods being continuously introduced in the scientific literature. …”
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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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Memory functions reveal structural properties of gene regulatory networks. by Edgar Herrera-Delgado, Ruben Perez-Carrasco, James Briscoe, Peter Sollich

“…Mathematical tools based on dynamical systems theory are often used to model these networks, but the size and complexity of these models mean that their behaviour is not always intuitive and the underlying mechanisms can be difficult to decipher. …”
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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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Topologically protected optical signal processing using parity–time-symmetric oscillation quenching by Yu Sunkyu, Piao Xianji, Park Namkyoo

“…The observed connection between the topological geometry of dynamical states, oscillation quenching phenomena in dynamical systems theory, and PT symmetry provides a powerful toolkit for noise-immune signal processing.…”
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