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Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting

SIAM journal on applied dynamical systems, 2014-01, Vol.13 (3), p.1106-1136

2014

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Causation entropy from symbolic representations of dynamical systems

Chaos (Woodbury, N.Y.), 2015-04, Vol.25 (4), p.43106

2015

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The essential synchronization backbone problem

Chaos (Woodbury, N.Y.), 2021-11, Vol.31 (11)

2021

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High resolution MEMS accelerometers to estimate VO2 and compare running mechanics between highly trained inter-collegiate and untrained runners

PloS one, 2009-10, Vol.4 (10), p.e7355-e7355

2009

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Sufficient Conditions for Fast Switching Synchronization in Time-Varying Network Topologies

SIAM journal on applied dynamical systems, 2006-01, Vol.5 (1), p.140-156

2006

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An observer for an occluded reaction-diffusion system with spatially varying parameters

Chaos (Woodbury, N.Y.), 2017-03, Vol.27 (3)

2017

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Analysis and classification of collective behavior using generative modeling and nonlinear manifold learning

Journal of theoretical biology, 2013-11, Vol.336, p.185-199

2013

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Interaction networks from discrete event data by Poisson multivariate mutual information estimation and information flow with applications from gene expression data

Applied network science, 2022-12, Vol.7 (1), p.1-22, Article 70

2022

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Is the Finite-Time Lyapunov Exponent Field a Koopman Eigenfunction?

Mathematics (Basel), 2021-11, Vol.9 (21), p.2731

2021

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Data fusion reconstruction of spatially embedded complex networks

Journal of complex networks, 2022-06, Vol.10 (4)

2022

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Editorial Comment on the Special Issue of “Information in Dynamical Systems and Complex Systems”

Entropy (Basel, Switzerland), 2014-09, Vol.16 (9), p.5068-5077

2014

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Go With the Flow, on Jupiter and Snow. Coherence from Model-Free Video Data Without Trajectories

Journal of nonlinear science, 2020-10, Vol.30 (5), p.2375-2404

2020

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Detecting phase transitions in collective behavior using manifold's curvature

Mathematical biosciences and engineering : MBE, 2017-04, Vol.14 (2), p.437-5

2017

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What is special about diffusion on scale-free nets?

New journal of physics, 2005-02, Vol.7, p.26-26

2005

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Autoencoding for the "Good Dictionary" of eigenpairs of the Koopman operator

AIMS mathematics, 2024, Vol.9 (1), p.998-1022

2024

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Spanning trees of recursive scale-free graphs

Physical review. E, 2022-02, Vol.105 (2), Article 024312

2022

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Stretching and folding in finite time

Chaos (Woodbury, N.Y.), 2016-02, Vol.26 (2)

2016

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Information-theoretical noninvasive damage detection in bridge structures

Chaos (Woodbury, N.Y.), 2016-11, Vol.26 (11)

2016

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Classification of collective behavior: a comparison of tracking and machine learning methods to study the effect of ambient light on fish shoaling

Behavior research methods, 2015-12, Vol.47 (4), p.1020-1031

2015

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Spatially dependent parameter estimation and nonlinear data assimilation by autosynchronization of a system of partial differential equations

Chaos (Woodbury, N.Y.), 2013-09, Vol.23 (3), p.033101-033101

2013

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Stochastic and mixed flower graphs

Physical review. E, 2020-05, Vol.101 (5), p.052315-052315, Article 052315

2020

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An Emergent Space for Distributed Data With Hidden Internal Order Through Manifold Learning

IEEE access, 2018, Vol.6, p.77402-77413

2018

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Modeling the lowest-cost splitting of a herd of cows by optimizing a cost function

Chaos (Woodbury, N.Y.), 2017-06, Vol.27 (6), p.063114

2017

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Modeling and nonlinear parameter estimation with Kronecker product representation for coupled oscillators and spatiotemporal systems

Physica. D, 2007-03, Vol.227 (1), p.78-99

2007

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RELATIVELY COHERENT SETS AS A HIERARCHICAL PARTITION METHOD

International journal of bifurcation and chaos in applied sciences and engineering, 2013-07, Vol.23 (7), p.1330026

2013

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Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting

Causation entropy from symbolic representations of dynamical systems

The essential synchronization backbone problem

High resolution MEMS accelerometers to estimate VO2 and compare running mechanics between highly trained inter-collegiate and untrained runners

Sufficient Conditions for Fast Switching Synchronization in Time-Varying Network Topologies

An observer for an occluded reaction-diffusion system with spatially varying parameters

Analysis and classification of collective behavior using generative modeling and nonlinear manifold learning

Interaction networks from discrete event data by Poisson multivariate mutual information estimation and information flow with applications from gene expression data

Is the Finite-Time Lyapunov Exponent Field a Koopman Eigenfunction?

Data fusion reconstruction of spatially embedded complex networks

Editorial Comment on the Special Issue of “Information in Dynamical Systems and Complex Systems”

Go With the Flow, on Jupiter and Snow. Coherence from Model-Free Video Data Without Trajectories

Detecting phase transitions in collective behavior using manifold's curvature

What is special about diffusion on scale-free nets?

Autoencoding for the "Good Dictionary" of eigenpairs of the Koopman operator

Spanning trees of recursive scale-free graphs

Stretching and folding in finite time

Information-theoretical noninvasive damage detection in bridge structures

Classification of collective behavior: a comparison of tracking and machine learning methods to study the effect of ambient light on fish shoaling

Spatially dependent parameter estimation and nonlinear data assimilation by autosynchronization of a system of partial differential equations

Stochastic and mixed flower graphs

An Emergent Space for Distributed Data With Hidden Internal Order Through Manifold Learning

Modeling the lowest-cost splitting of a herd of cows by optimizing a cost function

Modeling and nonlinear parameter estimation with Kronecker product representation for coupled oscillators and spatiotemporal systems

RELATIVELY COHERENT SETS AS A HIERARCHICAL PARTITION METHOD

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