Erik M. Bollt

Appl. Netw. Sci., 2022

2021

Randomized Projection Learning Method forDynamic Mode Decomposition.

[BibT_eX]

[DOI]

Sudam Surasinghe

CoRR, 2021

Next Generation Reservoir Computing.

[BibT_eX]

[DOI]

Daniel J. Gauthier

Aaron Griffith

Wendson A. S. Barbosa

CoRR, 2021

Geometric considerations of a good dictionary for Koopman analysis of dynamical systems: Cardinality, "primary eigenfunction, " and efficient representation.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2021

2020

Intralayer Synchronization in Evolving Multiplex Hypernetworks: Analytical Approach.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2020

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

[BibT_eX]

[DOI]

J. Nonlinear Sci., 2020

On Geometry of Information Flow for Causal Inference.

[BibT_eX]

[DOI]

Sudam Surasinghe

Entropy, 2020

ERFit: Entropic Regression Fit Matlab Package, for Data-Driven System Identification of Underlying Dynamic Equations.

[BibT_eX]

[DOI]

CoRR, 2020

Data-Driven Learning of Boolean Networks and Functions by Optimal Causation Entropy Principle (BoCSE).

[BibT_eX]

[DOI]

CoRR, 2020

An Early Warning Sign of Critical Transition in The Antarctic Ice Sheet. A New Data Driven Tool for Spatiotemporal Tipping Point.

[BibT_eX]

[DOI]

CoRR, 2020

Informative Ranking of Stand Out Collections of Symptoms: A New Data-Driven Approach to Identify the Strong Warning Signs of COVID 19.

[BibT_eX]

[DOI]

CoRR, 2020

2019

A nonlinear dimensionality reduction framework using smooth geodesics.

[BibT_eX]

[DOI]

Kelum Gajamannage

Randy C. Paffenroth

Pattern Recognit., 2019

Geometric Considerations of a Good Dictionary for Koopman Analysis of Dynamical Systems.

[BibT_eX]

[DOI]

CoRR, 2019

How Entropic Regression Beats the Outliers Problem in Nonlinear System Identification.

[BibT_eX]

[DOI]

CoRR, 2019

An information-theoretic, all-scales approach to comparing networks.

[BibT_eX]

[DOI]

James P. Bagrow

Appl. Netw. Sci., 2019

2018

On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions.

[BibT_eX]

[DOI]

K. G. D. Sulalitha Priyankara

Qianxiao Li

Felix Dietrich

Ioannis G. Kevrekidis

SIAM J. Appl. Dyn. Syst., 2018

The Anatomy of Leadership in Collective Behaviour.

[BibT_eX]

[DOI]

CoRR, 2018

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

[BibT_eX]

[DOI]

Ioannis G. Kevrekidis

IEEE Access, 2018

2017

Quantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-Gyre.

[BibT_eX]

[DOI]

Sanjeeva Balasuriya

Int. J. Bifurc. Chaos, 2017

Geometric k-nearest neighbor estimation of entropy and mutual information.

[BibT_eX]

[DOI]

Warren M. Lord

CoRR, 2017

2016

Inference of Causal Information Flow in Collective Animal Behavior.

[BibT_eX]

[DOI]

Warren M. Lord

Nicholas T. Ouellette

IEEE Trans. Mol. Biol. Multi Scale Commun., 2016

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

[BibT_eX]

[DOI]

CoRR, 2016

Statistical Inverse Formulation of Optical Flow with Uncertainty Quantification.

[BibT_eX]

[DOI]

CoRR, 2016

2015

Causal Network Inference by Optimal Causation Entropy.

[BibT_eX]

[DOI]

Dane Taylor

SIAM J. Appl. Dyn. Syst., 2015

Shape Coherence and Finite-Time Curvature Evolution.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2015

A Low-Dimensional Principal Manifold as the "Attractor Backbone" of a Chaotic Beam System.

[BibT_eX]

[DOI]

Joseph D. Skufca

Int. J. Bifurc. Chaos, 2015

Detecting phase transitions in collective behavior using manifold's curvature.

[BibT_eX]

[DOI]

Kelum Gajamannage

CoRR, 2015

Dimensionality Reduction of Collective Motion by Principal Manifolds.

[BibT_eX]

[DOI]

CoRR, 2015

Identifying manifolds underlying group motion in Vicsek agents.

[BibT_eX]

[DOI]

CoRR, 2015

2014

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

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2014

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

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2014

Editorial Comment on the Special Issue of "Information in Dynamical Systems and Complex Systems".

[BibT_eX]

[DOI]

Entropy, 2014

Identifying the Coupling Structure in Complex Systems through the Optimal Causation Entropy Principle.

[BibT_eX]

[DOI]

Carlo Cafaro

Entropy, 2014

2013

The Bundle Plot: Evolution of Symbolic Space under the System parameter Changes.

[BibT_eX]

[DOI]

Jiongxuan Zheng

Joseph D. Skufca

Int. J. Bifurc. Chaos, 2013

Relatively Coherent Sets as a Hierarchical Partition Method.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2013

Applied and Computational Measurable Dynamics.

[BibT_eX]

[DOI]

Naratip Santitissadeekorn

Mathematical modeling and computation 18, SIAM, ISBN: 978-1-61197-263-4, 2013

2012

Measurable Dynamics Analysis of Transport in the Gulf of Mexico during the Oil Spill.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2012

Synchronization as a Process of Sharing and Transferring Information.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2012

2010

Eigenposes: Using principal components to describe body configuration for analysis of postural control dynamics.

[BibT_eX]

[DOI]

Proceedings of the International Joint Conference on Neural Networks, 2010

2009

A Quiet Standing Index for Testing the Postural Sway of Healthy and Diabetic Adults Across a Range of Ages.

[BibT_eX]

[DOI]

IEEE Trans. Biomed. Eng., 2009

Constructing Generalized Synchronization Manifolds by Manifold Equation.

[BibT_eX]

[DOI]

Naratip Santitissadeekorn

Takashi Nishikawa

SIAM J. Appl. Dyn. Syst., 2009

Analysis and Modeling of an Experimental Device by Finite-Time Lyapunov Exponent Method.

[BibT_eX]

[DOI]

Douglas Bohl

Naratip Santitissadeekorn

Int. J. Bifurc. Chaos, 2009

Image Edge Respecting Denoising with Edge Denoising by a Designer Nonisotropic Structure Tensor Method.

[BibT_eX]

[DOI]

Comput. Methods Appl. Math., 2009

Graduated adaptive image denoising: local compromise between total variation and isotropic diffusion.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2009

Synchronization Stability of Coupled Near-Identical Oscillator Network.

[BibT_eX]

[DOI]

Takashi Nishikawa

Proceedings of the Complex Sciences, 2009

2008

Synchronization in Random Weighted Directed Networks.

[BibT_eX]

[DOI]

Maurizio Porfiri

IEEE Trans. Circuits Syst. I Regul. Pap., 2008

Basis Markov Partitions and Transition Matrices for Stochastic Systems.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2008

2007

Attractor Modeling and Empirical Nonlinear Model Reduction of dissipative Dynamical Systems.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2007

Stochastic synchronization over a moving neighborhood network.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2007

Stochastic synchronization over weighted directed networks.

[BibT_eX]

[DOI]

Maurizio Porfiri

Proceedings of the American Control Conference, 2007

2006

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

[BibT_eX]

[DOI]

D. Gray Roberson

SIAM J. Appl. Dyn. Syst., 2006

Active Aeroelastic Control of Lifting Surfaces via Jet Reaction Limiter Control.

[BibT_eX]

[DOI]

Christina Rubillo

Piergiovanni Marzocca

Luciano da Fontoura Costa

Int. J. Bifurc. Chaos, 2006

A Fast and Accurate Nonlinear Spectral Method for Image Recognition and Registration

[BibT_eX]

[DOI]

CoRR, 2006

Synchronization of time-varying networks under fast switching.

[BibT_eX]

[DOI]

D. Gray Roberson

Proceedings of the American Control Conference, 2006

2005

The Path towards a Longer Life: on Invariant Sets and the Escape Time Landscape.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2005

2004

One-Dimensional Continuous-Time Quantum Walks.

[BibT_eX]

[DOI]

Daniel ben-Avraham

Christino Tamon

Quantum Inf. Process., 2004

2003

Review of Chaos Communication by Feedback Control of Symbolic Dynamics.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2003

2002

A New and Simple Chaos Toy.

[BibT_eX]

[DOI]

Aaron Klebanoff

Int. J. Bifurc. Chaos, 2002

2001

Combinatorial Control of Global Dynamics in a Chaotic differential equation.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2001

2000

Model Selection, confidence and Scaling in Predicting Chaotic Time-Series.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2000

Controlling Chaos and the Inverse Frobenius-Perron Problem: Global stabilization of Arbitrary Invariant Measures.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2000

Controlling invariant density: an l<sup>∞</sup> solution to the inverse Frobenius-Perron problem.

[BibT_eX]

[DOI]