Controlling invariant density: an l∞ solution to the inverse Frobenius-Perron problem. - Erik M. Bollt (ISCAS, 2000)

Controlling Chaos and the Inverse Frobenius-Perron Problem: Global stabilization of Arbitrary Invariant Measures. - Erik M. Bollt (Int. J. Bifurc. Chaos, 2000)

Model Selection, confidence and Scaling in Predicting Chaotic Time-Series. - Erik M. Bollt (Int. J. Bifurc. Chaos, 2000)

Combinatorial Control of Global Dynamics in a Chaotic differential equation. - Erik M. Bollt (Int. J. Bifurc. Chaos, 2001)

A New and Simple Chaos Toy. - Erik M. Bollt; Aaron Klebanoff (Int. J. Bifurc. Chaos, 2002)

Review of Chaos Communication by Feedback Control of Symbolic Dynamics. - Erik M. Bollt (Int. J. Bifurc. Chaos, 2003)

One-Dimensional Continuous-Time Quantum Walks. - Daniel ben-Avraham; Erik M. Bollt; Christino Tamon (Quantum Inf. Process., 2004)

The Path towards a Longer Life: on Invariant Sets and the Escape Time Landscape. - Erik M. Bollt (Int. J. Bifurc. Chaos, 2005)

Synchronization of time-varying networks under fast switching. - Daniel J. Stilwell; Erik M. Bollt; D. Gray Roberson (ACC, 2006)

A Fast and Accurate Nonlinear Spectral Method for Image Recognition and Registration - Luciano da Fontoura Costa; Erik M. Bollt (CoRR, 2006)

Active Aeroelastic Control of Lifting Surfaces via Jet Reaction Limiter Control. - Christina Rubillo; Piergiovanni Marzocca; Erik M. Bollt (Int. J. Bifurc. Chaos, 2006)

Sufficient Conditions for Fast Switching Synchronization in Time-Varying Network Topologies. - Daniel J. Stilwell; Erik M. Bollt; D. Gray Roberson (SIAM J. Appl. Dyn. Syst., 2006)

Stochastic synchronization over weighted directed networks. - Maurizio Porfiri; Daniel J. Stilwell; Erik M. Bollt (ACC, 2007)

Stochastic synchronization over a moving neighborhood network. - Maurizio Porfiri; Daniel J. Stilwell; Erik M. Bollt; Joseph D. Skufca (ACC, 2007)

Attractor Modeling and Empirical Nonlinear Model Reduction of dissipative Dynamical Systems. - Erik M. Bollt (Int. J. Bifurc. Chaos, 2007)

Basis Markov Partitions and Transition Matrices for Stochastic Systems. - Erik M. Bollt; Pawel Góra; Andrzej Ostruszka; Karol Zyczkowski (SIAM J. Appl. Dyn. Syst., 2008)

Synchronization in Random Weighted Directed Networks. - Maurizio Porfiri; Daniel J. Stilwell; Erik M. Bollt (IEEE Trans. Circuits Syst. I Regul. Pap., 2008)

Synchronization Stability of Coupled Near-Identical Oscillator Network. - Jie Sun 007; Erik M. Bollt; Takashi Nishikawa (Complex (1), 2009)

Graduated adaptive image denoising: local compromise between total variation and isotropic diffusion. - Erik M. Bollt; Rick Chartrand; Selim Esedoglu; Pete Schultz; Kevin R. Vixie (Adv. Comput. Math., 2009)

Image Edge Respecting Denoising with Edge Denoising by a Designer Nonisotropic Structure Tensor Method. - Naratip Santitissadeekorn; Erik M. Bollt (Comput. Methods Appl. Math., 2009)

Analysis and Modeling of an Experimental Device by Finite-Time Lyapunov Exponent Method. - Naratip Santitissadeekorn; Douglas Bohl; Erik M. Bollt (Int. J. Bifurc. Chaos, 2009)

Constructing Generalized Synchronization Manifolds by Manifold Equation. - Jie Sun 007; Erik M. Bollt; Takashi Nishikawa (SIAM J. Appl. Dyn. Syst., 2009)

A Quiet Standing Index for Testing the Postural Sway of Healthy and Diabetic Adults Across a Range of Ages. - Robert J. Schilling; Erik M. Bollt; George D. Fulk; Joseph D. Skufca; Ahmad F. Al-Ajlouni; Charles J. Robinson (IEEE Trans. Biomed. Eng., 2009)

Eigenposes: Using principal components to describe body configuration for analysis of postural control dynamics. - Joseph D. Skufca; Erik M. Bollt; Rakesh Pilkar; Charles J. Robinson (IJCNN, 2010)

Synchronization as a Process of Sharing and Transferring Information. - Erik M. Bollt (Int. J. Bifurc. Chaos, 2012)

Measurable Dynamics Analysis of Transport in the Gulf of Mexico during the Oil Spill. - Erik M. Bollt; Aaron Luttman; Sean Kramer; Ranil Basnayake (Int. J. Bifurc. Chaos, 2012)

Applied and Computational Measurable Dynamics. - Erik M. Bollt; Naratip Santitissadeekorn (SIAM, 2013)

Relatively Coherent Sets as a Hierarchical Partition Method. - Tian Ma; Erik M. Bollt (Int. J. Bifurc. Chaos, 2013)

The Bundle Plot: Evolution of Symbolic Space under the System parameter Changes. - Jiongxuan Zheng; Joseph D. Skufca; Erik M. Bollt (Int. J. Bifurc. Chaos, 2013)

Identifying the Coupling Structure in Complex Systems through the Optimal Causation Entropy Principle. - Jie Sun 007; Carlo Cafaro; Erik M. Bollt (Entropy, 2014)

Editorial Comment on the Special Issue of "Information in Dynamical Systems and Complex Systems". - Erik M. Bollt; Jie Sun 007 (Entropy, 2014)

Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting. - Tian Ma; Erik M. Bollt (SIAM J. Appl. Dyn. Syst., 2014)

Erratum: Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting. - Tian Ma; Erik M. Bollt (SIAM J. Appl. Dyn. Syst., 2014)

Identifying manifolds underlying group motion in Vicsek agents. - Kelum Gajamannage; Sachit Butail; Maurizio Porfiri; Erik M. Bollt (CoRR, 2015)

Dimensionality Reduction of Collective Motion by Principal Manifolds. - Kelum Gajamannage; Sachit Butail; Maurizio Porfiri; Erik M. Bollt (CoRR, 2015)

Detecting phase transitions in collective behavior using manifold's curvature. - Kelum Gajamannage; Erik M. Bollt (CoRR, 2015)

A Low-Dimensional Principal Manifold as the "Attractor Backbone" of a Chaotic Beam System. - Erik M. Bollt; Joseph D. Skufca (Int. J. Bifurc. Chaos, 2015)

Shape Coherence and Finite-Time Curvature Evolution. - Tian Ma; Erik M. Bollt (Int. J. Bifurc. Chaos, 2015)

Causal Network Inference by Optimal Causation Entropy. - Jie Sun 007; Dane Taylor; Erik M. Bollt (SIAM J. Appl. Dyn. Syst., 2015)

Statistical Inverse Formulation of Optical Flow with Uncertainty Quantification. - Jie Sun 007; Erik M. Bollt (CoRR, 2016)

Modeling the lowest-cost splitting of a herd of cows by optimizing a cost function. - Kelum Gajamannage; Erik M. Bollt; Mason A. Porter; Marian S. Dawkins (CoRR, 2016)

Inference of Causal Information Flow in Collective Animal Behavior. - Warren M. Lord; Jie Sun 007; Nicholas T. Ouellette; Erik M. Bollt (IEEE Trans. Mol. Biol. Multi Scale Commun., 2016)

Geometric k-nearest neighbor estimation of entropy and mutual information. - Warren M. Lord; Jie Sun 007; Erik M. Bollt (CoRR, 2017)

Quantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-Gyre. - K. G. D. Sulalitha Priyankara; Sanjeeva Balasuriya; Erik M. Bollt (Int. J. Bifurc. Chaos, 2017)

An Emergent Space for Distributed Data With Hidden Internal Order Through Manifold Learning. - Felix P. Kemeth; Sindre W. Haugland; Felix Dietrich; Tom Bertalan; Kevin Höhlein; Qianxiao Li; Erik M. Bollt; Ronen Talmon; Katharina Krischer; Ioannis G. Kevrekidis (IEEE Access, 2018)

The Anatomy of Leadership in Collective Behaviour. - Joshua Garland; Andrew M. Berdahl; Jie Sun; Erik M. Bollt (CoRR, 2018)

On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions. - Erik M. Bollt; Qianxiao Li; Felix Dietrich; Ioannis G. Kevrekidis (SIAM J. Appl. Dyn. Syst., 2018)

An information-theoretic, all-scales approach to comparing networks. - James P. Bagrow; Erik M. Bollt (Appl. Netw. Sci., 2019)

How Entropic Regression Beats the Outliers Problem in Nonlinear System Identification. - Abd AlRahman R. AlMomani; Jie Sun; Erik M. Bollt (CoRR, 2019)

Geometric Considerations of a Good Dictionary for Koopman Analysis of Dynamical Systems. - Erik M. Bollt (CoRR, 2019)

A nonlinear dimensionality reduction framework using smooth geodesics. - Kelum Gajamannage; Randy C. Paffenroth; Erik M. Bollt (Pattern Recognit., 2019)

Informative Ranking of Stand Out Collections of Symptoms: A New Data-Driven Approach to Identify the Strong Warning Signs of COVID 19. - Abd AlRahman R. AlMomani; Erik M. Bollt (CoRR, 2020)

An Early Warning Sign of Critical Transition in The Antarctic Ice Sheet. A New Data Driven Tool for Spatiotemporal Tipping Point. - Abd AlRahman R. AlMomani; Erik M. Bollt (CoRR, 2020)

Data-Driven Learning of Boolean Networks and Functions by Optimal Causation Entropy Principle (BoCSE). - Jie Sun; Abd AlRahman R. AlMomani; Erik M. Bollt (CoRR, 2020)

ERFit: Entropic Regression Fit Matlab Package, for Data-Driven System Identification of Underlying Dynamic Equations. - Abd AlRahman R. AlMomani; Erik M. Bollt (CoRR, 2020)

On Geometry of Information Flow for Causal Inference. - Sudam Surasinghe; Erik M. Bollt (Entropy, 2020)

Go With the Flow, on Jupiter and Snow. Coherence from Model-Free Video Data Without Trajectories. - Abd AlRahman R. AlMomani; Erik M. Bollt (J. Nonlinear Sci., 2020)

Intralayer Synchronization in Evolving Multiplex Hypernetworks: Analytical Approach. - Sarbendu Rakshit; Bidesh K. Bera; Erik M. Bollt; Dibakar Ghosh (SIAM J. Appl. Dyn. Syst., 2020)

Geometric considerations of a good dictionary for Koopman analysis of dynamical systems: Cardinality, "primary eigenfunction, " and efficient representation. - Erik M. Bollt (Commun. Nonlinear Sci. Numer. Simul., 2021)

Next Generation Reservoir Computing. - Daniel J. Gauthier; Erik M. Bollt; Aaron Griffith; Wendson A. S. Barbosa (CoRR, 2021)

Randomized Projection Learning Method forDynamic Mode Decomposition. - Sudam Surasinghe; Erik M. Bollt (CoRR, 2021)

Interaction networks from discrete event data by Poisson multivariate mutual information estimation and information flow with applications from gene expression data. - Jeremie Fish; Jie Sun; Erik M. Bollt (Appl. Netw. Sci., 2022)

Recurrent Neural Networks for Dynamical Systems: Applications to Ordinary Differential Equations, Collective Motion, and Hydrological Modeling. - Yonggi Park; Kelum Gajamannage; Dilhani I. Jayathilake; Erik M. Bollt (CoRR, 2022)

How fragile is your network? More than you think. - Jeremie Fish; Mahesh Banavar; Erik M. Bollt (CoRR, 2022)

Learning Transfer Operators by Kernel Density Estimation. - Sudam Surasinghe; Jeremie Fish; Erik M. Bollt (CoRR, 2022)

Data-driven learning of Boolean networks and functions by optimal causation entropy principle. - Jie Sun 007; Abd AlRahman R. AlMomani; Erik M. Bollt (Patterns, 2022)

Data fusion reconstruction of spatially embedded complex networks. - Jie Sun 007; Fernando J. Quevedo; Erik M. Bollt (J. Complex Networks, 2022)

Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows. - K. G. D. Sulalitha Priyankara; Sanjeeva Balasuriya; Erik M. Bollt (SIAM J. Appl. Dyn. Syst., 2022)

Autoencoding for the 'Good Dictionary' of eigen pairs of the Koopman Operator. - Neranjaka Jayarathne; Erik M. Bollt (CoRR, 2023)

Tree-based Learning for High-Fidelity Prediction of Chaos. - Adam Giammarese; Kamal Rana; Erik M. Bollt; Nishant Malik (CoRR, 2024)

On Learning what to Learn: heterogeneous observations of dynamics and establishing (possibly causal) relations among them. - David W. Sroczynski; Felix Dietrich; Eleni D. Koronaki; Ronen Talmon; Ronald R. Coifman; Erik M. Bollt; Ioannis G. Kevrekidis (CoRR, 2024)

Data-driven model discovery with Kolmogorov-Arnold networks. - Mohammadamin Moradi; Shirin Panahi; Erik M. Bollt; Ying-Cheng Lai (CoRR, 2024)

Kolmogorov-Arnold Network Autoencoders. - Mohammadamin Moradi; Shirin Panahi; Erik M. Bollt; Ying-Cheng Lai (CoRR, 2024)

Fractal Conditional Correlation Dimension Infers Complex Causal Networks. - Özge Canli Usta; Erik M. Bollt (CoRR, 2024)

The problem of infinite information flow. - Zheng Bian; Erik M. Bollt (CoRR, 2025)