Dan Wilson

SIAM J. Appl. Dyn. Syst., 2026

2025

Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2025

Feedback Boundary Control Based on Cluster Reduced Order Modeling with Application to Convection-Diffusion.

[BibT_eX]

[DOI]

Tumin Wu

Proceedings of the 2025 American Control Conference, 2025

2024

Reduced Order Characterization of Nonlinear Oscillations Using an Adaptive Phase-Amplitude Coordinate Framework.

[BibT_eX]

[DOI]

Kai Sun

SIAM J. Appl. Dyn. Syst., March, 2024

Manifold Clustering Based Nonlinear Model Reduction with Application to Nonlinear Convection.

[BibT_eX]

[DOI]

Tumin Wu

Proceedings of the 63rd IEEE Conference on Decision and Control, 2024

Adaptive Cluster-Dynamic Mode Decomposition with Application to the Burgers' Equation.

[BibT_eX]

[DOI]

Tumin Wu

Proceedings of the American Control Conference, 2024

2023

Koopman Operator Inspired Nonlinear System Identification.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., June, 2023

A Reduced Order Modeling Framework for Strongly Perturbed Nonlinear Dynamical Systems Near Arbitrary Trajectory Sets.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., June, 2023

2022

An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2022

Recent advances in the analysis and control of large populations of neural oscillators.

[BibT_eX]

[DOI]

Annu. Rev. Control., 2022

2021

Optimal Control of Oscillation Timing and Entrainment Using Large Magnitude Inputs: An Adaptive Phase-Amplitude-Coordinate-Based Approach.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2021

High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators.

[BibT_eX]

[DOI]

Youngmin Park

SIAM J. Appl. Dyn. Syst., 2021

Adaptive Isostable Reduction of Nonlinear PDEs With Time Varying Parameters.

[BibT_eX]

[DOI]

IEEE Control. Syst. Lett., 2021

Proper Orthogonal Decomposition Reduced Order Model for Tear Film Flows.

[BibT_eX]

[DOI]

Hamid Ait Abderrahmane

Proceedings of the 2021 American Control Conference, 2021

2020

Investigating the Underlying Dynamical Structure of Supersonic Flows Using Effective Model Reduction.

[BibT_eX]

[DOI]

Proceedings of the 2020 American Control Conference, 2020

Reinforcement Learning for Elimination of Reentrant Spiral Waves in Excitable Media.

[BibT_eX]

[DOI]

James K. Senter

Amir Sadovnik

Proceedings of the 2020 American Control Conference, 2020

2019

Augmented Phase Reduction of (Not So) Weakly Perturbed Coupled Oscillators.

[BibT_eX]

[DOI]

Bard Ermentrout

SIAM Rev., 2019

An Optimal Framework for Nonfeedback Stability Control of Chaos.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2019

Phase reduction and phase-based optimal control for biological systems: a tutorial.

[BibT_eX]

[DOI]

Biol. Cybern., 2019

Isostable Reduction and Boundary Feedback Control for Nonlinear Convective Flows.

[BibT_eX]

[DOI]

Proceedings of the 58th IEEE Conference on Decision and Control, 2019

2018

An Operational Definition of Phase Characterizes the Transient Response of Perturbed Limit Cycle Oscillators.

[BibT_eX]

[DOI]

Bard Ermentrout

SIAM J. Appl. Dyn. Syst., 2018

2016

Model Reduction for Treatment of Neurological Diseases and Cardiac Arrhythmias

[BibT_eX]

[DOI]

Daniel Wilson

PhD thesis, 2016

Phasic Burst Stimulation: A Closed-Loop Approach to Tuning Deep Brain Stimulation Parameters for Parkinson's Disease.

[BibT_eX]

[DOI]

PLoS Comput. Biol., 2016

Analytical bounds on the critical coupling strength in a population of heterogeneous biological oscillators.

[BibT_eX]

[DOI]

Proceedings of the 2016 American Control Conference, 2016

2015

Extending Phase Reduction to Excitable Media: Theory and Applications.

[BibT_eX]

[DOI]

SIAM Rev., 2015

Clustered Desynchronization from High-Frequency Deep Brain Stimulation.

[BibT_eX]

[DOI]

PLoS Comput. Biol., 2015

2014

An Energy-Optimal Methodology for Synchronization of Excitable Media.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2014

Optimal Chaotic Desynchronization for Neural Populations.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2014

A Hamilton-Jacobi-Bellman approach for termination of seizure-like bursting.

[BibT_eX]

[DOI]

J. Comput. Neurosci., 2014

Locally optimal extracellular stimulation for chaotic desynchronization of neural populations.

[BibT_eX]

[DOI]