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Dan Wilson
Dan Wilson
Verified email at utk.edu - Homepage
Title
Cited by
Cited by
Year
Phase reduction and phase-based optimal control for biological systems: a tutorial
B Monga, D Wilson, T Matchen, J Moehlis
Biological cybernetics 113 (1), 11-46, 2019
1092019
Phasic burst stimulation: a closed-loop approach to tuning deep brain stimulation parameters for Parkinson’s disease
AB Holt, D Wilson, M Shinn, J Moehlis, TI Netoff
PLoS computational biology 12 (7), e1005011, 2016
1042016
Isostable reduction of periodic orbits
D Wilson, J Moehlis
Physical Review E 94 (5), 052213, 2016
1032016
Greater accuracy and broadened applicability of phase reduction using isostable coordinates
D Wilson, B Ermentrout
Journal of mathematical biology 76, 37-66, 2018
822018
Optimal chaotic desynchronization for neural populations
D Wilson, J Moehlis
SIAM Journal on Applied Dynamical Systems 13 (1), 276, 2014
822014
Recent advances in coupled oscillator theory
B Ermentrout, Y Park, D Wilson
Philosophical Transactions of the Royal Society A 377 (2160), 20190092, 2019
512019
Clustered desynchronization from high-frequency deep brain stimulation
D Wilson, J Moehlis
PLoS computational biology 11 (12), e1004673, 2015
512015
Phase-amplitude reduction far beyond the weakly perturbed paradigm
D Wilson
Physical Review E 101 (2), 022220, 2020
502020
Augmented phase reduction of (not so) weakly perturbed coupled oscillators
D Wilson, B Ermentrout
SIAM Review 61 (2), 277-315, 2019
492019
Isostable reduction of oscillators with piecewise smooth dynamics and complex Floquet multipliers
D Wilson
Physical review E 99 (2), 022210, 2019
422019
Phase models beyond weak coupling
D Wilson, B Ermentrout
Physical review letters 123 (16), 164101, 2019
392019
Optimal entrainment of heterogeneous noisy neurons
D Wilson, AB Holt, TI Netoff, J Moehlis
Frontiers in neuroscience 9, 192, 2015
392015
Extending phase reduction to excitable media: theory and applications
D Wilson, J Moehlis
siam REVIEW 57 (2), 201-222, 2015
352015
A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems
D Wilson
Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (1), 2020
342020
Locally optimal extracellular stimulation for chaotic desynchronization of neural populations
D Wilson, J Moehlis
Journal of computational neuroscience 37, 243-257, 2014
332014
An operational definition of phase characterizes the transient response of perturbed limit cycle oscillators
D Wilson, B Ermentrout
SIAM Journal on Applied Dynamical Systems 17 (4), 2516-2543, 2018
312018
Isostable reduction with applications to time-dependent partial differential equations
D Wilson, J Moehlis
Physical Review E 94 (1), 012211, 2016
292016
An Adaptive Phase-Amplitude Reduction Framework without Constraints on Inputs
D Wilson
SIAM Journal on Applied Dynamical Systems 21 (1), 204-230, 2022
242022
Desynchronization of stochastically synchronized chemical oscillators
R Snari, MR Tinsley, D Wilson, S Faramarzi, TI Netoff, J Moehlis, ...
Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (12), 2015
242015
An energy-optimal approach for entrainment of uncertain circadian oscillators
D Wilson, J Moehlis
Biophysical journal 107 (7), 1744-1755, 2014
232014
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