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 | 109 | 2019 |
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 | 104 | 2016 |
Isostable reduction of periodic orbits D Wilson, J Moehlis Physical Review E 94 (5), 052213, 2016 | 103 | 2016 |
Greater accuracy and broadened applicability of phase reduction using isostable coordinates D Wilson, B Ermentrout Journal of mathematical biology 76, 37-66, 2018 | 82 | 2018 |
Optimal chaotic desynchronization for neural populations D Wilson, J Moehlis SIAM Journal on Applied Dynamical Systems 13 (1), 276, 2014 | 82 | 2014 |
Recent advances in coupled oscillator theory B Ermentrout, Y Park, D Wilson Philosophical Transactions of the Royal Society A 377 (2160), 20190092, 2019 | 51 | 2019 |
Clustered desynchronization from high-frequency deep brain stimulation D Wilson, J Moehlis PLoS computational biology 11 (12), e1004673, 2015 | 51 | 2015 |
Phase-amplitude reduction far beyond the weakly perturbed paradigm D Wilson Physical Review E 101 (2), 022220, 2020 | 50 | 2020 |
Augmented phase reduction of (not so) weakly perturbed coupled oscillators D Wilson, B Ermentrout SIAM Review 61 (2), 277-315, 2019 | 49 | 2019 |
Isostable reduction of oscillators with piecewise smooth dynamics and complex Floquet multipliers D Wilson Physical review E 99 (2), 022210, 2019 | 42 | 2019 |
Phase models beyond weak coupling D Wilson, B Ermentrout Physical review letters 123 (16), 164101, 2019 | 39 | 2019 |
Optimal entrainment of heterogeneous noisy neurons D Wilson, AB Holt, TI Netoff, J Moehlis Frontiers in neuroscience 9, 192, 2015 | 39 | 2015 |
Extending phase reduction to excitable media: theory and applications D Wilson, J Moehlis siam REVIEW 57 (2), 201-222, 2015 | 35 | 2015 |
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 | 34 | 2020 |
Locally optimal extracellular stimulation for chaotic desynchronization of neural populations D Wilson, J Moehlis Journal of computational neuroscience 37, 243-257, 2014 | 33 | 2014 |
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 | 31 | 2018 |
Isostable reduction with applications to time-dependent partial differential equations D Wilson, J Moehlis Physical Review E 94 (1), 012211, 2016 | 29 | 2016 |
An Adaptive Phase-Amplitude Reduction Framework without Constraints on Inputs D Wilson SIAM Journal on Applied Dynamical Systems 21 (1), 204-230, 2022 | 24 | 2022 |
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 | 24 | 2015 |
An energy-optimal approach for entrainment of uncertain circadian oscillators D Wilson, J Moehlis Biophysical journal 107 (7), 1744-1755, 2014 | 23 | 2014 |