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OpenAlex Citation Counts

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OpenAlex is a bibliographic catalogue of scientific papers, authors and institutions accessible in open access mode, named after the Library of Alexandria. It's citation coverage is excellent and I hope you will find utility in this listing of citing articles!

If you click the article title, you'll navigate to the article, as listed in CrossRef. If you click the Open Access links, you'll navigate to the "best Open Access location". Clicking the citation count will open this listing for that article. Lastly at the bottom of the page, you'll find basic pagination options.

Requested Article:

Optimal phase control of biological oscillators using augmented phase reduction
Bharat Monga, Jeff Moehlis
Biological Cybernetics (2018) Vol. 113, Iss. 1-2, pp. 161-178
Closed Access | Times Cited: 44

Showing 1-25 of 44 citing articles:

Phase reduction and phase-based optimal control for biological systems: a tutorial
Bharat Monga, Dan Wilson, Tim Matchen, et al.
Biological Cybernetics (2018) Vol. 113, Iss. 1-2, pp. 11-46
Closed Access | Times Cited: 94
Data-driven model identification near a supercritical Hopf bifurcation using phase-based approaches
Dan Wilson
Physica D Nonlinear Phenomena (2025), pp. 134635-134635
Closed Access
Global computation of phase-amplitude reduction for limit-cycle dynamics
Alexandre Mauroy, Igor Mezić
Chaos An Interdisciplinary Journal of Nonlinear Science (2018) Vol. 28, Iss. 7
Open Access | Times Cited: 40
An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs
Dan Wilson
SIAM Journal on Applied Dynamical Systems (2022) Vol. 21, Iss. 1, pp. 204-230
Open Access | Times Cited: 16
Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction and Floquet theory
Shohei Takata, Yuzuru Kato, Hiroya Nakao
Chaos An Interdisciplinary Journal of Nonlinear Science (2021) Vol. 31, Iss. 9
Open Access | Times Cited: 22
Recent advances in the analysis and control of large populations of neural oscillators
Dan Wilson, Jeff Moehlis
Annual Reviews in Control (2022) Vol. 54, pp. 327-351
Open Access | Times Cited: 15
Controlling fluidic oscillator flow dynamics by elastic structure vibration
Innocentio A. Loe, Tianyi Zheng, Kiyoshi Kotani, et al.
Scientific Reports (2023) Vol. 13, Iss. 1
Open Access | Times Cited: 8
Phase distribution control of a population of oscillators
Bharat Monga, Jeff Moehlis
Physica D Nonlinear Phenomena (2019) Vol. 398, pp. 115-129
Open Access | Times Cited: 23
Global phase-amplitude description of oscillatory dynamics via the parameterization method
Alberto Pérez-Cervera, Tere M. Seara, Gemma Huguet
Chaos An Interdisciplinary Journal of Nonlinear Science (2020) Vol. 30, Iss. 8
Open Access | Times Cited: 23
Phase-based control of periodic flows
Aditya Nair, Kunihiko Taira, Bingni W. Brunton, et al.
Journal of Fluid Mechanics (2021) Vol. 927
Open Access | Times Cited: 18
Optimal coupling functions for fast and global synchronization of weakly coupled limit-cycle oscillators
Norihisa Namura, Hiroya Nakao
Chaos Solitons & Fractals (2024) Vol. 185, pp. 115080-115080
Open Access | Times Cited: 2
Synchronizing and Desynchronizing Neural Populations through Phase Distribution Control
Bharat Monga, Gary Froyland, Jeff Moehlis
(2018), pp. 2808-2813
Open Access | Times Cited: 22
Control theory in biology and medicine
Peter J. Thomas, Mette S. Olufsen, Rodolphe Sepulchre, et al.
Biological Cybernetics (2019) Vol. 113, Iss. 1-2, pp. 1-6
Open Access | Times Cited: 21
Optimization of periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators
Yuzuru Kato, Anatoly Zlotnik, Jr-Shin Li, et al.
Nonlinear Dynamics (2021) Vol. 105, Iss. 3, pp. 2247-2263
Open Access | Times Cited: 16
Shape versus Timing: Linear Responses of a Limit Cycle with Hard Boundaries under Instantaneous and Static Perturbation
Yangyang Wang, Jeffrey P. Gill, Hillel J. Chiel, et al.
SIAM Journal on Applied Dynamical Systems (2021) Vol. 20, Iss. 2, pp. 701-744
Open Access | Times Cited: 14
Optimal Control of Oscillation Timing and Entrainment Using Large Magnitude Inputs: An Adaptive Phase-Amplitude-Coordinate-Based Approach
Dan Wilson
SIAM Journal on Applied Dynamical Systems (2021) Vol. 20, Iss. 4, pp. 1814-1843
Open Access | Times Cited: 14
Estimating asymptotic phase and amplitude functions of limit-cycle oscillators from time series data
Norihisa Namura, Shohei Takata, Katsunori Yamaguchi, et al.
Physical review. E (2022) Vol. 106, Iss. 1
Open Access | Times Cited: 10
Designing 2-D Limit-Cycle Oscillators With Prescribed Trajectories and Phase-Response Characteristics
Norihisa Namura, Tsubasa Ishii, Hiroya Nakao
IEEE Transactions on Automatic Control (2023) Vol. 69, Iss. 5, pp. 3144-3157
Open Access | Times Cited: 5
Phase-amplitude dynamics in terms of extended response functions: Invariant curves and arnold tongues
O. Castejón, Antoni Guillamon
Communications in Nonlinear Science and Numerical Simulation (2019) Vol. 81, pp. 105008-105008
Open Access | Times Cited: 15
Supervised learning algorithms for controlling underactuated dynamical systems
Bharat Monga, Jeff Moehlis
Physica D Nonlinear Phenomena (2020) Vol. 412, pp. 132621-132621
Open Access | Times Cited: 13
Reduced Order Characterization of Nonlinear Oscillations Using an Adaptive Phase-Amplitude Coordinate Framework
Dan Wilson, Kai Sun
SIAM Journal on Applied Dynamical Systems (2024) Vol. 23, Iss. 1, pp. 470-504
Open Access | Times Cited: 1
Asymptotic Phase and Amplitude for Classical and Semiclassical Stochastic Oscillators via Koopman Operator Theory
Yuzuru Kato, Jinjie Zhu, Wataru Kurebayashi, et al.
Mathematics (2021) Vol. 9, Iss. 18, pp. 2188-2188
Open Access | Times Cited: 11
Phase control of escapes in the fractional damped Helmholtz oscillator
Mattia Coccolo, Jesús M. Seoane, Stefano Lenci, et al.
Chaos Solitons & Fractals (2024) Vol. 183, pp. 114918-114918
Open Access | Times Cited: 1
Adaptive Isostable Reduction of Nonlinear PDEs With Time Varying Parameters
Dan Wilson, Seddik M. Djouadi
IEEE Control Systems Letters (2020) Vol. 5, Iss. 1, pp. 187-192
Open Access | Times Cited: 11
Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: A numerical simulation approach
Mohammad Hemami, Jamal Amani Rad, Kourosh Parand
Communications in Nonlinear Science and Numerical Simulation (2021) Vol. 103, pp. 105961-105961
Closed Access | Times Cited: 10
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