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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:

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

Showing 1-25 of 94 citing articles:

Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
Christian Bick, Marc Goodfellow, Carlo R. Laing, et al.
The Journal of Mathematical Neuroscience (2020) Vol. 10, Iss. 1
Open Access | Times Cited: 227
Network dynamics of coupled oscillators and phase reduction techniques
Bastian Pietras, Andreas Daffertshofer
Physics Reports (2019) Vol. 819, pp. 1-105
Open Access | Times Cited: 136
Phase reduction beyond the first order: The case of the mean-field complex Ginzburg-Landau equation
Iván León, Diego Pazó
Physical review. E (2019) Vol. 100, Iss. 1
Open Access | Times Cited: 77
Phase-amplitude reduction far beyond the weakly perturbed paradigm
Dan Wilson
Physical review. E (2020) Vol. 101, Iss. 2
Open Access | Times Cited: 50
Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits
Matthew D. Kvalheim, Shai Revzen
Physica D Nonlinear Phenomena (2021) Vol. 425, pp. 132959-132959
Open Access | Times Cited: 43
Insights into oscillator network dynamics using a phase-isostable framework
Rachel Nicks, R. Allen, Stephen Coombes
Chaos An Interdisciplinary Journal of Nonlinear Science (2024) Vol. 34, Iss. 1
Open Access | Times Cited: 6
Optimal Control of Active Nematics
Michael M. Norton, Piyush Grover, Michael F. Hagan, et al.
Physical Review Letters (2020) Vol. 125, Iss. 17
Open Access | Times Cited: 48
Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson–Cowan model
Benoit Duchet, Gihan Weerasinghe, Hayriye Cagnan, et al.
The Journal of Mathematical Neuroscience (2020) Vol. 10, Iss. 1
Open Access | Times Cited: 39
Phase autoencoder for limit-cycle oscillators
Koichiro Yawata, Kai Fukami, Kunihiko Taira, et al.
Chaos An Interdisciplinary Journal of Nonlinear Science (2024) Vol. 34, Iss. 6
Open Access | Times Cited: 4
Definition and Data-Driven Reconstruction of Asymptotic Phase and Amplitudes of Stochastic Oscillators via Koopman Operator Theory
Shohei Takata, Yuzuru Kato, Hiroya Nakao
IUTAM bookseries (2025), pp. 141-153
Closed Access
Phase-Based Reduced Order Models for Parabolic and Elliptic Bursting Neurons
Dan Wilson
SIAM Journal on Applied Dynamical Systems (2025) Vol. 24, Iss. 1, pp. 187-218
Closed Access
Inferring noise intensity and phase response from noisy synchronous oscillators
Hisa-aki TANAKA, Somei Suga, Akira Keida, et al.
Physical Review Research (2025) Vol. 7, Iss. 1
Open Access
A central pattern generator network for simple control of gait transitions in hexapod robots based on phase reduction
Norihisa Namura, Hiroya Nakao
Nonlinear Dynamics (2025)
Open Access
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
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
Numerical phase reduction beyond the first order approximation
Michael G. Rosenblum, Arkady Pikovsky
Chaos An Interdisciplinary Journal of Nonlinear Science (2019) Vol. 29, Iss. 1
Open Access | Times Cited: 36
A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems
Dan Wilson
Chaos An Interdisciplinary Journal of Nonlinear Science (2020) Vol. 30, Iss. 1
Open Access | Times Cited: 32
On the concept of dynamical reduction: the case of coupled oscillators
Yoshiki Kuramoto, Hiroya Nakao
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences (2019) Vol. 377, Iss. 2160, pp. 20190041-20190041
Open Access | Times Cited: 31
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
Higher-Order Network Interactions Through Phase Reduction for Oscillators with Phase-Dependent Amplitude
Christian Bick, Tobias Böhle, Christian Kuehn
Journal of Nonlinear Science (2024) Vol. 34, Iss. 4
Open Access | Times Cited: 3
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
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
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