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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-amplitude reduction of transient dynamics far from attractors for limit-cycling systems
Sho Shirasaka, Wataru Kurebayashi, Hiroya Nakao
Chaos An Interdisciplinary Journal of Nonlinear Science (2017) Vol. 27, Iss. 2
Open Access | Times Cited: 83

Showing 1-25 of 83 citing articles:

Phase reduction approach to synchronisation of nonlinear oscillators
Hiroya Nakao
Contemporary Physics (2015) Vol. 57, Iss. 2, pp. 188-214
Open Access | Times Cited: 219
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 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
Greater accuracy and broadened applicability of phase reduction using isostable coordinates
Dan Wilson, Bard Ermentrout
Journal of Mathematical Biology (2017) Vol. 76, Iss. 1-2, pp. 37-66
Closed Access | Times Cited: 79
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
Recent advances in coupled oscillator theory
Bard Ermentrout, Youngmin Park, Dan Wilson
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences (2019) Vol. 377, Iss. 2160, pp. 20190092-20190092
Open Access | Times Cited: 47
A universal description of stochastic oscillators
Alberto Pérez-Cervera, Boris Gutkin, Peter J. Thomas, et al.
Proceedings of the National Academy of Sciences (2023) Vol. 120, Iss. 29
Open Access | Times Cited: 14
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
Data-driven transient lift attenuation for extreme vortex gust–airfoil interactions
Kai Fukami, Hiroya Nakao, Kunihiko Taira
Journal of Fluid Mechanics (2024) Vol. 992
Closed Access | Times Cited: 4
Phase-Amplitude Reduction of Limit-Cycling Networks for Optimal Synchronization
Petar Mircheski, Jinjie Zhu, Hiroya Nakao
IUTAM bookseries (2025), pp. 245-254
Closed Access
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
Setting of the Poincaré section for accurately calculating the phase of rhythmic spatiotemporal dynamics
Takahiro Arai, Yoji Kawamura, Toshio Aoyagi
Physical review. E (2025) Vol. 111, Iss. 1
Open 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
Phase synchronisation in coupled oscillator chains with endpoint heterogeneity
Daniel Galvis, Nicolás Verschueren, Kyle C. A. Wedgwood
Physica D Nonlinear Phenomena (2025), pp. 134610-134610
Open Access
Functional Role of Synchronization: A Mean-Field Control Perspective
Prashant Mehta, Sean Meyn
Journal of Systems Science and Complexity (2025) Vol. 38, Iss. 1, pp. 313-337
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
Augmented Phase Reduction of (Not So) Weakly Perturbed Coupled Oscillators
Dan Wilson, Bard Ermentrout
SIAM Review (2019) Vol. 61, Iss. 2, pp. 277-315
Closed Access | Times Cited: 41
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
Isostable reduction of oscillators with piecewise smooth dynamics and complex Floquet multipliers
Dan Wilson
Physical review. E (2019) Vol. 99, Iss. 2
Open Access | Times Cited: 35
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
Spectral analysis of the Koopman operator for partial differential equations
Hiroya Nakao, Igor Mezić
Chaos An Interdisciplinary Journal of Nonlinear Science (2020) Vol. 30, Iss. 11
Open Access | Times Cited: 24
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