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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 synchronization of a network of coupled dynamical elements exhibiting collective oscillations
Hiroya Nakao, Sho Yasui, Masashi Ota, et al.
Chaos An Interdisciplinary Journal of Nonlinear Science (2018) Vol. 28, Iss. 4
Open Access | Times Cited: 24

Showing 24 citing articles:

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 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
Phase-Amplitude Reduction of Limit-Cycling Networks for Optimal Synchronization
Petar Mircheski, Jinjie Zhu, Hiroya Nakao
IUTAM bookseries (2025), pp. 245-254
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
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
Semiclassical phase reduction theory for quantum synchronization
Yuzuru Kato, Naoki Yamamoto, Hiroya Nakao
Physical Review Research (2019) Vol. 1, Iss. 3
Open Access | Times Cited: 24
Control of neural systems at multiple scales using model-free, deep reinforcement learning
Brian Mitchell, Linda Petzold
Scientific Reports (2018) Vol. 8, Iss. 1
Open Access | Times Cited: 20
Optimal waveform for entrainment of a spiking neuron with minimum stimulating charge
K. Pyragas, Augustinas Povilas Fedaravičius, T. Pyragienė, et al.
Physical review. E (2018) Vol. 98, Iss. 4
Closed Access | Times Cited: 19
Interplay of the mechanisms of synchronization by common noise and global coupling for a general class of limit-cycle oscillators
Denis S. Goldobin, A. V. Dolmatóva
Communications in Nonlinear Science and Numerical Simulation (2019) Vol. 75, pp. 94-108
Open Access | Times Cited: 16
Optimal open-loop desynchronization of neural oscillator populations
Dan Wilson
Journal of Mathematical Biology (2020) Vol. 81, Iss. 1, pp. 25-64
Closed Access | Times Cited: 13
Entrainment of a network of interacting neurons with minimum stimulating charge
K. Pyragas, Augustinas Povilas Fedaravičius, T. Pyragienė, et al.
Physical review. E (2020) Vol. 102, Iss. 1
Open Access | Times Cited: 12
Phase-amplitude reduction and optimal phase locking of collectively oscillating networks
Petar Mircheski, Jinjie Zhu, Hiroya Nakao
Chaos An Interdisciplinary Journal of Nonlinear Science (2023) Vol. 33, Iss. 10
Open Access | Times Cited: 3
The Winfree model with heterogeneous phase-response curves: analytical results
Diego Pazó, Ernest Montbrió, Rafael Gallego
Journal of Physics A Mathematical and Theoretical (2019) Vol. 52, Iss. 15, pp. 154001-154001
Open Access | Times Cited: 9
Sparse optimization of mutual synchronization in collectively oscillating networks
Hiroya Nakao, Katsunori Yamaguchi, Shingo Katayama, et al.
Chaos An Interdisciplinary Journal of Nonlinear Science (2021) Vol. 31, Iss. 6
Open Access | Times Cited: 7
Phase synchronization analysis of bridge oscillators between clustered networks
Arthur N. Montanari, Leandro Freitas, Leonardo A. B. Tôrres, et al.
Nonlinear Dynamics (2019) Vol. 97, Iss. 4, pp. 2399-2411
Closed Access | Times Cited: 6
Phase reduction for FitzHugh-Nagumo neuron with large timescale separation
Jinjie Zhu, Jiong Wang, Shang Gao, et al.
Physical review. E (2020) Vol. 101, Iss. 4
Closed Access | Times Cited: 4
Эффект расхождения частот в ансамблях автоколебательных систем с отталкивающей глобальной связью при синхронизации общим шумом

Izvestiya VUZ Applied Nonlinear Dynamics (2019) Vol. 27, Iss. 3, pp. 33-60
Open Access | Times Cited: 4
Topology-Dependent Excitation Response of Networks of Linear and Nonlinear Oscillators
Yu Mao, Harry Dankowicz
Journal of Computational and Nonlinear Dynamics (2021) Vol. 16, Iss. 4
Closed Access | Times Cited: 4
Extracting Phase Coupling Functions between Collectively Oscillating Networks from Time-Series Data
Takahiro Arai, Yoji Kawamura, Toshio Aoyagi
Journal of the Physical Society of Japan (2022) Vol. 91, Iss. 12
Open Access | Times Cited: 1
A model integrating multiple processes of synchronization and coherence for information instantiation within a cortical area
Thomas D. Wason
Biosystems (2021) Vol. 205, pp. 104403-104403
Closed Access | Times Cited: 1
Extracting phase coupling functions between networks of dynamical elements that exhibit collective oscillations: Direct extraction from time-series data
Takahiro Arai, Yoji Kawamura, Toshio Aoyagi
arXiv (Cornell University) (2021)
Closed Access | Times Cited: 1
Spatial Effects of Phase Dynamics on Oscillators Close to Bifurcation
Yihan Wang, Jinjie Zhu
Mathematics (2023) Vol. 11, Iss. 11, pp. 2573-2573
Open Access
Phase-Amplitude Reduction and Optimal Phase Locking of Collectively Oscillating Networks
Petar Mircheski, Jinjie Zhu, Hiroya Nakao
arXiv (Cornell University) (2023)
Open Access
Introduction to Focus Issue: In Memory of John L. Hudson: Self-Organized Structures in Chemical Systems
Yannis Kevrekidis, István Z. Kiss, Hiroshi Kori, et al.
Chaos An Interdisciplinary Journal of Nonlinear Science (2018) Vol. 28, Iss. 4
Open Access
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