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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:

Asymptotic Phase for Stochastic Oscillators
Peter J. Thomas, Benjamin Lindner
Physical Review Letters (2014) Vol. 113, Iss. 25
Open Access | Times Cited: 51

Showing 1-25 of 51 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 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
Neurons as oscillators
Klaus M. Stiefel, Bard Ermentrout
Journal of Neurophysiology (2016) Vol. 116, Iss. 6, pp. 2950-2960
Open Access | Times Cited: 88
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: 13
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
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 descriptions of a multidimensional Ornstein-Uhlenbeck process
Peter J. Thomas, Benjamin Lindner
Physical review. E (2019) Vol. 99, Iss. 6
Open Access | Times Cited: 26
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
Heteroclinic cycling and extinction in May–Leonard models with demographic stochasticity
Nicholas W. Barendregt, Peter J. Thomas
Journal of Mathematical Biology (2023) Vol. 86, Iss. 2
Open Access | Times Cited: 7
Quantum asymptotic phases reveal signatures of quantum synchronization
Yuzuru Kato, Hiroya Nakao
New Journal of Physics (2023) Vol. 25, Iss. 2, pp. 023012-023012
Open Access | Times Cited: 7
A Partial Differential Equation for the Mean--Return-Time Phase of Planar Stochastic Oscillators
Alexander Cao, Benjamin Lindner, Peter J. Thomas
SIAM Journal on Applied Mathematics (2020) Vol. 80, Iss. 1, pp. 422-447
Open Access | Times Cited: 17
Long-time analytic approximation of large stochastic oscillators: Simulation, analysis and inference
Giorgos Minas, D.A.J. Rand
PLoS Computational Biology (2017) Vol. 13, Iss. 7, pp. e1005676-e1005676
Open Access | Times Cited: 18
Stochastic Hybrid Systems in Cellular Neuroscience
Paul C. Bressloff, James MacLaurin
The Journal of Mathematical Neuroscience (2018) Vol. 8, Iss. 1
Open Access | Times Cited: 16
Control of coupled neural oscillations using near-periodic inputs
Kaitlyn Toth, Dan Wilson
Chaos An Interdisciplinary Journal of Nonlinear Science (2022) Vol. 32, Iss. 3
Open Access | Times Cited: 9
Phase dynamics of noise-induced coherent oscillations in excitable systems
Jinjie Zhu, Yuzuru Kato, Hiroya Nakao
Physical Review Research (2022) Vol. 4, Iss. 2
Open Access | Times Cited: 9
Weakly nonlinear response of noisy neurons
Sergej O. Voronenko, Benjamin Lindner
New Journal of Physics (2017) Vol. 19, Iss. 3, pp. 033038-033038
Open Access | Times Cited: 16
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
On the Relation between Infinitesimal Shape Response Curves and Phase-Amplitude Reduction for Single and Coupled Limit-Cycle Oscillators
Max Kreider, Peter J. Thomas
SIAM Journal on Applied Dynamical Systems (2024) Vol. 23, Iss. 2, pp. 1636-1676
Closed Access | Times Cited: 1
Optimizing deep brain stimulation based on isostable amplitude in essential tremor patient models
Benoit Duchet, Gihan Weerasinghe, Christian Bick, et al.
Journal of Neural Engineering (2021) Vol. 18, Iss. 4, pp. 046023-046023
Open Access | Times Cited: 11
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
Thomas and Lindner Reply:
Peter J. Thomas, Benjamin Lindner
Physical Review Letters (2015) Vol. 115, Iss. 6
Open Access | Times Cited: 10
Comment on “Asymptotic Phase for Stochastic Oscillators”
Arkady Pikovsky
Physical Review Letters (2015) Vol. 115, Iss. 6
Open Access | Times Cited: 10
Resolving molecular contributions of ion channel noise to interspike interval variability through stochastic shielding
Shusen Pu, Peter J. Thomas
Biological Cybernetics (2021) Vol. 115, Iss. 3, pp. 267-302
Open Access | Times Cited: 10
Interspike interval correlations in neuron models with adaptation and correlated noise
Lukas Ramlow, Benjamin Lindner
PLoS Computational Biology (2021) Vol. 17, Iss. 8, pp. e1009261-e1009261
Open Access | Times Cited: 10
Firing statistics in the bistable regime of neurons with homoclinic spike generation
Jan‐Hendrik Schleimer, Janina Hesse, Susana Andrea Contreras, et al.
Physical review. E (2021) Vol. 103, Iss. 1
Open Access | Times Cited: 9
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