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 Description of Stochastic Oscillations
Justus T. C. Schwabedal, Arkady Pikovsky
Physical Review Letters (2013) Vol. 110, Iss. 20
Open Access | Times Cited: 66

Showing 1-25 of 66 citing articles:

Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience
Peter Ashwin, Stephen Coombes, Rachel Nicks
The Journal of Mathematical Neuroscience (2016) Vol. 6, Iss. 1
Open Access | Times Cited: 278

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

Neurons as oscillators
Klaus M. Stiefel, Bard Ermentrout
Journal of Neurophysiology (2016) Vol. 116, Iss. 6, pp. 2950-2960
Open Access | Times Cited: 88

Synchronization behavior and energy evolution in physical neuron and network
Xinlei An, Lingfeng Jiang, Li Xiong, et al.
Nonlinear Dynamics (2024) Vol. 112, Iss. 18, pp. 16389-16407
Closed Access | Times Cited: 8

Inferring the phase response curve from observation of a continuously perturbed oscillator
Rok Cestnik, Michael G. Rosenblum
Scientific Reports (2018) Vol. 8, Iss. 1
Open Access | Times Cited: 60

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

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

Hydrodynamic synchronization of flagellar oscillators
Benjamin M. Friedrich
The European Physical Journal Special Topics (2016) Vol. 225, Iss. 11-12, pp. 2353-2368
Open Access | Times Cited: 39

Efficient analysis of stochastic gene dynamics in the non-adiabatic regime using piecewise deterministic Markov processes
Yen Ting Lin, Nicolas E. Buchler
Journal of The Royal Society Interface (2018) Vol. 15, Iss. 138, pp. 20170804-20170804
Open Access | Times Cited: 33

Intermittent phase dynamics of non-autonomous oscillators through time-varying phase
Julian Newman, J.P. Scott, Joe Rowland Adams, et al.
Physica D Nonlinear Phenomena (2024) Vol. 461, pp. 134108-134108
Open Access | Times Cited: 3

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

Amplitude chimeras and bump states with and without frequency entanglement: a toy model
A. Provata
Journal of Physics Complexity (2024) Vol. 5, Iss. 2, pp. 025011-025011
Open Access | Times Cited: 2

The isochronal phase of stochastic PDE and integral equations: Metastability and other properties
Zachary P. Adams, James MacLaurin
Journal of Differential Equations (2024) Vol. 414, pp. 773-816
Closed Access | Times Cited: 2

Dynamical inference: Where phase synchronization and generalized synchronization meet
Tomislav Stankovski, P. V. E. McClintock, Aneta Stefanovska
Physical Review E (2014) Vol. 89, Iss. 6
Open Access | Times Cited: 20

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

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

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

Distinguishing between direct and indirect directional couplings in large oscillator networks: Partial or non-partial phase analyses?
Thorsten Rings, Klaus Lehnertz
Chaos An Interdisciplinary Journal of Nonlinear Science (2016) Vol. 26, Iss. 9
Closed 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

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

Phase response curves for models of earthquake fault dynamics
Igor Franović, Srđan Kostić, Matjaž Perc, et al.
Chaos An Interdisciplinary Journal of Nonlinear Science (2016) Vol. 26, Iss. 6
Open Access | Times Cited: 12

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

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