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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:

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

Showing 1-25 of 36 citing articles:

Networks beyond pairwise interactions: Structure and dynamics
Federico Battiston, Giulia Cencetti, Iacopo Iacopini, et al.
Physics Reports (2020) Vol. 874, pp. 1-92
Open Access | Times Cited: 1127
Multiorder Laplacian for synchronization in higher-order networks
Maxime Lucas, Giulia Cencetti, Federico Battiston
Physical Review Research (2020) Vol. 2, Iss. 3
Open Access | Times Cited: 142
Adaptive dynamical networks
Rico Berner, Thilo Groß, Christian Kuehn, et al.
Physics Reports (2023) Vol. 1031, pp. 1-59
Open Access | Times Cited: 56
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
Phase Models Beyond Weak Coupling
Dan Wilson, Bard Ermentrout
Physical Review Letters (2019) Vol. 123, Iss. 16
Open Access | Times Cited: 36
High-order phase reduction for coupled oscillators
Erik Gengel, Erik Teichmann, Michael G. Rosenblum, et al.
Journal of Physics Complexity (2020) Vol. 2, Iss. 1, pp. 015005-015005
Open Access | Times Cited: 35
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
Generalized splay states in phase oscillator networks
Rico Berner, Serhiy Yanchuk, Yuri Maistrenko, et al.
Chaos An Interdisciplinary Journal of Nonlinear Science (2021) Vol. 31, Iss. 7
Open Access | Times Cited: 22
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
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 reduction of strongly coupled limit-cycle oscillators
Wataru Kurebayashi, Takuto Yamamoto, Sho Shirasaka, et al.
Physical Review Research (2022) Vol. 4, Iss. 4
Open Access | Times Cited: 11
Synchronization transitions in Kuramoto networks with higher-mode interaction
Rico Berner, Annie Lu, Igor M. Sokolov
Chaos An Interdisciplinary Journal of Nonlinear Science (2023) Vol. 33, Iss. 7
Open Access | Times Cited: 6
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
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
High-order phase reduction for coupled 2D oscillators
Erik T. K. Mau, Michael G. Rosenblum, Arkady Pikovsky
Chaos An Interdisciplinary Journal of Nonlinear Science (2023) Vol. 33, Iss. 10
Open Access | Times Cited: 5
Nonlinear phase coupling functions: a numerical study
Michael G. Rosenblum, Arkady Pikovsky
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences (2019) Vol. 377, Iss. 2160, pp. 20190093-20190093
Open Access | Times Cited: 14
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
\(\boldsymbol{N}\)-Body Oscillator Interactions of Higher-Order Coupling Functions
Youngmin Park, Dan Wilson
SIAM Journal on Applied Dynamical Systems (2024) Vol. 23, Iss. 2, pp. 1471-1503
Closed Access | Times Cited: 1
A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models
Dan Wilson
Physica D Nonlinear Phenomena (2023) Vol. 446, pp. 133675-133675
Open Access | Times Cited: 4
Chimera States on a Ring of Strongly Coupled Relaxation Oscillators
Julian Rode, Jan Frederik Totz, Enrico Fengler, et al.
Frontiers in Applied Mathematics and Statistics (2019) Vol. 5
Open Access | Times Cited: 11
High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators
Youngmin Park, Dan Wilson
SIAM Journal on Applied Dynamical Systems (2021) Vol. 20, Iss. 3, pp. 1464-1484
Open Access | Times Cited: 10
Phase and Amplitude Description of Complex Oscillatory Patterns in Reaction-Diffusion Systems
Hiroya Nakao
Understanding complex systems (2021), pp. 11-27
Open Access | Times Cited: 9
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