Open Access Helper

OpenAlex Citation Counts

OpenAlex Citations Logo

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 far beyond the weakly perturbed paradigm
Dan Wilson
Physical review. E (2020) Vol. 101, Iss. 2
Open Access | Times Cited: 50

Showing 1-25 of 50 citing articles:

Modern Koopman Theory for Dynamical Systems
Steven L. Brunton, Marko Budišić, Eurika Kaiser, et al.
SIAM Review (2022) Vol. 64, Iss. 2, pp. 229-340
Open Access | Times Cited: 263
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
Lie-algebraic quantum phase reduction based on heterodyne detection
Wataru Setoyama, Yoshihiko Hasegawa
Physical review. A/Physical review, A (2025) Vol. 111, Iss. 1
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
Data-driven model identification near a supercritical Hopf bifurcation using phase-based approaches
Dan Wilson
Physica D Nonlinear Phenomena (2025), pp. 134635-134635
Closed Access
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
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
Shape versus Timing: Linear Responses of a Limit Cycle with Hard Boundaries under Instantaneous and Static Perturbation
Yangyang Wang, Jeffrey P. Gill, Hillel J. Chiel, et al.
SIAM Journal on Applied Dynamical Systems (2021) Vol. 20, Iss. 2, pp. 701-744
Open Access | Times Cited: 14
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
Data-driven identification of dynamical models using adaptive parameter sets
Dan Wilson
Chaos An Interdisciplinary Journal of Nonlinear Science (2022) Vol. 32, Iss. 2
Closed Access | Times Cited: 9
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
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
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
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 and amplitude responses for delay equations using harmonic balance
Rachel Nicks, R. Allen, Stephen Coombes
Physical review. E (2024) Vol. 110, Iss. 1
Open Access | Times Cited: 1
The efficiency of synchronization dynamics and the role of network syncreactivity
Amirhossein Nazerian, Joseph D. Hart, Matteo Lodi, et al.
Nature Communications (2024) Vol. 15, Iss. 1
Open 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
Adaptive Isostable Reduction of Nonlinear PDEs With Time Varying Parameters
Dan Wilson, Seddik M. Djouadi
IEEE Control Systems Letters (2020) Vol. 5, Iss. 1, pp. 187-192
Open Access | Times Cited: 11
Phase sensitivity for coherence resonance oscillators
Jinjie Zhu
Nonlinear Dynamics (2020) Vol. 102, Iss. 4, pp. 2281-2293
Closed 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
Data-driven inference of high-accuracy isostable-based dynamical models in response to external inputs
Dan Wilson
Chaos An Interdisciplinary Journal of Nonlinear Science (2021) Vol. 31, Iss. 6
Open Access | Times Cited: 9
Page 1 - Next Page

Scroll to top