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:

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

Showing 1-25 of 31 citing articles:

Coupling functions: dynamical interaction mechanisms in the physical, biological and social sciences
Tomislav Stankovski, Tiago Pereira, P. V. E. McClintock, et al.
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences (2019) Vol. 377, Iss. 2160, pp. 20190039-20190039
Open Access | Times Cited: 44
Towards a physical understanding of developmental patterning
José Negrete, Andrew C. Oates
Nature Reviews Genetics (2021) Vol. 22, Iss. 8, pp. 518-531
Closed Access | Times Cited: 34
RASER MRI: Magnetic resonance images formed spontaneously exploiting cooperative nonlinear interaction
Sören Lehmkuhl, Simon Fleischer, Lars Lohmann, et al.
Science Advances (2022) Vol. 8, Iss. 28
Open Access | Times Cited: 22
Enlarged Kuramoto model: Secondary instability and transition to collective chaos
Iván León, Diego Pazó
Physical review. E (2022) Vol. 105, Iss. 4
Open Access | Times Cited: 17
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
Phase-based control of periodic flows
Aditya Nair, Kunihiko Taira, Bingni W. Brunton, et al.
Journal of Fluid Mechanics (2021) Vol. 927
Open Access | Times Cited: 18
Coherent Dynamics Enhanced by Uncorrelated Noise
Zachary G. Nicolaou, Michael Šebek, István Z. Kiss, et al.
Physical Review Letters (2020) Vol. 125, Iss. 9
Open Access | Times Cited: 17
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
Nonlinear phase-amplitude reduction of delay-induced oscillations
Kiyoshi Kotani, Yutaro Ogawa, Sho Shirasaka, et al.
Physical Review Research (2020) Vol. 2, Iss. 3
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
A definition of the asymptotic phase for quantum nonlinear oscillators from the Koopman operator viewpoint
Yuzuru Kato, Hiroya Nakao
Chaos An Interdisciplinary Journal of Nonlinear Science (2022) Vol. 32, Iss. 6
Open Access | Times Cited: 6
Phase-synchronization properties of laminar cylinder wake for periodic external forcings
Mohammad Amin Khodkar, Kunihiko Taira
Journal of Fluid Mechanics (2020) Vol. 904
Open Access | Times Cited: 8
Collective Oscillations in Coupled-Cell Systems
Kuan‐Wei Chen, Chih-Wen Shih
Bulletin of Mathematical Biology (2021) Vol. 83, Iss. 6
Open Access | Times Cited: 7
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
The oscillatory nature of the motor and perceptive kinematics invariants
Guy Chéron, Cédric Simar, Ana Maria Cebolla
Physics of Life Reviews (2023) Vol. 46, pp. 80-84
Open Access | Times Cited: 2
Linking fast and slow: the case for generative models
Johan Medrano, Karl Friston, Peter Zeidman
arXiv (Cornell University) (2023)
Open Access | Times Cited: 2
Linear response theory for coupled phase oscillators with general coupling functions
Yu Terada, Yoshiyuki Y. Yamaguchi
Journal of Physics A Mathematical and Theoretical (2019) Vol. 53, Iss. 4, pp. 044001-044001
Open Access | Times Cited: 4
Collective in-plane magnetization in a two-dimensional XY macrospin system within the framework of generalized Ott–Antonsen theory
Irina V. Tyulkina, Denis S. Goldobin, Lyudmila S. Klimenko, et al.
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences (2020) Vol. 378, Iss. 2171, pp. 20190259-20190259
Open Access | Times Cited: 4
Quasi phase reduction of all-to-all strongly coupled λ−ω oscillators near incoherent states
Iván León, Diego Pazó
Physical review. E (2020) Vol. 102, Iss. 4
Open Access | Times Cited: 4
Optimal coupling functions for fast and global synchronization of weakly coupled limit-cycle oscillators
Norihisa Namura, Hiroya Nakao
arXiv (Cornell University) (2024)
Open Access
Critical exponents in coupled phase-oscillator models on small-world networks
Ryosuke Yoneda, Kenji Harada, Yoshiyuki Y. Yamaguchi
Physical review. E (2020) Vol. 102, Iss. 6
Open Access | Times Cited: 3
RASER MRI: Magnetic Resonance Images formed Spontaneously exploiting Cooperative Nonlinear Interaction
Sören Lehmkuhl, Simon Fleischer, Lars Lohmann, et al.
arXiv (Cornell University) (2022)
Open Access | Times Cited: 1
Designing two-dimensional limit-cycle oscillators with prescribed trajectories and phase-response characteristics
Norihisa Namura, Tsubasa Ishii, Hiroya Nakao
arXiv (Cornell University) (2023)
Open Access
Macroscopic Gamma Oscillation With Bursting Neuron Model Under Stochastic Fluctuation
Yuto Yoshikai, Tianyi Zheng, Kiyoshi Kotani, et al.
Neural Computation (2023) Vol. 35, Iss. 4, pp. 645-670
Closed Access
Phase-Amplitude Reduction and Optimal Phase Locking of Collectively Oscillating Networks
Petar Mircheski, Jinjie Zhu, Hiroya Nakao
arXiv (Cornell University) (2023)
Open Access
Page 1 - Next Page

Scroll to top