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:

Rate-induced tipping: thresholds, edge states and connecting orbits
Sebastian Wieczorek, Chun Xie, Peter Ashwin
Nonlinearity (2023) Vol. 36, Iss. 6, pp. 3238-3293
Open Access | Times Cited: 29

Showing 1-25 of 29 citing articles:

Multistability and intermediate tipping of the Atlantic Ocean circulation
Johannes Lohmann, Henk A. Dijkstra, Markus Jochum, et al.
Science Advances (2024) Vol. 10, Iss. 12
Open Access | Times Cited: 15

Rate-induced tipping in natural and human systems
Paul Ritchie, Hassan Alkhayuon, Peter M. Cox, et al.
Earth System Dynamics (2023) Vol. 14, Iss. 3, pp. 669-683
Open Access | Times Cited: 34

Rate-induced tipping to metastable Zombie fires
Eoin O’Sullivan, Kieran F. Mulchrone, Sebastian Wieczorek
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences (2023) Vol. 479, Iss. 2275
Open Access | Times Cited: 17

Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates
Iacopo P. Longo, Carmen Núñez, Rafael Obaya
Nonlinearity (2024) Vol. 37, Iss. 4, pp. 045017-045017
Open Access | Times Cited: 5

Saddle–node bifurcations for concave in measure and d-concave in measure skewproduct flows with applications to population dynamics and circuits
Jesús García de Dueñas, Carmen Núñez, Rafael Obaya
Communications in Nonlinear Science and Numerical Simulation (2025) Vol. 142, pp. 108577-108577
Closed Access

Contrasting Chaotic and Stochastic Forcing: Tipping Windows and Attractor Crises
Peter Ashwin, Julian Newman, Raphael Römer
SIAM Journal on Applied Dynamical Systems (2025) Vol. 24, Iss. 1, pp. 277-316
Open Access

A Mathematical Theory for Studying and Controlling the Disinformation System Dynamics
Arindam Kumar Paul, Md. Haider Ali Biswas
Springer proceedings in mathematics & statistics (2025), pp. 273-280
Closed Access

Rate-induced biosphere collapse in the Daisyworld model
Constantin W. Arnscheidt, Hassan Alkhayuon
Chaos An Interdisciplinary Journal of Nonlinear Science (2025) Vol. 35, Iss. 2
Open Access

Quantifying tipping behavior: Geometric early warnings and quasipotentials for a box model of AMOC
Ruth Chapman, Peter Ashwin, Richard Wood
Chaos An Interdisciplinary Journal of Nonlinear Science (2025) Vol. 35, Iss. 2
Closed Access

Local nearby bifurcations lead to synergies in critical slowing down: The case of mushroom bifurcations
Mariona Fucho-Rius, Smitha Maretvadakethope, Àlex Haro, et al.
Physical review. E (2025) Vol. 111, Iss. 2
Open Access

Tipping of thermoacoustic systems with secondary bifurcation in colored noise environments: Effects of rate
Xiaoyu Zhang, Yong Xu, Qi Liu, et al.
Chaos An Interdisciplinary Journal of Nonlinear Science (2025) Vol. 35, Iss. 3
Closed Access

Pace in concert with phase: rate-induced phase-tipping in birhythmic oscillators
R. K., Hassan Alkhayuon, Sebastian Wieczorek, et al.
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences (2025) Vol. 481, Iss. 2311
Closed Access

Critical Transitions for Asymptotically Concave or d-Concave Nonautonomous Differential Equations with Applications in Ecology
Jesús García de Dueñas, Carmen Núñez, Rafael Obaya
Journal of Nonlinear Science (2024) Vol. 34, Iss. 6
Open Access | Times Cited: 2

Overview of the advances in understanding chaos in low-dimensional dynamical systems subjected to parameter drift
Dániel Jánosi, Tamás Tél
Physics Reports (2024) Vol. 1092, pp. 1-64
Closed Access | Times Cited: 2

Critical Transitions in d-Concave Nonautonomous Scalar Ordinary Differential Equations Appearing in Population Dynamics
Jesús García de Dueñas, Carmen Núñez, Rafael Obaya
SIAM Journal on Applied Dynamical Systems (2023) Vol. 22, Iss. 4, pp. 2649-2692
Closed Access | Times Cited: 5

Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems
Cris R. Hasan, Ruaidhrí Mac Cárthaigh, Sebastian Wieczorek
SIAM Journal on Applied Dynamical Systems (2023) Vol. 22, Iss. 4, pp. 2991-3024
Open Access | Times Cited: 5

Tipping in a low-dimensional model of a tropical cyclone
Katherine Slyman, John A. Gemmer, Nicholas K. Corak, et al.
Physica D Nonlinear Phenomena (2023) Vol. 457, pp. 133969-133969
Open Access | Times Cited: 5

Statistical precursor signals for Dansgaard–Oeschger cooling transitions
T. Mitsui, Niklas Boers
Climate of the past (2024) Vol. 20, Iss. 3, pp. 683-699
Open Access | Times Cited: 1

Chaotic edge regimes in magnetohydrodynamic channel flow: An alternative path towards the tipping point
Mattias Brynjell‐Rahkola, Yohann Duguet, Thomas Boeck
Physical Review Research (2024) Vol. 6, Iss. 3
Open Access | Times Cited: 1

Predicting transient dynamics in a model of reed musical instrument with slowly time-varying control parameter
Baptiste Bergeot, Soizic Terrien, Christophe Vergez
Chaos An Interdisciplinary Journal of Nonlinear Science (2024) Vol. 34, Iss. 7
Closed Access | Times Cited: 1

Long-living transients in ecological models: recent progress, new challenges, and open questions
Andrew Morozov, Ulrike Feudel, Alan Hastings, et al.
Physics of Life Reviews (2024) Vol. 51, pp. 423-441
Open Access | Times Cited: 1

Tipping in complex systems under fast variations of parameters
Induja Pavithran, P. R. Midhun, R. I. Sujith
Chaos An Interdisciplinary Journal of Nonlinear Science (2023) Vol. 33, Iss. 8
Open Access | Times Cited: 3

Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems
Cris R. Hasan, Ruaidhrí Mac Cárthaigh, Sebastian Wieczorek
arXiv (Cornell University) (2022)
Open Access | Times Cited: 5

Phase-sensitive tipping: How cyclic ecosystems respond to contemporary climate
Hassan Alkhayuon, Rebecca C. Tyson, Sebastian Wieczorek
arXiv (Cornell University) (2021)
Closed Access | Times Cited: 4

Rate and Bifurcation Induced Transitions in Asymptotically Slow-Fast Systems
Samuel Jelbart
SIAM Journal on Applied Dynamical Systems (2024) Vol. 23, Iss. 3, pp. 1836-1869
Open Access

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