The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.
Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias
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Citations
Cites
Hodgkin, A. L., & Huxley, A. F. (1952) · The Journal of Physiology · doi:10.1113/jphysiol.1952.sp004764 · Cited by 23,191
Simple mathematical models with very complicated dynamics
May, R. M. (1976) · Nature · doi:10.1038/261459a0 · Cited by 7,001
The Geometry of Biological Time
Winfree, A. T. (1980) · doi:10.1007/978-3-662-22492-2 · Cited by 3,613
Li, T.-Y., & Yorke, J. A. (2004) · The Theory of Chaotic Attractors · doi:10.1007/978-0-387-21830-4_6 · Cited by 2,577
Li, T.-Y., & Yorke, J. A. (1975) · The American Mathematical Monthly · doi:10.1080/00029890.1975.11994008 · Cited by 1,588
Dynamics of Encoding in a Population of Neurons
Knight, B. W. (1972) · The Journal of General Physiology · doi:10.1085/jgp.59.6.734 · Cited by 709
Ordinary Differential Equations.
Brauer, F., Arnol'd, V. I., & Cook, R. (1993) · The American Mathematical Monthly · doi:10.2307/2324802 · Cited by 645
On finite limit sets for transformations on the unit interval
Metropolis, N., Stein, M. L., & Stein, P. R. (1973) · Journal of Combinatorial Theory, Series A · doi:10.1016/0097-3165(73)90033-2 · Cited by 602
Reconstruction of the electrical activity of cardiac Purkinje fibres.
McAllister, R. E., Noble, D., & Tsien, R. W. (1975) · The Journal of Physiology · doi:10.1113/jphysiol.1975.sp011080 · Cited by 557
Guevara, M. R., Glass, L., & Shrier, A. (1981) · Science · doi:10.1126/science.7313693 · Cited by 551
Self-citation
Cited by
Cross-Frequency Phase–Phase Coupling between Theta and Gamma Oscillations in the Hippocampus
Belluscio, M. A., Mizuseki, K., Schmidt, R., Kempter, R., & Buzsáki, G. (2012) · The Journal of Neuroscience · doi:10.1523/jneurosci.4122-11.2012 · Cited by 784
Buzsáki, G., & Watson, B. O. (2012) · Dialogues in Clinical Neuroscience · doi:10.31887/dcns.2012.14.4/gbuzsaki · Cited by 579
Metadata
- Authors
- Guevara, M. R., & Glass, L.
- Venue
- Journal of Mathematical Biology
- Published
- 1982-03
- Volume
- 14
- Issue
- 1
- Pages
- 1-23
- ISSN
- 0303-6812 (ISSN-L)
- 1432-1416
- OpenAlex
- W1966877875
- Cited by
- 259
- References
- 34
- FWCI
- 19.74
- Type
- journal article
- Language
- en
- Open access
- closed
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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- CoChat. (2026). Citation check: Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias. https://app.cochat.ai/papers/10.1007/bf02154750
- The paper
- Guevara, M. R., & Glass, L. (1982). Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias. Journal of Mathematical Biology. https://doi.org/10.1007/bf02154750
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
