The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
A Formal Classification of Bursting Mechanisms in Excitable Systems
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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
Impulses and Physiological States in Theoretical Models of Nerve Membrane
FitzHugh, R. (1961) · Biophysical Journal · doi:10.1016/s0006-3495(61)86902-6 · Cited by 6,258
An Active Pulse Transmission Line Simulating Nerve Axon
Nagumo, J., Arimoto, S., & Yoshizawa, S. (1962) · Proceedings of the IRE · doi:10.1109/jrproc.1962.288235 · Cited by 4,194
A model of neuronal bursting using three coupled first order differential equations
Hindmarsh, J. L., & Rose, R. M. (1984) · Proceedings of the Royal Society of London. Series B. Biological Sciences · doi:10.1098/rspb.1984.0024 · Cited by 1,936
Asymptotic expansions for ordinary differential equations
Wasow, W. R. (1965) · Cited by 1,617
Minimal model for membrane oscillations in the pancreatic beta-cell
Chay, T. R., & Keizer, J. (1983) · Biophysical Journal · doi:10.1016/s0006-3495(83)84384-7 · Cited by 482
Chaos in a three-variable model of an excitable cell
Chay, T. R. (1985) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(85)90060-0 · Cited by 388
Bursting oscillations in an excitable membrane model
Rinzel, J. (1985) · Lecture Notes in Mathematics · doi:10.1007/bfb0074739 · Cited by 339
Self-citationDissection of a model for neuronal parabolic bursting
Rinzel, J., & Lee, Y. S. (1987) · Journal of Mathematical Biology · doi:10.1007/bf00275501 · Cited by 266
Self-citationBursting, beating, and chaos in an excitable membrane model
Chay, T. R., & Rinzel, J. (1985) · Biophysical Journal · doi:10.1016/s0006-3495(85)83926-6 · Cited by 239
Self-citation
Cited by
Neurophysiological and Computational Principles of Cortical Rhythms in Cognition
Wang, X.-J. (2010) · Physiological Reviews · doi:10.1152/physrev.00035.2008 · Cited by 1,939
On the nature of seizure dynamics
Jirsa, V. K., Stacey, W. C., Quilichini, P. P., Ivanov, A. I., & Bernard, C. (2014) · Brain · doi:10.1093/brain/awu133 · Cited by 770
Mixed-Mode Oscillations with Multiple Time Scales
Desroches, M., Guckenheimer, J., Krauskopf, B., Kuehn, C., Osinga, H. M., & Wechselberger, M. (2012) · SIAM Review · doi:10.1137/100791233 · Cited by 554
Models of Respiratory Rhythm Generation in the Pre-Bötzinger Complex. I. Bursting Pacemaker Neurons
Butera, R. J., Rinzel, J., & Smith, J. C. (1999) · Journal of Neurophysiology · doi:10.1152/jn.1999.82.1.382 · Cited by 543
Self-citationIntrinsic Dynamics in Neuronal Networks. I. Theory
Latham, P. E., Richmond, B. J., Nelson, P. G., & Nirenberg, S. (2000) · Journal of Neurophysiology · doi:10.1152/jn.2000.83.2.808 · Cited by 316
Metadata
- Authors
- Rinzel, J.
- Venue
- Lecture Notes in Biomathematics
- Publisher
- Springer Berlin Heidelberg
- Published
- 1987
- Pages
- 267-281
- ISSN
- 0341-633X (ISSN-L)
- OpenAlex
- W2064108635
- Cited by
- 440
- References
- 22
- FWCI
- 20.14
- Type
- book chapter
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: A Formal Classification of Bursting Mechanisms in Excitable Systems. https://app.cochat.ai/papers/10.1007/978-3-642-93360-8_26
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- Rinzel, J. (1987). A Formal Classification of Bursting Mechanisms in Excitable Systems. Lecture Notes in Biomathematics. https://doi.org/10.1007/978-3-642-93360-8_26
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.
