The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Regularization of Synchronized Chaotic Bursts
Open accessAbstract
The onset of regular bursts in a group of irregularly bursting neurons with different individual properties is one of the most interesting dynamical properties found in neurobiological systems. In this paper we show how synchronization among chaotically bursting cells can lead to the onset of regular bursting. In order to clearly present the mechanism behind such regularization we model the individual dynamics of each cell with a simple two-dimensional map that produces chaotic bursting behavior similar to biological neurons.
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Cites
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
Generalized synchronization of chaos in directionally coupled chaotic systems
Rulkov, N. F., Sushchik, M. M., Tsimring, L. S., & Abarbanel, H. D. I. (1995) · Physical Review E · doi:10.1103/physreve.51.980 · Cited by 1,799
Self-citationFrom Clocks to Chaos: The Rhythms of Life
Glass, L., & Mackey, M. C. (1988) · Princeton University Press eBooks · doi:10.1515/9780691221793 · Cited by 1,251
From Clocks to Chaos: The Rhythms of Life
Glass, L., Mackey, M. C., & Zweifel, P. F. (1989) · Physics Today · doi:10.1063/1.2811091 · Cited by 1,132
Kocarev, L., & Parlitz, U. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.1816 · Cited by 1,029
Stability of incoherence in a population of coupled oscillators
Strogatz, S. H., & Mirollo, R. E. (1991) · Journal of Statistical Physics · doi:10.1007/bf01029202 · Cited by 566
Synchronous chaos in coupled oscillator systems
Heagy, J. F., Carroll, T. L., & Pecora, L. M. (1994) · Physical Review E · doi:10.1103/physreve.50.1874 · Cited by 462
Stochastic synchronization of oscillation in dissipative systems
Afraimovich, V. S., Verichev, N. N., & Rabinovich, M. I. (1986) · Radiophysics and Quantum Electronics · doi:10.1007/bf01034476 · Cited by 433
Schiff, S. J., So, P., Chang, T., Burke, R. E., & Sauer, T. (1996) · Physical Review E · doi:10.1103/physreve.54.6708 · Cited by 422
Synchronization and computation in a chaotic neural network
Hansel, D., & Sompolinsky, H. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.718 · Cited by 332
Cited by
Memristive Rulkov Neuron Model With Magnetic Induction Effects
Li, K., Bao, H., Li, H., Ma, J., Hua, Z., & Bao, B. (2022) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2021.3086819 · Cited by 268
A Parallel Color Image Encryption Algorithm Based on a 2-D Logistic-Rulkov Neuron Map
Gao, S., Zhang, Z., Iu, H. H.-C., Ding, S., Mou, J., Erkan, U., Toktas, A., Li, Q., Wang, C., & Cao, Y. (2025) · IEEE Internet of Things Journal · doi:10.1109/jiot.2025.3540097 · Cited by 168
Metadata
- Authors
- Rulkov, N. F.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-01-01
- Volume
- 86
- Issue
- 1
- Pages
- 183-186
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2001395894
- Cited by
- 458
- References
- 16
- FWCI
- 7.66
- Type
- journal article
- Language
- en
- Open access
- green
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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.
