The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Time Delay Induced Death in Coupled Limit Cycle Oscillators
Open accessAbstract
We investigate the dynamical behavior of two limit cycle oscillators that interact with each other via time delayed coupling and find that time delay can lead to amplitude death of the oscillators even if they have the same frequency. We demonstrate that this novel regime of amplitude ``death'' also exists for large collections of coupled identical oscillators and provide quantitative measures of this death region in the parameter space of coupling strength and time delay. Its implication for certain biological and physical applications is also pointed out.
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Citations
Cites
The Geometry of Biological Time
Winfree, A. T. (1980) · doi:10.1007/978-3-662-22492-2 · Cited by 3,613
Cited by
Time Delay in the Kuramoto Model of Coupled Oscillators
Yeung, M. K. S., & Strogatz, S. H. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.648 · Cited by 601
Role of myelin plasticity in oscillations and synchrony of neuronal activity
Pajevic, S., Basser, P. J., & Fields, R. D. (2014) · Neuroscience · doi:10.1016/j.neuroscience.2013.11.007 · Cited by 378
Amplitude death: The emergence of stationarity in coupled nonlinear systems
Saxena, G., Prasad, A., & Ramaswamy, R. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.09.003 · Cited by 375
Metadata
- Authors
- Ramana Reddy, D. V., Sen, A., & Johnston, G. L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-06-08
- Volume
- 80
- Issue
- 23
- Pages
- 5109-5112
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2158533181
- Cited by
- 593
- References
- 1
- FWCI
- 14.25
- Type
- journal article
- Language
- en
- Open access
- green
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- Ramana Reddy, D. V., Sen, A., & Johnston, G. L. (1998). Time Delay Induced Death in Coupled Limit Cycle Oscillators. Physical Review Letters. https://doi.org/10.1103/physrevlett.80.5109
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