Article
Jittering regimes of two spiking oscillators with delayed coupling
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Abstract
A system of two oscillators with delayed pulse coupling is studied analytically and numerically. The so-called jittering regimes with non-equal inter-spike intervals are observed. The analytical conditions for the emergence of in-phase and anti-phase jittering are derived. The obtained results suggest universality of the multi-jitter instability for systems with delayed pulse coupling.
Keywords
Pulse-coupled oscillators, synchronization, phase resetting curve, delayed coupling, jittering, 37L10, 37L15
Citation
Klinshov, V., Maslennikov, O., & Nekorkin, V. (2016). Jittering regimes of two spiking oscillators with delayed coupling. Applied Mathematics and Nonlinear Sciences, 1(1), 197–206. https://doi.org/10.21042/AMNS.2016.1.00015
V. Klinshov, O. Maslennikov and V. Nekorkin, “Jittering regimes of two spiking oscillators with delayed coupling,” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, pp. 197–206, 2016, doi: 10.21042/AMNS.2016.1.00015.
Klinshov V, Maslennikov O, Nekorkin V. Jittering regimes of two spiking oscillators with delayed coupling. Applied Mathematics and Nonlinear Sciences. 2016;1(1):197–206. doi:10.21042/AMNS.2016.1.00015.
Klinshov, V., Maslennikov, O. and Nekorkin, V. (2016), ‘Jittering regimes of two spiking oscillators with delayed coupling’, Applied Mathematics and Nonlinear Sciences, 1(1), pp. 197–206. Available at: https://doi.org/10.21042/AMNS.2016.1.00015.
Klinshov, Vladimir, et al. “Jittering Regimes of Two Spiking Oscillators with Delayed Coupling.” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, 2016, pp. 197–206. https://doi.org/10.21042/AMNS.2016.1.00015.
Klinshov, Vladimir, Oleg Maslennikov, and Vladimir Nekorkin. “Jittering Regimes of Two Spiking Oscillators with Delayed Coupling.” Applied Mathematics and Nonlinear Sciences 1, no. 1 (2016): 197–206. https://doi.org/10.21042/AMNS.2016.1.00015.
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