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Jittering regimes of two spiking oscillators with delayed coupling

Vladimir Klinshov

Vladimir Klinshov

Institute of Applied Physics of the Russian Academy of SciencesNizhny Novgorod, Russia
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Klinshov, Vladimir
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Oleg Maslennikov

Oleg Maslennikov

Institute of Applied Physics of the Russian Academy of SciencesNizhny Novgorod, Russia
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Maslennikov, Oleg
 and 
Vladimir Nekorkin

Vladimir Nekorkin

Institute of Applied Physics of the Russian Academy of SciencesNizhny Novgorod, Russia
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Nekorkin, Vladimir
  
Mar 14, 2016
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Published Online: Mar 14, 2016
Page range: 197 - 206
Received: Nov 12, 2015
Accepted: Mar 11, 2016
DOI: https://doi.org/10.21042/AMNS.2016.1.00015
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© 2016 Vladimir Klinshov, Oleg Maslennikov, Vladimir Nekorkin, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

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English
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Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
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