Synchronization transitions induced by partial time delay in a excitatory–inhibitory coupled neuronal network

Synchronization transitions induced by partial time delay in a excitatory–inhibitory coupled... Information transmission delays are an inherent factor of neuronal systems as a consequence of the finite propagation speeds and time lapses occurring by both dendritic and synaptic processes. In real neuronal systems, some delay between two neurons is too small and can be ignored, which results in partial time delay. In this paper, we focus on investigating influences of partial time delay on synchronization transitions in a excitatory–inhibitory (E–I) coupled neuronal networks. Here, we suppose time delay between two neurons equals to $$\tau $$ τ with probability $$p_{\mathrm{delay}}$$ p delay and investigate effect of partial time delay on synchronization transitions of the neuronal networks by controlling $$\tau $$ τ and $$p_{\mathrm{delay}}$$ p delay under three cases. In these three cases, excitatory synapses are always considered to delayed with probability $$p_{\mathrm{delay}}$$ p delay , while inhibitory synapses are considered to be without delays (case I), delayed with probability $$p_{\mathrm{delay}}$$ p delay (case II), and always delayed (case III), respectively. It is revealed that, in the first two cases, partial time delay has little influences on synchronization of the neuronal network for small $$p_{\mathrm{delay}}$$ p delay , while it could induce synchronization transitions at $$\tau $$ τ around integer multiples of the period of individual neuron T when $$p_{\mathrm{delay}}$$ p delay is large enough, while in the case III, partial time delay could induce synchronization transitions at $$\tau $$ τ being around odd integer multiples of T / 2 for small $$p_{\mathrm{delay}}$$ p delay and at $$\tau $$ τ being around integer multiples of T for large $$p_{\mathrm{delay}}$$ p delay . Most interesting observation is that partial time delay could induce frequent synchronization transitions at $$\tau $$ τ being around integer multiples of T / 2 for intermediate $$p_{\mathrm{delay}}$$ p delay . Moreover, effect of rewiring probability on synchronization transitions induced by partial time delay has been discussed. It is found that synchronization transitions induced by partial time delay are robust to rewiring probability for large $$p_{\mathrm{delay}}$$ p delay under the three cases. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Dynamics Springer Journals

Synchronization transitions induced by partial time delay in a excitatory–inhibitory coupled neuronal network

Loading next page...
 
/lp/springer_journal/synchronization-transitions-induced-by-partial-time-delay-in-a-uiRHBBZlud
Publisher
Springer Netherlands
Copyright
Copyright © 2017 by Springer Science+Business Media B.V.
Subject
Engineering; Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering
ISSN
0924-090X
eISSN
1573-269X
D.O.I.
10.1007/s11071-017-3600-4
Publisher site
See Article on Publisher Site

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

Monthly Plan

  • Read unlimited articles
  • Personalized recommendations
  • No expiration
  • Print 20 pages per month
  • 20% off on PDF purchases
  • Organize your research
  • Get updates on your journals and topic searches

$49/month

Start Free Trial

14-day Free Trial

Best Deal — 39% off

Annual Plan

  • All the features of the Professional Plan, but for 39% off!
  • Billed annually
  • No expiration
  • For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.

$588

$360/year

billed annually
Start Free Trial

14-day Free Trial