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Type I vs. type II excitable systems with delayed coupling

Author

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  • Burić, Nikola
  • Grozdanović, Ines
  • Vasović, Nebojša

Abstract

Excitable and oscillatory dynamics of delayed locally coupled type I and type II excitable systems is analyzed. Diffusive and sigmoid coupling have been considered. It is shown that the stability and the patterns of exactly synchronous oscillations depend on the type of excitability and the type of coupling. However, within the same class, characterized by the excitability type and the coupling the dynamics qualitatively depends only on whether the number of units is even or odd.

Suggested Citation

  • Burić, Nikola & Grozdanović, Ines & Vasović, Nebojša, 2005. "Type I vs. type II excitable systems with delayed coupling," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1221-1233.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:4:p:1221-1233
    DOI: 10.1016/j.chaos.2004.06.033
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    Cited by:

    1. Burić, Nikola & Todorović, Kristina & Vasović, Nebojša, 2009. "Exact synchronization of noisy bursting neurons with coupling delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1127-1135.
    2. Burić, Nikola & Todorović, Kristina & Vasović, Nebojša, 2009. "Dynamics of noisy FitzHugh–Nagumo neurons with delayed coupling," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2405-2413.
    3. Burić, Nikola & Grozdanović, Ines & Vasović, Nebojša, 2008. "Excitable systems with internal and coupling delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 853-861.

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