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Excitable systems with internal and coupling delays

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

Abstract

Two delayed coupled excitable systems with internal delays are studied. For different parametric values each of the isolated units displays excitable, bi-stable or oscillatory dynamics. Bifurcational relations among coupling time-lag and coupling constant for different values of the internal time-lags are obtained. Possible types of synchronization between the units in typical dynamical regimes are studied.

Suggested Citation

  • Burić, Nikola & Grozdanović, Ines & Vasović, Nebojša, 2008. "Excitable systems with internal and coupling delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 853-861.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:4:p:853-861
    DOI: 10.1016/j.chaos.2006.09.061
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    References listed on IDEAS

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    1. 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.
    2. Liu, Yurong & Wang, Zidong & Liu, Xiaohui, 2006. "Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 793-803.
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