Firing Properties and Synchronization Rate in Fractional-Order Hind-marsh-Rose Model Neurons
Release Time:2025-04-30
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- Date:
- 2025-04-30
- Title of Paper:
- Firing Properties and Synchronization Rate in Fractional-Order Hind-marsh-Rose Model Neurons
- Journal:
- Science China (Technological Sciences)
- Summary:
- We find that the fractional-order Hindmarsh—Rose model neuron demonstrates various types of firing behavior as a function of the fractional order in this study. There exists a clear difference in the bifurcation diagram between the fractional-order Hindmarsh—Rose model and the corresponding integer-order model even though the neuron undergoes a Hopf bifurcation to oscillation and then starts a period-doubling cascade to chaos with the decrease of the externally applied current. Interestingly, the discharge frequency of the fractional-order Hindmarsh—Rose model neuron is greater than that of the integer-order coun-terpart irrespective of whether the neuron exhibits periodic or chaotic firing. Then we demonstrate that the firing behavior of the fractional-order Hindmarsh—Rose model neuron has a higher complexity than that of the integer-order counterpart. Also, the synchronization phenomenon is investigated in the network of two electrically coupled fractional-order model neurons. We show that the synchronization rate increases as the fractional order decreases.
- Co-author:
- XIE Yong, KANG YanMei, LIU Yong, WU Ying
- Volume:
- 57(5)
- Page Number:
- 914-922
- Translation or Not:
- No
- Date of Publication:
- 2014-04-01