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Why is it important?

Chaotic and synchronized states are two peculiar important phenomena used by the human brain to efficiently perform nervous information in the central nervous system. Both phenomena can be controlled by electromagnetic radiation yielded by the fluctuation of ions concentration across the cell membrane. These evidences are exclusively highlighted in this paper using together the interspike interval on the one hand and the maximum Lyapunov exponent on the other hand as the bifurcation functions allowing to détect chaotic states. Morever, we used the transverse maximum Lyapunov exponent and the synchronization factor to characterize synchronized states in a coupled model of Hindmarsh-Rose-type neurons. We found that chaotic states are eliminated at a critical value of memristor strength which equally ensures the formation of synchronized states.

Perspectives

In our future investigations, we will attempt to combine the conjugate effects of electromagnetic radiation and Time-delays in the controlling of chaos and synchrony in neural models

Armand Sylvin Etémé
University of Yaoundé I

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This page is a summary of: Chaos break and synchrony enrichment within Hindmarsh–Rose-type memristive neural models, Nonlinear Dynamics, June 2021, Springer Science + Business Media,
DOI: 10.1007/s11071-021-06640-8.
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