Ring of map-based neural oscillators: From order to chaos and back

Irina A. Bashkirtseva, Lev B. Ryashko and Alexander N. Pisarchik

Chaos, Solitons & Fractals, 2020, vol. 136, issue C

Abstract: We study transitions from regular to chaotic dynamics and back of a ring of three map-based neurons with parameter mismatch. First, we consider the case when each neuron being isolated is in a stable equilibrium and show that an increase in the coupling strength can lead to chaotic dynamics following a quasiperiodic behavior. Then, we consider the case when the uncoupled neurons are in a chaotic state and demonstrate the route from chaos to periodicity as the coupling strength is increased. We show that this interesting effect results from lag synchronization of the coupled neural oscillators. The system stability is characterized by the largest Lyapunov exponents in the space of the coupling strength and parameter mismatch, while lag synchronization is measured using the similarity function.

Keywords: Neuron-like oscillator; Rulkov map; Spiking; Chaos; Lyapunov exponent; Coupling; Synchronization (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:136:y:2020:i:c:s0960077920302307

DOI: 10.1016/j.chaos.2020.109830

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