SUPPRESSING SPIRAL WAVE TURBULENCE IN A SIMPLE FRACTIONAL-ORDER DISCRETE NEURON MAP USING IMPULSE TRIGGERING

One-dimensional (1D) map-based neuron models are of significant interest according to their simplicity of simulation and ability to mimic real neurons' complex behaviors. A fractional-order 1D neuron map is proposed in this paper. Dynamical characteristics of the model are analyzed by obtaining bifurcation diagrams and the Lyapunov exponents' diagram. Furthermore, emerging the spiral wave as one of the most important collective behaviors is studied in a 2D lattice consisting of this new FO neuron model. The outcome of changing stimuli, coupling strength, and fractional-order parameter as the effective parameters is examined in this network. Moreover, an efficient way of suppressing the spiral wave has been investigated using impulse triggering.

Automated summary

The paper presents a fractional-order 1D neuron map and analyzes its dynamical characteristics through bifurcation diagrams and Lyapunov exponents' diagram. In a 2D lattice, the emergence of spiral wave as a significant collective behavior is studied, along with the examination of the effects of changing stimuli and parameters in the network. Additionally, an effective method of suppressing the spiral wave through impulse triggering has been investigated.