Open AccessSUPPRESSING SPIRAL WAVE TURBULENCE IN A SIMPLE FRACTIONAL-ORDER DISCRETE NEURON MAP USING IMPULSE TRIGGERING
Author(s) -
Karthikeyan Rajagopal,
Shirin Panahi,
Mo Chen,
Sajad Jafari,
Bocheng Bao
Publication year - 2021
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x21400302
Subject(s) - biological neuron model , impulse (physics) , bifurcation , spiral wave , bifurcation diagram , lyapunov exponent , mathematics , statistical physics , spiral (railway) , control theory (sociology) , physics , mathematical analysis , computer science , artificial neural network , nonlinear system , classical mechanics , artificial intelligence , control (management) , quantum mechanics
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.