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

Karthikeyan Rajagopal (), Shirin Panahi (), Mo Chen (), Sajad Jafari and Bocheng Bao
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Karthikeyan Rajagopal: Center for Nonlinear Systems, Chennai Institute of Technology, India
Shirin Panahi: Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran
Mo Chen: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, P. R. China
Sajad Jafari: Department of Biomedical Engineering, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, Iran5Health Technology Research Institute, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran 159163-4311, Iran
Bocheng Bao: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 08, 1-10

Abstract: 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.

Keywords: Fractional-Order; Chaotic Map; Spiral Waves (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0218348X21400302

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