4 papers
Stability of Fractional-Order Discrete-Time Systems with Application to Rulkov Neural Networks and Asymmetric Memristor Synapses
Leila Eftekhari, Moein Khalighi, Saeid Abbasbandy
Memristors have emerged as ideal components for modeling synaptic connections in neural networks due to their ability to emulate synaptic plasticity and memory effects. Discrete mo…
Bifurcation analysis of a fractional-order Pinsky-Rinzel model
Leila Eftekhari, Soleiman Hosseinpour, Moein Khalighi +1
Abstract The present work describes a new fractional-order system of a two-compartment CA3 hippocampal pyramidal cell, which is known as Pinsky-Rinzel model with Caputo fractional…
Stability Analysis of Fractional Order Memristor Synapse-coupled Hopfield Neural Network with Ring Structure
Leila Eftekhari, Mohammad M. Amirian
A memristor is a nonlinear two-terminal electrical element that incorporates memory features and nanoscale properties, enabling us to design very high-density artificial neural net…
Three-species predator-prey model with respect to Caputo and Caputo-Fabrizio fractional operators
Leila Eftekhari, Moein Khalighi, Soleiman Hosseinpour +1
We study distributed lag effects in three-dimensional Lotka-Volterra systems by applying the concept of fractional calculus. We derive a new numerical method that provides enhanced…