Fractional order Leech heart interneuron model is investigated. Different firing properties are explored.
In this article, we investigate the alternation of spiking and bursting phenomena of an uncoupled and coupled fractional Leech-Heart (L-H) neurons. We show that a complete graph of heterogeneous de-synchronized neurons in the backdrop of diverse memory settings (a mixture of integer and fractional exponents) can eventually lead to bursting with the formation of cluster
synchronization over a certain threshold of coupling
strength, however, the uncoupled L-H neurons cannot
reveal bursting dynamics. Using the stability analysis
in fractional domain, we demarcate the parameter
space where the quiescent or steady-state emerges
in uncoupled L-H neuron. Finally, a reduced-order
model is introduced to capture the activities of the
large network of fractional-order model neurons.
Sharma SK, Mondal A, Mondal A, Upadhyay RK, Hens C (2020) Emergence of bursting in a network of memory dependent excitable and spiking leech-heart neurons. J R Soc Interface 17:20190859 [PubMed]