Research Article

Effect of Electrical and Chemical Autapse on the Firing Pattern and Synchronization of the Rulkov Neuron Model

Table 1

Comparison of the present study with some recent related papers.

ReferencesYearModelsAutapse typesDescriptions

[1]2022WilsonMemristive autapse(i) Different dynamics such as quiescent, bursting, and spiking can be observed
(ii) The model represents the coexistence of two and three firing patterns for the same set of parameters
(iii) A strong autaptic coupling can lead to chaotic and chimera states

[2]2022FitzHugh–NagumoElectrical autapse with time-dependent intensity(i) The reliability of logical operation has been examined and shown that it is maximized in specific ranges of autaptic time delay and also amplitude and frequency of coupling intensity

[6]20225D Hindmarsh–RoseMemristive autapse(i) The positive feedback autaptic current results in decreased firing frequency, while the negative one induces excitability

[4]2022IzhikevichElectrical autapse(i) The Izhikevich model exhibits more complex spiking and bursting patterns as the effect of the autapse and electromagnetic induction

[5]2023Modified Morris–LecarChemical autapse(i) Bifurcation analysis is done and the paradoxical response of the bursting is observed
(ii) The mechanism of the reduced bursting activity under excitatory autapse is revealed

[3]2023Morris–LecarMemristive autapse(i) The dynamics of the neuron can change between periodic and chaotic firings by the memristive autapse
(ii) Increasing the autapse time delay can extend the chaotic regions
(iii) Multistability can be observed

[7]2023Chemical autapse(i) The inhibitory autapse with a fast decay time constant induces bursting activities enhancement, while a slow decay time constant leads to a reduction of activities
(ii) The bifurcation analysis is done to find the mechanism of the paradoxical responses

Present studyRulkov modelElectrical and chemical autapse(i) The model represents a rich bifurcation diagram with a variety of firing patterns by varying the autapse parameters
(ii) The enhanced firing activity is induced by the inhibitory autapse