Effects of the spike timing-dependent plasticity on the synchronisation in a random Hodgkin–Huxley neuronal network

•We have studied the effects of spike timing-dependent plasticity on synchronisation.•We have chosen, as local dynamics, the Hodgkin–Huxley model.•The transition for synchronisation depends on the network architecture and the external perturbation level.

In this paper, we study the effects of spike timing-dependent plasticity on synchronisation in a network of Hodgkin–Huxley neurons. Neuron plasticity is a flexible property of a neuron and its network to change temporarily or permanently their biochemical, physiological, and morphological characteristics, in order to adapt to the environment. Regarding the plasticity, we consider Hebbian rules, specifically for spike timing-dependent plasticity (STDP), and with regard to network, we consider that the connections are randomly distributed. We analyse the synchronisation and desynchronisation according to an input level and probability of connections. Moreover, we verify that the transition for synchronisation depends on the neuronal network architecture, and the external perturbation level.