Map-based models in neuronal dynamics
B Ibarz, JM Casado, MAF Sanjuán - Physics reports, 2011 - Elsevier
Ever since the pioneering work of Hodgkin and Huxley, biological neuron models have
consisted of ODEs representing the evolution of the transmembrane voltage and the …
consisted of ODEs representing the evolution of the transmembrane voltage and the …
Multistability and phase synchronization of Rulkov neurons coupled with a locally active discrete memristor
In order to enrich the dynamic behaviors of discrete neuron models and more effectively
mimic biological neural networks, this paper proposes a bistable locally active discrete …
mimic biological neural networks, this paper proposes a bistable locally active discrete …
Synchronization coexistence in a Rulkov neural network based on locally active discrete memristor
At present, many neuron models have been proposed, which can be divided into discrete
neuron models and continuous neuron models. Discrete neuron models have the …
neuron models and continuous neuron models. Discrete neuron models have the …
A brief history of excitable map-based neurons and neural networks
M Girardi-Schappo, MHR Tragtenberg… - Journal of neuroscience …, 2013 - Elsevier
This review gives a short historical account of the excitable maps approach for modeling
neurons and neuronal networks. Some early models, due to [Pasemann, 1993],[Chialvo …
neurons and neuronal networks. Some early models, due to [Pasemann, 1993],[Chialvo …
Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability
Synchronization transitions are investigated in small-world neuronal networks that are
locally modeled by the Rulkov map with additive spatiotemporal noise. In particular, we …
locally modeled by the Rulkov map with additive spatiotemporal noise. In particular, we …
Impact of delays and rewiring on the dynamics of small-world neuronal networks with two types of coupling
We study synchronization transitions and pattern formation on small-world networks
consisting of Morris–Lecar excitable neurons in dependence on the information …
consisting of Morris–Lecar excitable neurons in dependence on the information …
A multiplier-free Rulkov neuron under memristive electromagnetic induction: Dynamics analysis, energy calculation, and circuit implementation
Establishing a realistic and multiplier-free implemented biological neuron model is
significant for recognizing and understanding natural firing behaviors, as well as advancing …
significant for recognizing and understanding natural firing behaviors, as well as advancing …
Synchronization in a network of map-based neurons with memristive synapse
The synchronization of coupled neurons has been an important field of study in
neuroscience. In this paper, the synchronization in coupled map-based neurons is studied. It …
neuroscience. In this paper, the synchronization in coupled map-based neurons is studied. It …
Synchronization and bursting transition of the coupled Hindmarsh-Rose systems with asymmetrical time-delays
DG Fan, QY Wang - Science China Technological Sciences, 2017 - Springer
The study of synchronization and bursting transition is very important and valuable in
cognitive activities and action control of brain as well as enhancement for the reliability of the …
cognitive activities and action control of brain as well as enhancement for the reliability of the …
Chaotic phase synchronization in small-world networks of bursting neurons
We investigate the chaotic phase synchronization in a system of coupled bursting neurons in
small-world networks. A transition to mutual phase synchronization takes place on the …
small-world networks. A transition to mutual phase synchronization takes place on the …