Discrete hybrid Izhikevich neuron model: Nodal and network behaviours considering electromagnetic flux coupling
SS Muni, K Rajagopal, A Karthikeyan, S Arun - Chaos, Solitons & Fractals, 2022 - Elsevier
We analyse the dynamics of the improved discretised version of the well known Izhikevich
neuron model under the action of external electromagnetic field. It is found that the improved …
neuron model under the action of external electromagnetic field. It is found that the improved …
Route to chaos and chimera states in a network of memristive Hindmarsh-Rose neurons model with external excitation
In this paper we have introduced and investigated the collective behavior of a network of
memristive Hindmarsh-Rose (HR) neurons. The proposed model was built considering the …
memristive Hindmarsh-Rose (HR) neurons. The proposed model was built considering the …
Complex dynamics of a heterogeneous network of Hindmarsh-Rose neurons
This contribution is devoted to the study of the collective behavior of two HR neurons
followed by a network of HR neurons. The collective behavior of the two coupled neuron …
followed by a network of HR neurons. The collective behavior of the two coupled neuron …
Repulsive inter-layer coupling induces anti-phase synchronization
We present numerical results for the synchronization phenomena in a bilayer network of
repulsively coupled 2D lattices of van der Pol oscillators. We consider the cases when the …
repulsively coupled 2D lattices of van der Pol oscillators. We consider the cases when the …
Transition from chimera/solitary states to traveling waves
We study numerically the spatiotemporal dynamics in a ring network of nonlocally coupled
nonlinear oscillators, each represented by a two-dimensional discrete-time model of the …
nonlinear oscillators, each represented by a two-dimensional discrete-time model of the …
[HTML][HTML] On the analysis of a heterogeneous coupled network of memristive Chialvo neurons
We perform a numerical study on the application of electromagnetic flux on a heterogeneous
network of Chialvo neurons represented by a ring-star topology. Heterogeneities are …
network of Chialvo neurons represented by a ring-star topology. Heterogeneities are …
Anti-phase synchronization of waves in a multiplex network of van der Pol oscillators
We study numerically the spatiotemporal dynamics and anti-phase synchronization of
complex structures in a two-layer multiplex network of bidirectionally and repulsively …
complex structures in a two-layer multiplex network of bidirectionally and repulsively …
Symmetry-breaking higher-order interactions in coupled phase oscillators
This paper investigates the route to synchronization in an extension of the Kuramoto model,
which incorporates higher order interactions and do not preserve rotational symmetry …
which incorporates higher order interactions and do not preserve rotational symmetry …
Identification of single-and double-well coherence–incoherence patterns by the binary distance matrix
The study of chimera states or, more generally, coherence–incoherence patterns has led to
the development of several tools for their identification and characterization. In this work, we …
the development of several tools for their identification and characterization. In this work, we …
[HTML][HTML] Spatiotemporal patterns and collective dynamics of bi-layer coupled Izhikevich neural networks with multi-area channels
G Wang, Y Fu - Mathematical Biosciences and Engineering, 2023 - aimspress.com
The firing behavior and bifurcation of different types of Izhikevich neurons are analyzed
firstly through numerical simulation. Then, a bi-layer neural network driven by random …
firstly through numerical simulation. Then, a bi-layer neural network driven by random …