Birth and death of spiral waves in a network of Hindmarsh-rose neurons with exponential magnetic flux and excitable media

DOI10.1016/j.amc.2019.02.041zbMath1428.92012OpenAlexW2918982958WikidataQ115598149 ScholiaQ115598149MaRDI QIDQ2011112

Fatemeh Parastesh, Tasawar Hayat, Fawaz E. Alsaadi, Karthikeyan Rajagopal, Viet-Thanh Pham, Iqtadar Hussain

Publication date: 28 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.02.041

zbMATH Keywords

neuronal networkspiral waveexternal electromagnetic excitationmodified HR model

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23)

Related Items (11)

Wave propagation in a network of interacting nephrons ⋮ Pattern selection in thermosensitive neuron network induced by noise ⋮ Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera ⋮ Initial-induced coexisting and synchronous firing activities in memristor synapse-coupled Morris-Lecar bi-neuron network ⋮ Development and transition of target waves in the network of Hindmarsh–Rose neurons under electromagnetic radiation ⋮ Memristor Initial-Offset Boosting in Memristive HR Neuron Model with Hidden Firing Patterns ⋮ Synchronization of chaotic jerk systems ⋮ Dynamical behavior and network analysis of an extended Hindmarsh-Rose neuron model ⋮ Noise induced suppression of spiral waves in a hybrid FitzHugh–Nagumo neuron with discontinuous resetting ⋮ Analysis of dynamical robustness of multilayer neuronal networks with inter-layer ephaptic coupling at different scales ⋮ Emergence of Turing patterns and dynamic visualization in excitable neuron model

Cites Work

• Spike phase synchronization in multiplex cortical neural networks
• Synchronizability of two neurons with switching in the coupling
• Wavefront-obstacle interactions and the initiation of reentry in excitable media
• Spiral breakup in a RD system of cardiac excitation due to front-back interaction
• Dynamics of scroll waves with time-delay propagation in excitable media
• Taking control of initiated propagating wave in a neuronal network using magnetic radiation
• Complex networks: structure and dynamics
• NEURAL EXCITABILITY, SPIKING AND BURSTING

This page was built for publication: Birth and death of spiral waves in a network of Hindmarsh-rose neurons with exponential magnetic flux and excitable media