Spiral waves in externally excited neuronal network: Solvable model with a monotonically differentiable magnetic flux
Samo za registrovane korisnike
2019
Autori
Rajagopal, KarthikeyanParastesh, Fatemeh
Azarnoush, Hamed
Hatef, Boshra
Jafari, Sajad
Berec, Vesna I.
Članak u časopisu (Objavljena verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
Spiral waves are particular spatiotemporal patterns connected to specific phase singularities representing topological wave dislocations or nodes of zero amplitude, witnessed in a wide range of complex systems such as neuronal networks. The appearance of these waves is linked to the network structure as well as the diffusion dynamics of its blocks. We report a novel form of the Hindmarsh-Rose neuron model utilized as a square neuronal network, showing the remarkable multistructure of dynamical patterns ranging from characteristic spiral wave domains of spatiotemporal phase coherence to regions of hyperchaos. The proposed model comprises a hyperbolic memductance function as the monotone differentiable magnetic flux. Hindmarsh-Rose neurons with an external electromagnetic excitation are considered in three different cases: no excitation, periodic excitation, and quasiperiodic excitation. We performed an extensive study of the neuronal dynamics including calculation of equilibrium points,... bifurcation analysis, and Lyapunov spectrum. We have found the property of antimonotonicity in bifurcation scenarios with no excitation or periodic excitation and identified wide regions of hyperchaos in the case of quasiperiodic excitation. Furthermore, the formation and elimination of the spiral waves in each case of external excitation with respect to stimuli parameters are investigated. We have identified novel forms of Hindmarsh-Rose bursting dynamics. Our findings reveal multipartite spiral wave formations and symmetry breaking spatiotemporal dynamics of the neuronal model that may find broad practical applications. © 2019 Author(s).
Izvor:
Chaos, 2019, 29, 4, 043109-
DOI: 10.1063/1.5088654
ISSN: 1054-1500; 1089-7682
PubMed: 31042930
WoS: 000466616500014
Scopus: 2-s2.0-85064194151
Kolekcije
Institucija/grupa
VinčaTY - JOUR AU - Rajagopal, Karthikeyan AU - Parastesh, Fatemeh AU - Azarnoush, Hamed AU - Hatef, Boshra AU - Jafari, Sajad AU - Berec, Vesna I. PY - 2019 UR - http://aip.scitation.org/doi/10.1063/1.5088654 UR - https://vinar.vin.bg.ac.rs/handle/123456789/8147 AB - Spiral waves are particular spatiotemporal patterns connected to specific phase singularities representing topological wave dislocations or nodes of zero amplitude, witnessed in a wide range of complex systems such as neuronal networks. The appearance of these waves is linked to the network structure as well as the diffusion dynamics of its blocks. We report a novel form of the Hindmarsh-Rose neuron model utilized as a square neuronal network, showing the remarkable multistructure of dynamical patterns ranging from characteristic spiral wave domains of spatiotemporal phase coherence to regions of hyperchaos. The proposed model comprises a hyperbolic memductance function as the monotone differentiable magnetic flux. Hindmarsh-Rose neurons with an external electromagnetic excitation are considered in three different cases: no excitation, periodic excitation, and quasiperiodic excitation. We performed an extensive study of the neuronal dynamics including calculation of equilibrium points, bifurcation analysis, and Lyapunov spectrum. We have found the property of antimonotonicity in bifurcation scenarios with no excitation or periodic excitation and identified wide regions of hyperchaos in the case of quasiperiodic excitation. Furthermore, the formation and elimination of the spiral waves in each case of external excitation with respect to stimuli parameters are investigated. We have identified novel forms of Hindmarsh-Rose bursting dynamics. Our findings reveal multipartite spiral wave formations and symmetry breaking spatiotemporal dynamics of the neuronal model that may find broad practical applications. © 2019 Author(s). T2 - Chaos T1 - Spiral waves in externally excited neuronal network: Solvable model with a monotonically differentiable magnetic flux VL - 29 IS - 4 SP - 043109 DO - 10.1063/1.5088654 ER -
@article{ author = "Rajagopal, Karthikeyan and Parastesh, Fatemeh and Azarnoush, Hamed and Hatef, Boshra and Jafari, Sajad and Berec, Vesna I.", year = "2019", abstract = "Spiral waves are particular spatiotemporal patterns connected to specific phase singularities representing topological wave dislocations or nodes of zero amplitude, witnessed in a wide range of complex systems such as neuronal networks. The appearance of these waves is linked to the network structure as well as the diffusion dynamics of its blocks. We report a novel form of the Hindmarsh-Rose neuron model utilized as a square neuronal network, showing the remarkable multistructure of dynamical patterns ranging from characteristic spiral wave domains of spatiotemporal phase coherence to regions of hyperchaos. The proposed model comprises a hyperbolic memductance function as the monotone differentiable magnetic flux. Hindmarsh-Rose neurons with an external electromagnetic excitation are considered in three different cases: no excitation, periodic excitation, and quasiperiodic excitation. We performed an extensive study of the neuronal dynamics including calculation of equilibrium points, bifurcation analysis, and Lyapunov spectrum. We have found the property of antimonotonicity in bifurcation scenarios with no excitation or periodic excitation and identified wide regions of hyperchaos in the case of quasiperiodic excitation. Furthermore, the formation and elimination of the spiral waves in each case of external excitation with respect to stimuli parameters are investigated. We have identified novel forms of Hindmarsh-Rose bursting dynamics. Our findings reveal multipartite spiral wave formations and symmetry breaking spatiotemporal dynamics of the neuronal model that may find broad practical applications. © 2019 Author(s).", journal = "Chaos", title = "Spiral waves in externally excited neuronal network: Solvable model with a monotonically differentiable magnetic flux", volume = "29", number = "4", pages = "043109", doi = "10.1063/1.5088654" }
Rajagopal, K., Parastesh, F., Azarnoush, H., Hatef, B., Jafari, S.,& Berec, V. I.. (2019). Spiral waves in externally excited neuronal network: Solvable model with a monotonically differentiable magnetic flux. in Chaos, 29(4), 043109. https://doi.org/10.1063/1.5088654
Rajagopal K, Parastesh F, Azarnoush H, Hatef B, Jafari S, Berec VI. Spiral waves in externally excited neuronal network: Solvable model with a monotonically differentiable magnetic flux. in Chaos. 2019;29(4):043109. doi:10.1063/1.5088654 .
Rajagopal, Karthikeyan, Parastesh, Fatemeh, Azarnoush, Hamed, Hatef, Boshra, Jafari, Sajad, Berec, Vesna I., "Spiral waves in externally excited neuronal network: Solvable model with a monotonically differentiable magnetic flux" in Chaos, 29, no. 4 (2019):043109, https://doi.org/10.1063/1.5088654 . .