Emergence of chimera states in a neuronal model of delayed oscillators

Lucchetti, Alessandra; Jensen, Mogens H.; Heltberg, Mathias L.

doi:10.1103/physrevresearch.3.033041

Cited by 9 publications

(4 citation statements)

References 45 publications

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“…It was demonstrated the importance of such interactions to obtain synchronous and desynchronous behaviors coexisting [27]. Chimera states were also reported in time-delay networks [28,29].…”

Section: Introductionmentioning

confidence: 85%

Spiral wave dynamics in a neuronal network model

Souza,

Borges,

Gabrick

et al. 2024

J. Phys. Complex.

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Spiral waves are spatial-temporal patterns that can emerge in different systems as heart tissues, chemical oscillators, ecological networks and the brain. These waves have been identified in the neocortex of turtles, rats, and humans, particularly during sleep-like states. Although their functions in cognitive activities remain until now poorly understood, these patterns are related to cortical activity modulation and contribute to cortical processing. In this work, we construct a neuronal network layer based on the spatial distribution of pyramidal neurons. Our main goal is to investigate how local connectivity and coupling strength are associated with the emergence of spiral waves. Therefore, we propose a trustworthy method capable of detecting different wave patterns, based on local and global phase order parameters. As a result, we find that the range of connection radius (R) plays a crucial role in the appearance of spiral waves. For R < 20 µm, only asynchronous activity is observed due to small number of connections. The coupling strength (gsyn ) greatly influences the pattern transitions for higher R, where spikes and bursts firing patterns can be observed in spiral and non-spiral waves. Finally, we show that for some values of R and gsyn bistable states of wave patterns are obtained.

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Section: Introductionmentioning

confidence: 85%

Spiral wave dynamics in a neuronal network model

Souza,

Borges,

Gabrick

et al. 2024

J. Phys. Complex.

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show abstract

“…Despite the large number of studies devoted to investigate chimera states in spiking neuron networkssee e.g. [60][61][62][63][64][65][66][67][68][69] -, the relation between such states and the original chimera states uncovered in the KM 40,41,58 is lacking 70,72 .…”

Section: Discussionmentioning

confidence: 99%

“…Several papers have been devoted to investigate chimera states in networks of spiking neurons, see e.g. [59][60][61][62][63][64][65][66][67][68][69] . Some of them provide numerical evidence that the presence of both chemical and electrical synapses favors the emergence of chimera states 65,67 .…”

Section: Chimera States In Coupled Homogeneous Populations Of Qif Neu...mentioning

confidence: 99%

Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling

Clusella,

Pietras,

Montbrió

2021

Preprint

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We derive the Kuramoto model (KM) corresponding to a population of weakly coupled, nearly identical quadratic integrate-and-fire neurons (QIF) with both electrical and chemical coupling. The ratio of chemical to electrical coupling determines the phase lag of the characteristic sine coupling function of the KM, and critically determines the synchronization properties of the network. We apply our results to investigate chimera states in two coupled populations of identical QIF neurons. We find that the presence of both electrical and chemical coupling is a necessary condition for chimera states to exist. Finally, we numerically demonstrate that chimera states gradually disappear as coupling strengths cease to be weak.

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“…A random selection of recent publications are Refs. [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63] . For a recent review on the OA ansatz, the reader is referred to Ref.…”

Section: A Analysis In Absence Of Resetting: the Ott-antonsen Ansatzmentioning

confidence: 99%

Synchronization in the Kuramoto model in presence of stochastic resetting

Sarkar,

Gupta

2022

Preprint

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Emergence of chimera states in a neuronal model of delayed oscillators

Cited by 9 publications

References 45 publications

Spiral wave dynamics in a neuronal network model

Spiral wave dynamics in a neuronal network model

Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling

Synchronization in the Kuramoto model in presence of stochastic resetting

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