Abstract
Neuronal systems have been modelled by complex networks in different description levels. Recently, it has been verified that the networks can simultaneously exhibit one coherent and other incoherent domain, known as chimera states. In this work, we study the existence of chimera-like states in a network considering the connectivity matrix based on the cat cerebral cortex. The cerebral cortex of the cat can be separated in 65 cortical areas organised into the four cognitive regions: visual, auditory, somatosensory-motor and frontolimbic. We consider a network where the local dynamics is given by the Hindmarsh–Rose model. The Hindmarsh–Rose equations are a well known model of the neuronal activity that has been considered to simulate the membrane potential in neuron. Here, we analyse under which conditions chimera-like states are present, as well as the effects induced by intensity of coupling on them. We identify two different kinds of chimera-like states: spiking chimera-like state with desynchronised spikes, and bursting chimera-like state with desynchronised bursts. Moreover, we find that chimera-like states with desynchronised bursts are more robust to neuronal noise than with desynchronised spikes.
Original language | English |
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Pages (from-to) | 86-91 |
Number of pages | 6 |
Journal | Chaos, Solitons & Fractals |
Volume | 101 |
Early online date | 27 May 2017 |
DOIs | |
Publication status | Published - Aug 2017 |
Bibliographical note
AcknowledgmentsThis study was possible by partial financial support from the following Brazilian government agencies: CNPq (154705/2016-0), CAPES, Fundação Araucária, and FAPESP (2016/16148-5, 2015/07311-7, and 2011/19296-1), and IRTG 1740/TRP 2011/50151-0 funded by the DFG/ FAPESP.
Keywords
- chimera-like states
- neuronal network
- noise