Effects of time-periodic intercoupling strength on burst synchronization of a clustered neuronal network

Sun, Xiaojuan; Han, Fang; Wiercigroch, Marian; Shi, Xin

doi:10.1016/j.ijnonlinmec.2014.10.012

Cited by 10 publications

(2 citation statements)

References 40 publications

(46 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For phase synchronization of burst neurons, it has been found that at a certain noise intensity the onsets of bursts in different neurons could become phase synchronized. 17 Moreover, some factors such as coupling strength, [26][27][28] coupling forms, 29 diversity, 30 noise, 31 and especially time delay [32][33][34][35] could induce various phase synchronization transitions in neuronal networks.…”

Section: Introductionmentioning

confidence: 99%

Effects of partial time delays on phase synchronization in Watts-Strogatz small-world neuronal networks

Sun

Perc

Kurths

2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

View full text Add to dashboard Cite

In this paper, we study effects of partial time delays on phase synchronization in Watts-Strogatz small-world neuronal networks. Our focus is on the impact of two parameters, namely the time delay τ and the probability of partial time delay p, whereby the latter determines the probability with which a connection between two neurons is delayed. Our research reveals that partial time delays significantly affect phase synchronization in this system. In particular, partial time delays can either enhance or decrease phase synchronization and induce synchronization transitions with changes in the mean firing rate of neurons, as well as induce switching between synchronized neurons with period-1 firing to synchronized neurons with period-2 firing. Moreover, in comparison to a neuronal network where all connections are delayed, we show that small partial time delay probabilities have especially different influences on phase synchronization of neuronal networks.

show abstract

Section: Introductionmentioning

confidence: 99%

Effects of partial time delays on phase synchronization in Watts-Strogatz small-world neuronal networks

Sun

Perc

Kurths

2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

View full text Add to dashboard Cite

show abstract

“…Transitions between various synchronization states have been observed in experiments on cardiac myocytes, on oddball tasks, and in the cardiorespiratory system [3,[7][8][9]. Simulations of synchronization have had various results, such as spiking and bursting synchronizations and synchronization transition process [10][11][12][13][14][15][16][17][18]. Synchronization and synchronization transition may be closely related to information transmission and processing in the nervous system [4,8,9,19,20].…”

Section: Introductionmentioning

confidence: 99%

The dependence of synchronization transition processes of coupled neurons with coexisting spiking and bursting on the control parameter, initial value, and attraction domain

Pan

2015

Nonlinear Dyn

View full text Add to dashboard Cite

As the value of a control parameter decreases, monostable bursting changes to monostable spiking via the coexistence of spiking and bursting in a Leech neuron model, and the attraction domain of the bursting decreases, while that of the coexisting spiking increases for coexisting behaviors. As the coupling strength increases, the two coupled Leech neurons with the coexisting spiking and bursting manifest transitions from non-synchronization to complete synchronization (CS) through a complex process, which is dependent of the values of the control parameter, cases of configurations (one neuron spiking and the other bursting, both bursting, and both spiking), and the initial values of the two neurons. The transition processes involve various spiking and bursting or chaos synchronization states for the first two cases given here, but contain only spiking patterns for the last case. Corresponding with the attraction domain, the probability of initial values that can lead to bursting patterns of CS decreases, but the probability of initial values that can induce spiking of CS increases for the former two cases, as the control parameter is decreased. This phenomenon can also be interpreted by the structure and volume of the attraction domain with which all initial values can only induce CS of spiking for case 3. The results may improve understanding of the synchronization dynamics of the coupled neurons with coexisting behaviors.

show abstract

Synchronization transitions induced by partial time delay in a excitatory–inhibitory coupled neuronal network

Sun

Guo-Fang

2017

Nonlinear Dyn

View full text Add to dashboard Cite

Effects of time-periodic intercoupling strength on burst synchronization of a clustered neuronal network

Cited by 10 publications

References 40 publications

Effects of partial time delays on phase synchronization in Watts-Strogatz small-world neuronal networks

Effects of partial time delays on phase synchronization in Watts-Strogatz small-world neuronal networks

The dependence of synchronization transition processes of coupled neurons with coexisting spiking and bursting on the control parameter, initial value, and attraction domain

Synchronization transitions induced by partial time delay in a excitatory–inhibitory coupled neuronal network

Contact Info

Product

Resources

About