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| 1 | Enhancement of pacemaker induced stochastic resonance by an autapse in a scale-free neuronal network显示文摘An autapse is an unusual synapse that occurs between the axon and the soma of the same neuron. Mathematically, it can be described as a self-delayed feedback loop that is defined by a specific time-delay and the so-called autaptic coupling strength. Recently, the role and function of autapses within the nervous system has been studied extensively. Here, we extend the scope of theoretical research by investigating the effects of an autapse on the transmission of a weak localized pacemaker activity in a scale-free neuronal network. Our results reveal that by mediating the spiking activity of the pacemaker neuron, an autapse increases the propagation of its rhythm across the whole network, if only the autaptic time delay and the autaptic coupling strength are properly adjusted. We show that the autapse-induced enhancement of the transmission of pacemaker activity occurs only when the autaptic time delay is close to an integer multiple of the intrinsic oscillation time of the neurons that form the network. In particular, we demonstrate the emergence of multiple resonances involving the weak signal, the intrinsic oscillations, and the time scale that is dictated by the autapse. Interestingly, we also show that the enhancement of the pacemaker rhythm across the network is the strongest if the degree of the pacemaker neuron is lowest. This is because the dissipation of the localized rhythm is contained to the few directly linked neurons, and only afterwards, through the secondary neurons, it propagates further. If the pacemaker neuron has a high degree, then its rhythm is simply too weak to excite all the neighboring neurons, and propagation therefore fails. | YILMAZ Ergin BAYSAL Veli PERC Matjaz OZER Mahmut | 2016 | Science China(Technological Sciences)2016，59，3： | 6 |
| 2 | Taming desynchronized bursting with delays in the Macaque cortical network显示文摘Inhibitory coupled bursting Hindmarsh-Rose neurons are considered as constitutive units of the Macaque cortical network. In the absence of information transmission delay the bursting activity is desynchronized,giving rise to spatiotemporally disordered dynamics. This paper shows that the introduction of finite delays can lead to the synchronization of bursting and thus to the emergence of coherent propagating fronts of excitation in the space-time domain. Moreover,it shows that the type of synchronous bursting is uniquely determined by the delay length,with the transitions from one type to the other occurring in a step-like manner depending on the delay. Interestingly,as the delay is tuned close to the transition points,the synchronization deteriorates,which implies the coexistence of different bursting attractors. These phenomena can be observed by different but fixed coupling strengths,thus indicating a new role for information transmission delays in realistic neuronal networks. | 王青云 Murks Aleksandra Perc Matjaz 陆启韶 | 2011 | Chinese Physics B2011，20，4： | 4 |
| 3 | Delay-aided stochastic multiresonances on scale-free FitzHugh-Nagumo neuronal networks显示文摘The stochastic resonance in paced time-delayed scale-free FitzHugh-Nagumo(FHN) neuronal networks is investigated.We show that an intermediate intensity of additive noise is able to optimally assist the pacemaker in imposing its rhythm on the whole ensemble.Furthermore,we reveal that appropriately tuned delays can induce stochastic multiresonances,appearing at every integer multiple of the pacemaker's oscillation period.We conclude that fine-tuned delay lengths and locally acting pacemakers are vital for ensuring optimal conditions for stochastic resonance on complex neuronal networks. | 甘春标 Perc Matjaz 王青云 | 2010 | Chinese Physics B2010，19，4： | 3 |
| 4 | Aperiodically intermittent stochastic stabilization via discrete time or delay feedback control显示文摘In this paper,we present stochastic intermittent stabilization based on the feedback of the discrete time or the delay time.By using the stochastic comparison principle,the Ito formula,and the BorelCantelli lemma,we obtain two sufficient criteria for stochastic intermittent stabilization.The established criteria show that an unstable system can be stabilized by means of a stochastic intermittent noise via a discrete time feedback if the duration timeτis bounded byτ*.Similarly,stabilization via delay time feedback is equally possible if the lag timeτis bounded byτ**.The upper boundτ*andτ**can be computed numerically by solving corresponding equation. | Lei LIU Matjaz PERC Jinde CAO | 2019 | Science China(Information Sciences)2019，62，7： | 2 |
| 5 | Evolutionary dynamics of group interactions on structured populations : a review 显示文摘 | Matjaz Perc Jesus Gomez - Gardenes Attila Szolnoki | 2013 | Journal of the Royal Society Inter- face2013，10，80： | 1 |
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