Desynchronization in diluted neural networks
| dc.creator | Zillmer, R. | |
| dc.creator | Livi, R. | |
| dc.creator | Politi, A. | |
| dc.creator | Torcini, A. | |
| dc.date | 2006-03-07 | |
| dc.date | 2006-06-15 | |
| dc.date.accessioned | 2026-07-07T07:02:11Z | |
| dc.date.available | 2026-07-07T07:02:11Z | |
| dc.description | The dynamical behaviour of a weakly diluted fully-inhibitory network of pulse-coupled spiking neurons is investigated. Upon increasing the coupling strength, a transition from regular to stochastic-like regime is observed. In the weak-coupling phase, a periodic dynamics is rapidly approached, with all neurons firing with the same rate and mutually phase-locked. The strong-coupling phase is characterized by an irregular pattern, even though the maximum Lyapunov exponent is negative. The paradox is solved by drawing an analogy with the phenomenon of ``stable chaos'', i.e. by observing that the stochastic-like behaviour is "limited" to a an exponentially long (with the system size) transient. Remarkably, the transient dynamics turns out to be stationary. | |
| dc.description | 11 pages, 13 figures, submitted to Phys. Rev. E | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0603154 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0603154 | |
| dc.identifier | Phys. Rev. E 74 (2006) 036203 | |
| dc.identifier | doi:10.1103/PhysRevE.74.036203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108515 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Desynchronization in diluted neural networks | |
| dc.type | text |