Articolo in rivista, 2006, ENG, 10.1103/PhysRevE.74.036203

Desynchronization in diluted neural networks

Zillmer, R (1); Livi, R (2,3); Politi, A (4,5); Torcini, A (4,5);

1) INFN Sezione Firenze, via Sansone 1, I-50019 Sesto Fiorentino, Italy 2) Dipartimento di Fisica, Universitá di Firenze, via Sansone 1, I-50019 Sesto Fiorentino, Italy 3) Sezione INFN, Unita’ INFM e Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, via Sansone 1, I-50019 Sesto Fiorentino, Italy 4) Istituto dei Sistemi Complessi, CNR, CNR, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy 5) Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, via Sansone 1, I-50019 Sesto Fiorentino

The dynamical behavior of a weakly diluted fully inhibitory network of pulse-coupled spiking neurons is investigated. Upon increasing the coupling strength, a transition from regular to stochasticlike 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 stochasticlike behavior is 'limited' to an exponentially long (with the system size) transient. Remarkably, the transient dynamics turns out to be stationary.

Physical review. E, Statistical, nonlinear, and soft matter physics (Print) 74 , pp. 036203–?

Keywords

PARTIAL SYNCHRONIZATION, COMPLEX NETWORKS, OSCILLATORS, TRANSIENTS, Neural networks

CNR authors

Livi Roberto, Politi Antonio, Torcini Alessandro

CNR institutes

ISC – Istituto dei sistemi complessi, INFM – Centro di responsabilità scientifica INFM

ID: 166994

Year: 2006

Type: Articolo in rivista

Last update: 2012-06-07 18:04:40.000

External links

OAI-PMH: Dublin Core

OAI-PMH: Mods

OAI-PMH: RDF

DOI: 10.1103/PhysRevE.74.036203

External IDs

CNR OAI-PMH: oai:it.cnr:prodotti:166994

DOI: 10.1103/PhysRevE.74.036203

ISI Web of Science (WOS): 000240870300040