http://www.cnr.it/ontology/cnr/individuo/prodotto/ID57126
Dynamical phases of the Hindmarsh-Rose neuronal model: studies of the transition from bursting to spiking chaos (Articolo in rivista)
- Type
- Label
- Dynamical phases of the Hindmarsh-Rose neuronal model: studies of the transition from bursting to spiking chaos (Articolo in rivista) (literal)
- Anno
- 2007-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1063/1.2818153 (literal)
- Alternative label
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Innocenti G. (1); Morelli A. (2); Genesio R. (3); Torcini A. (4); (literal)
- Pagina inizio
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
- Rivista
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
- Note
- ISI Web of Science (WOS) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- 1) Dipartimento di Sistemi ed Informatica, Universitá di Firenze, via S. Marta 3, 50139 Firenze, Italy
and Centro Interdipartimentale per lo Studio di Dinamiche Complesse, Universitá di Firenze,
I-50019 Sesto Fiorentino, Italy
2) Dipartimento di Sistemi ed Informatica, Universitá di Firenze, via S. Marta 3, 50139 Firenze, Italy,
Istituto Nazionale di Ottica Applicata, Consiglio Nazionale delle Ricerche, Largo E. Fermi, 5,
I-50125 Firenze, Italy, and Centro Interdipartimentale per lo Studio di Dinamiche Complesse,
Universitá di Firenze, I-50019 Sesto Fiorentino, Italy
3) Dipartimento di Sistemi ed Informatica, Universitá di Firenze, via S. Marta 3, 50139 Firenze, Italy
and Centro Interdipartimentale per lo Studio di Dinamiche Complesse, Universitá di Firenze,
I-50019 Sesto Fiorentino, Italy
4) Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, via Madonna del Piano, 10,
I-50019 Sesto Fiorentino, Italy, Istituto di Fisica Nucleare, Sezione di Firenze, I-50019 Sesto Fiorentino,
Italy, and Centro Interdipartimentale per lo Studio di Dinamiche Complesse, Universitá di Firenze,
I-50019 Sesto Fiorentino, Italy (literal)
- Titolo
- Dynamical phases of the Hindmarsh-Rose neuronal model: studies of the transition from bursting to spiking chaos (literal)
- Abstract
- The dynamical phases of the Hindmarsh-Rose neuronal model are analyzed in detail by varying the
external current I. For increasing current values, the model exhibits a peculiar cascade of nonchaotic
and chaotic period-adding bifurcations leading the system from the silent regime to a chaotic
state dominated by bursting events. At higher I-values, this phase is substituted by a regime of
continuous chaotic spiking and finally via an inverse period doubling cascade the system returns to
silence. The analysis is focused on the transition between the two chaotic phases displayed by the
model: one dominated by spiking dynamics and the other by bursts. At the transition an abrupt
shrinking of the attractor size associated with a sharp peak in the maximal Lyapunov exponent is
observable. However, the transition appears to be continuous and smoothed out over a finite current
interval, where bursts and spikes coexist. The beginning of the transition ?from the bursting side? is
signaled from a structural modification in the interspike interval return map. This change in the map
shape is associated with the disappearance of the family of solutions responsible for the onset of the
bursting chaos. The successive passage from bursting to spiking chaos is associated with a progressive
pruning of unstable long-lasting bursts. (literal)
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