PMID- 11308739
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20040525
LR  - 20010419
IS  - 1539-3755 (Print)
IS  - 1539-3755 (Linking)
VI  - 63
IP  - 3 Pt 2
DP  - 2001 Mar
TI  - Chaotic dynamics from interspike intervals.
PG  - 036205
AB  - Considering two different mathematical models describing chaotic spiking 
      phenomena, namely, an integrate-and-fire and a threshold-crossing model, we 
      discuss the problem of extracting dynamics from interspike intervals (ISIs) and 
      show that the possibilities of computing the largest Lyapunov exponent (LE) from 
      point processes differ between the two models. We also consider the problem of 
      estimating the second LE and the possibility to diagnose hyperchaotic behavior by 
      processing spike trains. Since the second exponent is quite sensitive to the 
      structure of the ISI series, we investigate the problem of its computation.
FAU - Pavlov, A N
AU  - Pavlov AN
AD  - Nonlinear Dynamics Laboratory, Department of Physics, Saratov State University, 
      Astrakhanskaya Street 83, 410026, Saratov, Russia.
FAU - Sosnovtseva, O V
AU  - Sosnovtseva OV
FAU - Mosekilde, E
AU  - Mosekilde E
FAU - Anishchenko, V S
AU  - Anishchenko VS
LA  - eng
PT  - Journal Article
DEP - 20010221
PL  - United States
TA  - Phys Rev E Stat Nonlin Soft Matter Phys
JT  - Physical review. E, Statistical, nonlinear, and soft matter physics
JID - 101136452
EDAT- 2001/04/20 10:00
MHDA- 2001/04/20 10:01
CRDT- 2001/04/20 10:00
PHST- 2000/06/29 00:00 [received]
PHST- 2001/04/20 10:00 [pubmed]
PHST- 2001/04/20 10:01 [medline]
PHST- 2001/04/20 10:00 [entrez]
AID - 10.1103/PhysRevE.63.036205 [doi]
PST - ppublish
SO  - Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Mar;63(3 Pt 2):036205. doi: 
      10.1103/PhysRevE.63.036205. Epub 2001 Feb 21.