PMID- 25637929
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20150521
LR  - 20150202
IS  - 1089-7682 (Electronic)
IS  - 1054-1500 (Linking)
VI  - 25
IP  - 1
DP  - 2015 Jan
TI  - Quantifying chaotic dynamics from integrate-and-fire processes.
PG  - 013118
LID - 10.1063/1.4907175 [doi]
AB  - Characterizing chaotic dynamics from integrate-and-fire (IF) interspike intervals 
      (ISIs) is relatively easy performed at high firing rates. When the firing rate is 
      low, a correct estimation of Lyapunov exponents (LEs) describing dynamical 
      features of complex oscillations reflected in the IF ISI sequences becomes more 
      complicated. In this work we discuss peculiarities and limitations of quantifying 
      chaotic dynamics from IF point processes. We consider main factors leading to 
      underestimated LEs and demonstrate a way of improving numerical determining of 
      LEs from IF ISI sequences. We show that estimations of the two largest LEs can be 
      performed using around 400 mean periods of chaotic oscillations in the regime of 
      phase-coherent chaos. Application to real data is discussed.
FAU - Pavlov, A N
AU  - Pavlov AN
AD  - Department of Physics, Saratov State University, Astrakhanskaya Str. 83, 410012 
      Saratov, Russia.
FAU - Pavlova, O N
AU  - Pavlova ON
AD  - Department of Physics, Saratov State University, Astrakhanskaya Str. 83, 410012 
      Saratov, Russia.
FAU - Mohammad, Y K
AU  - Mohammad YK
AD  - Department of Physics, Saratov State University, Astrakhanskaya Str. 83, 410012 
      Saratov, Russia.
FAU - Kurths, J
AU  - Kurths J
AD  - Potsdam Institute for Climate Impact Research, Telegraphenberg A 31, 14473 
      Potsdam, Germany.
LA  - eng
PT  - Journal Article
PL  - United States
TA  - Chaos
JT  - Chaos (Woodbury, N.Y.)
JID - 100971574
EDAT- 2015/02/02 06:00
MHDA- 2015/02/02 06:01
CRDT- 2015/02/02 06:00
PHST- 2015/02/02 06:00 [entrez]
PHST- 2015/02/02 06:00 [pubmed]
PHST- 2015/02/02 06:01 [medline]
AID - 10.1063/1.4907175 [doi]
PST - ppublish
SO  - Chaos. 2015 Jan;25(1):013118. doi: 10.1063/1.4907175.