Chaotic dynamics from interspike intervals

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Chaotic dynamics from interspike intervals. / Pavlov, A N; Sosnovtseva, Olga; Mosekilde, Erik; Anishchenko, V S.

In: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 63, No. 3 Pt 2, 01.03.2001, p. 036205.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Pavlov, AN, Sosnovtseva, O, Mosekilde, E & Anishchenko, VS 2001, 'Chaotic dynamics from interspike intervals', Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), vol. 63, no. 3 Pt 2, pp. 036205.

APA

Pavlov, A. N., Sosnovtseva, O., Mosekilde, E., & Anishchenko, V. S. (2001). Chaotic dynamics from interspike intervals. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 63(3 Pt 2), 036205.

Vancouver

Pavlov AN, Sosnovtseva O, Mosekilde E, Anishchenko VS. Chaotic dynamics from interspike intervals. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics). 2001 Mar 1;63(3 Pt 2):036205.

Author

Pavlov, A N ; Sosnovtseva, Olga ; Mosekilde, Erik ; Anishchenko, V S. / Chaotic dynamics from interspike intervals. In: Physical Review E (Statistical, Nonlinear, and Soft Matter Physics). 2001 ; Vol. 63, No. 3 Pt 2. pp. 036205.

Bibtex

@article{57daefe3683e4fb5bda6413ad3651b39,
title = "Chaotic dynamics from interspike intervals",
abstract = "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.",
author = "Pavlov, {A N} and Olga Sosnovtseva and Erik Mosekilde and Anishchenko, {V S}",
year = "2001",
month = mar,
day = "1",
language = "English",
volume = "63",
pages = "036205",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "3 Pt 2",

}

RIS

TY - JOUR

T1 - Chaotic dynamics from interspike intervals

AU - Pavlov, A N

AU - Sosnovtseva, Olga

AU - Mosekilde, Erik

AU - Anishchenko, V S

PY - 2001/3/1

Y1 - 2001/3/1

N2 - 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.

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.

M3 - Journal article

C2 - 11308739

VL - 63

SP - 036205

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 3 Pt 2

ER -

ID: 33813069