Extracting dynamics from threshold-crossing interspike intervals: possibilities and limitations

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Standard

Extracting dynamics from threshold-crossing interspike intervals: possibilities and limitations. / Pavlov, A N; Sosnovtseva, Olga; Mosekilde, Erik; Anishchenko, V S.

I: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, Bind 61, Nr. 5 Pt A, 01.05.2000, s. 5033-44.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Pavlov, AN, Sosnovtseva, O, Mosekilde, E & Anishchenko, VS 2000, 'Extracting dynamics from threshold-crossing interspike intervals: possibilities and limitations', Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, bind 61, nr. 5 Pt A, s. 5033-44.

APA

Pavlov, A. N., Sosnovtseva, O., Mosekilde, E., & Anishchenko, V. S. (2000). Extracting dynamics from threshold-crossing interspike intervals: possibilities and limitations. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 61(5 Pt A), 5033-44.

Vancouver

Pavlov AN, Sosnovtseva O, Mosekilde E, Anishchenko VS. Extracting dynamics from threshold-crossing interspike intervals: possibilities and limitations. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics. 2000 maj 1;61(5 Pt A):5033-44.

Author

Pavlov, A N ; Sosnovtseva, Olga ; Mosekilde, Erik ; Anishchenko, V S. / Extracting dynamics from threshold-crossing interspike intervals: possibilities and limitations. I: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics. 2000 ; Bind 61, Nr. 5 Pt A. s. 5033-44.

Bibtex

@article{ea91eea7ab124b309cf9464af5633d25,
title = "Extracting dynamics from threshold-crossing interspike intervals: possibilities and limitations",
abstract = "In this paper we estimate dynamical characteristics of chaotic attractors from sequences of threshold-crossing interspike intervals, and study how the choice of the threshold level (which sets the equation of a secant plane) influences the results of the numerical computations. Under quite general conditions we show that the largest Lyapunov exponent can be estimated from a series of return times to the secant plane, even in the case when some of the loops of the phase space trajectory fail to cross this plane.",
keywords = "Algorithms, Models, Biological, Models, Theoretical, Nonlinear Dynamics",
author = "Pavlov, {A N} and Olga Sosnovtseva and Erik Mosekilde and Anishchenko, {V S}",
year = "2000",
month = may,
day = "1",
language = "English",
volume = "61",
pages = "5033--44",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "5 Pt A",

}

RIS

TY - JOUR

T1 - Extracting dynamics from threshold-crossing interspike intervals: possibilities and limitations

AU - Pavlov, A N

AU - Sosnovtseva, Olga

AU - Mosekilde, Erik

AU - Anishchenko, V S

PY - 2000/5/1

Y1 - 2000/5/1

N2 - In this paper we estimate dynamical characteristics of chaotic attractors from sequences of threshold-crossing interspike intervals, and study how the choice of the threshold level (which sets the equation of a secant plane) influences the results of the numerical computations. Under quite general conditions we show that the largest Lyapunov exponent can be estimated from a series of return times to the secant plane, even in the case when some of the loops of the phase space trajectory fail to cross this plane.

AB - In this paper we estimate dynamical characteristics of chaotic attractors from sequences of threshold-crossing interspike intervals, and study how the choice of the threshold level (which sets the equation of a secant plane) influences the results of the numerical computations. Under quite general conditions we show that the largest Lyapunov exponent can be estimated from a series of return times to the secant plane, even in the case when some of the loops of the phase space trajectory fail to cross this plane.

KW - Algorithms

KW - Models, Biological

KW - Models, Theoretical

KW - Nonlinear Dynamics

M3 - Journal article

C2 - 11031546

VL - 61

SP - 5033

EP - 5044

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 5 Pt A

ER -

ID: 33813146