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

A N Pavlov; Olga Sosnovtseva; Erik Mosekilde; V S Anishchenko

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

A N Pavlov, Olga Sosnovtseva, Erik Mosekilde, V S Anishchenko

Renal and Vascular Research

22 Citations (Scopus)

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.

Original language	English
Journal	Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume	61
Issue number	5 Pt A
Pages (from-to)	5033-44
Number of pages	12
ISSN	1063-651X
Publication status	Published - 1 May 2000

Keywords

Algorithms
Models, Biological
Models, Theoretical
Nonlinear Dynamics

Cite this

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AU - Mosekilde, Erik

AU - Anishchenko, V S

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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

SN - 2470-0045

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SP - 5033

EP - 5044

JO - Physical Review E

JF - Physical Review E

IS - 5 Pt A

ER -

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

Abstract

Keywords

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