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

A. N. Pavlov, O. V. Sosnovtseva, Erik Mosekilde, V. S. Anishchenko

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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 languageEnglish
JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume61
Issue number5
Pages (from-to)5033-5044
ISSN1063-651X
DOIs
Publication statusPublished - 2000

Bibliographical note

Copyright (2000) American Physical Society

Keywords

  • SYSTEMS
  • STOCHASTIC RESONANCE
  • LYAPUNOV EXPONENTS
  • CHAOTIC ATTRACTORS
  • NOISE
  • SPECTRUM
  • RECONSTRUCTION
  • SPIKE TRAINS
  • OBSERVED TIME-SERIES
  • PERIODIC-ORBITS

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