Chaotic dynamics from interspike intervals

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

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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 paint 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.
Original languageEnglish
JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume63
Issue number3
Pages (from-to)036205
ISSN1063-651X
DOIs
Publication statusPublished - 2001

Bibliographical note

Copyright (2001) American Physical Society

Keywords

  • INFORMATION
  • STOCHASTIC RESONANCE
  • NEURAL SPIKE TRAINS
  • SEQUENCES
  • TIME-SERIES
  • RECONSTRUCTION
  • ATTRACTORS
  • PHASE SYNCHRONIZATION
  • NEURONS

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