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 |
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Journal | Physical Review E. Statistical, Nonlinear, and Soft Matter Physics |
Volume | 61 |
Issue number | 5 |
Pages (from-to) | 5033-5044 |
ISSN | 1063-651X |
DOIs | |
Publication status | Published - 2000 |
Bibliographical note
Copyright (2000) American Physical SocietyKeywords
- SYSTEMS
- STOCHASTIC RESONANCE
- LYAPUNOV EXPONENTS
- CHAOTIC ATTRACTORS
- NOISE
- SPECTRUM
- RECONSTRUCTION
- SPIKE TRAINS
- OBSERVED TIME-SERIES
- PERIODIC-ORBITS