Forskning ved Københavns Universitet - Københavns Universitet

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

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

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.
OriginalsprogEngelsk
TidsskriftPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
Vol/bind61
Udgave nummer5 Pt A
Sider (fra-til)5033-44
Antal sider12
ISSN1063-651X
StatusUdgivet - 1 maj 2000

ID: 33813146