Extracting dynamics from threshold-crossing interspike intervals: possibilities and limitations
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
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Tidsskrift | Physical Review E. Statistical, Nonlinear, and Soft Matter Physics |
Vol/bind | 61 |
Udgave nummer | 5 Pt A |
Sider (fra-til) | 5033-44 |
Antal sider | 12 |
ISSN | 1063-651X |
Status | Udgivet - 1 maj 2000 |
ID: 33813146