Phys. Rev. E 58, R4–R7 (1998)

Reconstruction of dynamical and geometrical properties of chaotic attractors from threshold-crossing interspike intervals

Abstract

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Natalia B. Janson, Alexey N. Pavlov, Alexander B. Neiman, and Vadim S. Anishchenko
Nonlinear Dynamics Laboratory, Department of Physics, Saratov State University, Astrakhanskaya St. 83, 410026, Saratov, Russia

Received 31 March 1998; published in the issue dated July 1998

We reconstruct the largest Lyapunov exponent and fractal dimension of a chaotic attractor using threshold-crossing interspike intervals alone. We show that in certain cases one may reconstruct from this data a set looking very similar to the initial attractor. We also give an explanation of this possibility based on the concept of instantaneous frequency.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.58.R4

DOI:

10.1103/PhysRevE.58.R4

PACS:

05.45.+b

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Phys. Rev. E 58, R4–R7 (1998)

Reconstruction of dynamical and geometrical properties of chaotic attractors from threshold-crossing interspike intervals