A chaotic attractor in timing noise from the VELA pulsar?

Details A chaotic attractor in timing noise from the VELA pulsar? A chaotic attractor in timing noise from the VELA pulsar?

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...353..588h&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 353, April 20, 1990, p. 588-596. Research supported by the National Astrono

Astronomy and Astrophysics

Astronomy

12

Celestial Mechanics, Chaos, Pulsars, Strange Attractors, Astronomical Models, Pulsar Magnetospheres, Random Processes

Scientific paper

Fourteen years of timing residual data from the Vela pulsar have been analyzed in order to determine if a chaotic dynamical process is the origin of timing noise. Using the correlation sum technique, a dimension of about 1.5 is obtained. This low dimension indicates underlying structure in the phase residuals which may be evidence for a chaotic attractor. It is therefore possible that nonlinear dynamics intrinsic to the spin-down may be the cause of the timing noise in the Vela pulsar. However, it has been found that the stimulated random walks in frequency and frequency derivative often used to model pulsar timing noise also have low fractal dimension, using the same analysis technique. Recent work suggesting that random processes with steep power spectra can mimic strange attractors seems to be confirmed in the case of these random walks. It appears that the correlation sum estimator for dimension is unable to distinguish between chaotic and random processes.

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