Mathematics – Dynamical Systems
Scientific paper
Apr 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990pasj...42..269u&link_type=abstract
Astronomical Society of Japan, Publications (ISSN 0004-6264), vol. 42, no. 2, 1990, p. 269-278. Research supported by MOESC and
Mathematics
Dynamical Systems
7
Chaos, Dynamical Systems, Strange Attractors, X Ray Stars, Liapunov Functions, Random Noise, Spaceborne Astronomy, Stochastic Processes
Scientific paper
X-ray data of Cyg X-1 observed by the Tenma satellite were analyzed to determine whether Cyg X-1 is a chaotic dynamical system of low dimension. Since Poisson noise disturbs the determination of the attractor dimension of the system, comparative studies were carried out for the Cyg X-1 data relative to artificial data of purely stochastic Poisson noise and to a Lorenz attractor plus noise. The relation between the attractor dimension and the phase-space dimension for the Cyg X-1 data begins to deviate from that of noise data from a phase-space dimension of about 7, showing the presence of an attractor with a dimension of about 7 or less. Although three positive Liapunov exponents were calculated, they are too small to prove with certainty that the Cyg X-1 attractor should be a strange attractor.
Inoue Hajime
Kondo Masa-Aki
Masaki Isao
Unno Wasaburo
Urata Kenji
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