Mathematics
Scientific paper
Jul 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...148..133l&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 148, no. 1, July 1985, p. 133-137. Research supported by the Technion Israel I
Mathematics
6
Astronomical Models, Bursts, Chaos, Neutron Stars, Stellar Mass Accretion, X Ray Sources, Branching (Mathematics), Feedback, Luminosity, Period Doubling, Thermonuclear Reactions, Variable Stars
Scientific paper
Properties of the X-ray burst mechanism are investigated, using a simple two zone model. It is shown that the introduction of two feedback mechanisms, which represent the impact of the burst luminosity on the accretion process, results in a very complex temporal behaviour. For accretion rates outside a certain range, steady burning is obtained. Bursts are obtained between two critical values of the accretion rate. For increasing values of the basic accretion rate (in the bursting range), the system is shown to pass from strictly periodic bursts, through a sequence of period doubling bifurcations, to a chaotic bursting behaviour. It is thus demonstrated that the absence of burst regularity, observed in many X-ray bursters, can be a consequence of a relatively simple underlying mechanism and not the result of very intricate phenomena.
Livio Mario
Regev Oded
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