All data available in B band for the BL Lac object MRK421 from 22
publications are used to construct a historical light curve, dating back to
1900. It is found that the light curve is very complicated and consists of a
set of outbursts with very large duration. The brightness of MRK421 varies from
11.6 magnitude to more than 16 magnitude. Analyses with Jurkevich method of
computing period of cyclic phenomena reveal in the light curve two kinds of
behaviors. The first one is non-periodic with rapid, violent variations in
intensity on time scales of hours to days. The second one is periodic with a
possible period of 23.1±1.1 years. Another possible period of 15.3±0.7 years is not very significant. We have tested the robustness of the
Jurkevich method. The period of about one year found in the light curves of
MRK421 and of other objects is a spurious period due to the method and the
observing window. We try to explain the period of 23.1±1.1 years under the
thermal instability of a slim accretion disk around a massive black hole of
mass of 2∗106M⊙​.Comment: Tex, 14 pages, 5 Postscript figures. Accepted for publication in A&A
Supplement Serie