Vg. Gurzadyan et al., ON THE PROPERTIES OF KONISHI-KANEKO MAP, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 112(2-3), 1997, pp. 309-311
The existence of period-doubling bifurcations is shown for the Konishi
-Kaneko map. The value of the control parameter k(infinity) correspond
ing to the transition to the chaotic phase is estimated, along with th
e Feigenbaum universal number. This type of facts can be crucial in th
e diagnosis of chaos in stellar dynamics.