  It is well known that some liquids can demonstrate anomalous behavior.
Interestingly, this be- havior can be qualitatively reproduced with simple
core-softened isotropic pair-potential systems. Although anomalous properties
of liquids usually take place at low and moderate temperatures it was recently
recognized that many important phenomena can appear in supercritical fuids.
However, no studies of supercritical behavior of core-softened fuids is
reported. This paper reports a study of dynamical crossover in supercritical
core-softened systems. The crossover line is calculated from three different
criteria and good agreement between them is observed. It is found that the
behavior of the dynamical crossover line of core-softened systems is quite
complex due to its quasi-binary nature.
