Skobeltsyn Institute of Nuclear Physics
Lomonosov Moscow State University

The Henon--Heiles system in the general form has been considered.
In a nonintegrable case with the help of the
Painleve test new solutions have been found as formal Laurent
or Puiseux series, depending on three parameters. One of parameters
determines a location of the singularity point, other parameters determine
coefficients of series. It has been proved, that if absolute values of
these two parameters are less or equal to unit, then obtained series
converge in some ring. For some values of these parameters the
obtained Laurent series coincide with the Laurent series of the known
exact solutions.