  The method of generating of high-dimensional oscillations on the basis of
summing of low-dimensional chaotic signals of noncoupled dynamical systems is
investigated. It is shown that the correlation dimension of attractor
reconstructed from such oscillations is equal to the sum of dimensions of the
original signals. The possibilities for obtaining of homogeneous
high-dimensional chaotic attractor are numerically demonstrated with the
original signals of R{\"{o}}ssler system.
