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We consider numerically dynamics of a flat anisotropic Universe inEinstein-Gauss-Bonnet gravity with positive $\Lambda$ in dimensionalities 5+1and 6+1. We identify three possible outcomes of the evolution, one singular andtwo nonsingular. First nonsingular outcome is oscillatory. Second is the knownexponential solution. The simplest version of it is the isotropic de Sittersolution. In Gauss-Bonnet cosmology there exist also anisotropic exponentialsolutions. When an exponential solution being an outcome of cosmologicalevolution has two different Hubble parameters, the evolution leads frominitially totally anisotropic stage to a sum of two isotropic subspaces. Weshow that such type of evolution is rather typical and possible even in thecase when de Sitter solution also exists.

Splitting into two isotropic subspaces as a result of cosmological evolution in Einstein-Gauss-Bonnet gravity