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Classification of $$GL(2,\mathbb{R})$$-orbit’s dimensions for the differential system with cubic nonlinearities. (English) Zbl 1176.34044
Summary: Center affine invariant conditions for $$GL(2,\mathbb R)$$-orbit’s dimensions are defined for two-dimensional autonomous system of differential polynomial equations with cubic nonlinearities.
##### MSC:
 34C14 Symmetries, invariants of ordinary differential equations