Decomposition of models of special classes of complex dynamical systems (Q1762278)

The paper presents necessary and sufficient conditions for integral separation and coarse diagonalizability of various classes of linear non-autonomous systems of ODEs, namely those with constant, periodic, quasi-periodic, almost periodic or reducible coefficients. Special attention is paid to the case of two-dimensional such systems, where weaker geometrical criteria are considered. Finally, a coarse decomposability criterion is presented for linear stationary and reducible systems.