RT Journal Article T1 Systems of second-order linear ODE’s with constant coefficients and their symmetries. II. The case of non-diagonal coefficient matrices. A1 Campoamor Stursberg, Otto-Rudwig AB We complete the analysis of the symmetry algebra L for systems of n second-order linear ODEs with constant real coefficients, by studying the case of coefficient matrices having a non-diagonal Jordan canonical form. We also classify the Levi factor (maximal semisimple subalgebra) of L, showing that it is completely determined by the Jordan form. A universal formula for the dimension of the symmetry algebra of such systems is given. As application,the case n = 5 is analyzed. PB Elsevier SN 1007-5704 YR 2012 FD 2012 LK https://hdl.handle.net/20.500.14352/43748 UL https://hdl.handle.net/20.500.14352/43748 LA eng DS Docta Complutense RD 14 dic 2025