کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
767162 | 897156 | 2012 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Systems of second-order linear ODE’s with constant coefficients and their symmetries II. The case of non-diagonal coefficient matrices Systems of second-order linear ODE’s with constant coefficients and their symmetries II. The case of non-diagonal coefficient matrices](/preview/png/767162.png)
We complete the analysis of the symmetry algebra LL 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 LL, 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.
► Symmetries of systems of second order linear ODE’s with constants coefficients.
► Analysis of possible dimensions.
► Symmetry algebras for non-diagonal systems.
► Dimension formula for arbitrary n and coefficient matrices.
► Structure of Levi factors of symmetry algebras.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 3, March 2012, Pages 1178–1193