Lie symmetry analysis provides a general theoretical framework for investigating ordinary and partial differential equations. The theory is completely algorithmic even if it usually involves lengthy computations. For this reason, along the years many computer algebra packages have been developed to automate computation. In paper, we describe program ReLie, written in Computer Algebra System Red...

Abstract Every continuous-time flow on a topological space has associated to it Koopman operator, which operates by time-shifts various spaces of functions, such as C r , L 2 or functions bounded variation. An eigenfunction the vector field (and thus for operator) can be viewed an S 1 -valued function, also plays role semiconjugacy rigid rotation . This notion eigenfunctions will generalized Li...