On an Eigenflow Equation and its Lie Algebraic Generalization

Abstract

Abstract. This paper deals with a dynamical system of the formȦ = [[N,, where A is an n × n real matrix, N is a constant n × n real matrix, ν is a positive constant and [A, B] = AB − BA. In particular, the purpose of this paper is to establish a sorting behavior of the dynamical system and to represent it in a general Lie algebraic setting. Moreover, some applications of the dynamical system are presented.