Sagle, ArtSchmitt, Klaus2022-08-082022-08-082017-10-06Sagle, A., & Schmitt, K. (2017). Remarks on second-order quadratic systems in algebras. <i>Electronic Journal of Differential Equations, 2017</i>(248), pp. 1-9.1072-6691https://hdl.handle.net/10877/16042This paper is an addendum to our earlier paper [8], where a systematic study of quadratic systems of second order ordinary differential equations defined in commutative algebras was presented. Here we concentrate on special solutions and energy considerations of some quadratic systems defined in algebras which need not be commutative, however, we shall throughout assume the algebra to be associative. We here also give a positive answer to an open question, concerning periodic motions of such systems, posed in our earlier paper.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalQuadratic systemsOrdinary differential equationsAlgebrasDerivationsPeriodic motionsArticle