Remarks on second-order quadratic systems in algebras
Date
2017-10-06
Authors
Sagle, Art
Schmitt, Klaus
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This 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.
Description
Keywords
Quadratic systems, Ordinary differential equations, Algebras, Derivations, Periodic motions
Citation
Sagle, A., & Schmitt, K. (2017). Remarks on second-order quadratic systems in algebras. <i>Electronic Journal of Differential Equations, 2017</i>(248), pp. 1-9.
Rights
Attribution 4.0 International