Classification of a family of three dimensional real evolution algebras

Abstract

In this paper we classify a family of three-dimensional real evolution algebras. We also consider an evolution operator for an evolution algebra and find fixed points of this operator for two and three-dimensional cases. Then we construct an evolution algebra, the matrix of structural constants of which is Jacobian of the evolution operator at a fixed point. We study isomorphism between these evolution algebras.

14 pages. arXiv admin note: text overlap with arXiv:1701.07219 by other authors

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