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CLASSIFICATION DYNAMICS OF TWO-DIMENSIONAL CHAINS OF EVOLUTION ALGEBRAS

SH. N. MURODOV

National University of Uzbekistan, Institute of Mathematics, Tashkent, Uzbekistan

https://doi.org/10.1142/S0129167X14500128Cited by:9 (Source: Crossref)

Abstract

Recently by Casas et al. a notion of chain of evolution algebras (CEAs) is introduced. This chain is a dynamical system the state of which at each given time is an evolution algebra. It is known 25 distinct classes of chains of two-dimensional evolution algebras. In our previous paper we gave the classification of two-dimensional real evolution algebras. This classification contains seven (pairwise non-isomorphic) such algebras. For each known CEA we study its dynamics to be an element of a given class.

Keywords:

AMSC: 17D92, 37C99, 60J25

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