Pulse Processes in Networks and Evolution Algebras
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Pulse processWeighted digraphEvolution algebraStability
Becerra, J., Beltrán, M., & Velasco, M. (2020). Pulse Processes in Networks and Evolution Algebras. Mathematics, 8(3), 387.
SponsorshipThis work was partially supported by the Spanish Project MTM2016-76327-C3-2-P (AEInFEDER, UE).
In this paper, we merge two theories: that of pulse processes on weighted digraphs and that of evolution algebras. We enrich both of them. In fact, we obtain new results in the theory of pulse processes thanks to the new algebraic tool that we introduce in its framework, also extending the theory of evolution algebras, as well as its applications.