Time depending dynamics of chains of evolution algebras

This thesis is devoted to study the time‐depending dynamics of chains of evolution algebras (CEAs). Such chains are dynamical systems whose states, at each moment, are evolution algebras. The sequences of matrices of the structural constants of the CEAs satisfy the Chapman‐Kolmogorov equation. We co...

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Detalhes bibliográficos
Autor: Murodov, Sherzod
Formato: tesis doctoral
Fecha de publicación:2019
País:España
Recursos:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/19469
Acesso em linha:http://hdl.handle.net/10347/19469
Access Level:acceso abierto
Palavra-chave:Materias::Investigación::12 Matemáticas::1201 Algebra::120112 Algebras no asociativas
Descrição
Resumo:This thesis is devoted to study the time‐depending dynamics of chains of evolution algebras (CEAs). Such chains are dynamical systems whose states, at each moment, are evolution algebras. The sequences of matrices of the structural constants of the CEAs satisfy the Chapman‐Kolmogorov equation. We construct new two‐dimensional real CEAs, study their property transitions and obtain their classification. We also define (linear) Rota‐Baxter operators on evolution algebras. Finally, we construct CEAs of "chicken" population, and study the time‐depending dynamics of such constructed CEAs.

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