RT Dissertation/Thesis
T1 Time depending dynamics of chains of evolution algebras
A1 Murodov, Sherzod
K1 Evolution algebra
K1 Time
K1 Chapman‐Kolmogorov equation
K1 Rota‐Baxter operator
AB 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 evolutionalgebras. The sequences of matrices of the structural constants of the CEAs satisfy theChapman‐Kolmogorov equation.We construct new two‐dimensional real CEAs, study their property transitions and obtain theirclassification. We also define (linear) Rota‐Baxter operators on evolution algebras. Finally, weconstruct CEAs of "chicken" population, and study the time‐depending dynamics of suchconstructed CEAs.
YR 2019
FD 2019
LK http://hdl.handle.net/10347/19469
UL http://hdl.handle.net/10347/19469
LA eng
DS Minerva
RD 26 abr 2026