Abstract:
A numerical simulation of the fundamental matrix for the Jacobi equation
with random curvature is performed. The results are given for the two
representations of the fundamental matrix. The first one is specified by the
physical interpretation of the solution, whereas the second one is due to the
characteristics of the matrix itself. The specific features of these
representations are discussed. The behavior of the fundamental matrix corresponds
to the main theoretical concepts based on the known theorems concerning the
product of large numbers of unimodular random matrices and sometimes
complements these concepts.
Keywords:fundamental matrix; random coefficients; Jacobi equation.