Abstract:
Some algebraical characteristics of the Lyapunov index $p$ of the discrete inclusions are discussed. With $p<0$ the inclusion state space can be embedded in a space of larger dimension where the cubic norm decreases for any solution of the inclusion which is associated with the initial one. A similar result is obtained for $p\geqslant0$. An algorithm is proposed for determining the sign of $p$ which provides a result in a finite number of steps with $p\ne0$.
Fulltext:
PDF file (1033 kB)