On the behavior of Lyapunov exponents of discrete linear time-varying systems under exponentially decreasing perturbations of its coefficients

摘要

In the paper the influence of the exponential decreasing perturbations of the coefficients on the Lyapunov exponents of discrete linear time-varying system is studied. We present a general - analogical to Perron - example used to different types of dynamical systems. Construction of this example is used to proving the main theorem of this paper. Corollary 1 shows that the type of distribution of Lyapunov exponents of the equation under exponentially decreasing perturbations of its coefficients can be changed with any other.