Search

For every positive integer and every metric space we consider the class of all parametric families , where , , , of linear differential systems whose coefficients are piecewise continuous and, generally speaking, unbounded on the time semi-axis for every fixed value of the parameter such that if a sequence converges to in the space of parameters, then the sequence converges uniformly on the semi-axis to the matrix . For the families in , we obtain a complete description of individual Lyapunov exponents and their spectra as functions of the parameter.

It is shown that no relations exist (apart from inherent ones) between Baire classes of Lyapunov transformation invariants in the compact- open and uniform topologies on the space of linear differential systems.

ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 100 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.