Документ взят из кэша поисковой машины. Адрес оригинального документа : http://chaos.phys.msu.ru/prokhorov/diplom/abstract.ps Дата изменения: Fri Oct 4 00:00:00 2002 Дата индексирования: Mon Oct 1 19:54:33 2012 Кодировка:

Parametric perturbations and stabilisation
of chaotic behaviour of dynamical systems
A.Loskutov, A.K.Prokhorov
Summary
Dynamical systems with external periodic perturbations are considered in a general
form. An approach according to which such systems can be reduced to autonomous
ones and simplied, is rigorously justied. The behaviour of quadratic and exponential
family maps at parametric perturbations is studied. It is proven that there exist periodic
perturbations operating strictly in the chaotic subset which lead to the dynamics stabilisation
and appearance of stable cycles in the initially chaotic maps. Analytic results are added
by numerical simulations. It is shown that chaos can be suppressed by a quite complex
perturbation. A comparison between results which are obtained at several perturbations,
is performed.
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