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Дата последнего поиска статьи во внешних источниках: 29 мая 2015 г.
Аннотация:Abstract—There are different non-equivalent definitions of attractors in the theory of dynamical
systems. The most common are two definitions: the maximal attractor and the Milnor
attractor. The maximal attractor is by definition Lyapunov stable, but it is often in some
ways excessive. The definition of Milnor attractor is more realistic from the physical point of
view. The Milnor attractor can be Lyapunov unstable though. One of the central problems
in the theory of dynamical systems is the question of how typical such a phenomenon is. This
article is motivated by this question and contains new examples of so-called relatively unstable
Milnor attractors. Whether the attractors in these examples are really stable or not is an open
problem.