An Example of Complete but not Global Perron Instabilityстатья
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Дата последнего поиска статьи во внешних источниках: 25 августа 2021 г.
Аннотация:Various Perron stability properties of a two-dimensional differential system are studied. It is proved that, generally speaking, the complete Perron instability does not imply the global Perron instability, which may seem at first glance. It turns out that it is possible to construct a counterexample even with an infinitely differentiable right-hand side and a zero matrix of the first approximation at zero. The system under consideration is nonlinear.