Example of a Differential System with Complete Perron and Upper-Limit Instability but Massive Partial Stabilityстатья
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Дата последнего поиска статьи во внешних источниках: 18 мая 2022 г.
Аннотация:It is constructively proved that the complete Perron and upper-limit instability (in contrast to the Lyapunov instability) of a two-dimensional differential system, generally speaking, does not imply its global instability. Moreover, the example of a completely unstable smooth nonlinear system constructed in this paper, in addition, has zero first approximation (along the zero solution) and not just partial but even massive partial stability.