Sensitivity of an Induced System on a Segment


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Resumo

We consider dynamical systems (C (I), f) in which the function f maps a segment I into itself and is naturally extended to closed connected subsets of this segment. For the indicated systems, we study their sensitivity to initial conditions. In particular, it is shown that the system (C (I), f) always possesses a Lyapunov-stable point.

Sobre autores

O. Rybak

Institute of Mathematics, Ukrainian National Academy of Sciences

Email: Jade.Santos@springer.com
Ucrânia, Tereshchenkivs’ka Str. 3, Kyiv, 01601

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