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math.DS2015
Stability by linear approximation for time scale dynamical systems
Sergey Kryzhevich, Alexander Nazarov
We study systems on time scales that are generalizations of classical differential or difference equations. In this paper we consider linear systems and their small nonlinear pertu…
math.DS2015
Multishadowing in topological dynamics
Danila Cherkashin, Sergey Kryzhevich
An approach to find a weak form of shadowing is developed. We consider homeomorphisms of a compact metric space. It is proved that every pseudotrajectory with sufficiently small er…