Shadowing Property in Systems with Singularities

Student: Zhevnerchuk Anton

Educational Programme: Mathematics and Mathematical Physics (Master)

Year of Graduation: 2019

We study one of the possible ways of generalizing shadowing property to the case when applied maps may be different at different time moments. We introduce shadowing for sequences of maps. We discuss connections between our definition and shadowing for groups. We present sufficient conditions for sequence of linear one-dimensional maps to have shadowing property. We also construct an example showing that presented conditions cannot be much weaker.

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