Dynamics of Systems with a Discontinuous Hysteresis Operator and Interval Translation Maps

Sergey Kryzhevich, Viktor Avrutin , Nikita Begun, Dmitrii Rachinskii , Khosro Tajbakhsh

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

Аннотация

We studied topological and metric properties of the so-called interval translation maps (ITMs). For these maps, we introduced the maximal invariant measure and study its properties. Further, we study how the invariant measures depend on the parameters of the system. These results were illustrated by a simple example or a risk management model where interval translation maps appear naturally.
Язык оригиналаанглийский
Номер статьи80
ЖурналAxioms
Том10
Номер выпуска2
СостояниеОпубликовано - мая 2021

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