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

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

Research output: Contribution to journalArticlepeer-review

Abstract

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.
Original languageEnglish
Article number80
JournalAxioms
Volume10
Issue number2
StatePublished - May 2021

Keywords

  • interval translation maps
  • ergodic measures
  • symbolic model
  • robustness
  • risk management

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