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

Autor:	Kryzhevich, Sergey, Avrutin, Viktor, Begun, Nikita, Rachinskii, Dmitrii, Tajbakhsh, Khosro
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.11825 Zobrazit plný text záznamu View this record from Arxiv