Topological entropy of composition and impulsive differential equations satisfying a uniqueness condition

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F22%3A73612504" target="_blank" >RIV/61989592:15310/22:73612504 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S096007792200011X" target="_blank" >https://www.sciencedirect.com/science/article/pii/S096007792200011X</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.chaos.2022.111800" target="_blank" >10.1016/j.chaos.2022.111800</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Topological entropy of composition and impulsive differential equations satisfying a uniqueness condition

Popis výsledku v původním jazyce

The impulsive differential equations are examined via the associated Poincaré translation operators in terms of topological entropy. The crucial role is played by the entropy analysis of the compositions of Poincaré’s operators with the impulsive maps. For the scalar (one-dimensional) problems, the lower entropy estimations can be effectively obtained by means of horseshoes. For the vector (higher-dimensional) problems, the situation becomes more delicate and requires rather sophisticated techniques. Five main theorems are presented about a positive topological entropy (i.e. topological chaos) for given impulsive problems. For vector linear homogeneous differential equations with constant coefficients and isometric impulses, the zero entropy is deduced under commutativity restrictions imposed on the components of a mentioned composition. Several illustrative examples and numerical simulations are supplied.

Název v anglickém jazyce

Topological entropy of composition and impulsive differential equations satisfying a uniqueness condition

Popis výsledku anglicky

The impulsive differential equations are examined via the associated Poincaré translation operators in terms of topological entropy. The crucial role is played by the entropy analysis of the compositions of Poincaré’s operators with the impulsive maps. For the scalar (one-dimensional) problems, the lower entropy estimations can be effectively obtained by means of horseshoes. For the vector (higher-dimensional) problems, the situation becomes more delicate and requires rather sophisticated techniques. Five main theorems are presented about a positive topological entropy (i.e. topological chaos) for given impulsive problems. For vector linear homogeneous differential equations with constant coefficients and isometric impulses, the zero entropy is deduced under commutativity restrictions imposed on the components of a mentioned composition. Several illustrative examples and numerical simulations are supplied.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

CHAOS SOLITONS &amp; FRACTALS

ISSN

0960-0779

e-ISSN

1873-2887

Svazek periodika

156

Číslo periodika v rámci svazku

MAR

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

11

Strana od-do

"111800-1"-"111800-11"

Kód UT WoS článku

000783081700004

EID výsledku v databázi Scopus

2-s2.0-85122707699