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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2022

Confidentiality

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

Name of the periodical

CHAOS SOLITONS &amp; FRACTALS

ISSN

0960-0779

e-ISSN

1873-2887

Volume of the periodical

156

Issue of the periodical within the volume

MAR

Country of publishing house

GB - UNITED KINGDOM

Number of pages

11

Pages from-to

"111800-1"-"111800-11"

UT code for WoS article

000783081700004

EID of the result in the Scopus database

2-s2.0-85122707699