On the emergence and properties of weird quasiperiodic attractors

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F25%3A10258591" target="_blank" >RIV/61989100:27510/25:10258591 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0960077925009294" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0960077925009294</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.chaos.2025.116916" target="_blank" >10.1016/j.chaos.2025.116916</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the emergence and properties of weird quasiperiodic attractors

Popis výsledku v původním jazyce

We recently described a specific type of attractors of two-dimensional discontinuous piecewise linear maps, characterized by two discontinuity lines dividing the phase plane into three partitions, related to economic applications. To our knowledge, this type of attractor, which we call a weird quasiperiodic attractor, has not yet been studied in detail. It has a rather complex geometric structure and other interesting properties that are worth exploring in more depth. To this end, we consider a simpler map that can also possess weird quasiperiodic attractors, namely, a 2D discontinuous piecewise linear map F with a single discontinuity line dividing the phase plane into two partitions, where two different homogeneous linear maps are defined. Map F depends on four parameters - the traces and determinants of the two Jacobian matrices. In the parameter space of map F, we obtain specific regions associated with the existence of weird quasiperiodic attractors; describe some characteristic properties of these attractors; and explain one of the possible mechanisms of their appearance.

Název v anglickém jazyce

On the emergence and properties of weird quasiperiodic attractors

Popis výsledku anglicky

We recently described a specific type of attractors of two-dimensional discontinuous piecewise linear maps, characterized by two discontinuity lines dividing the phase plane into three partitions, related to economic applications. To our knowledge, this type of attractor, which we call a weird quasiperiodic attractor, has not yet been studied in detail. It has a rather complex geometric structure and other interesting properties that are worth exploring in more depth. To this end, we consider a simpler map that can also possess weird quasiperiodic attractors, namely, a 2D discontinuous piecewise linear map F with a single discontinuity line dividing the phase plane into two partitions, where two different homogeneous linear maps are defined. Map F depends on four parameters - the traces and determinants of the two Jacobian matrices. In the parameter space of map F, we obtain specific regions associated with the existence of weird quasiperiodic attractors; describe some characteristic properties of these attractors; and explain one of the possible mechanisms of their appearance.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

<a href="/cs/project/GA22-28882S" target="_blank" >GA22-28882S: Interakce mezi finančními trhy a reálným sektorem: Modelování, experimenty a politika</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2025

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

199

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

13

Strana od-do

116916

Kód UT WoS článku

001544851100004

EID výsledku v databázi Scopus

2-s2.0-105012134798