Border collision bifurcations in a piecewise linear duopoly model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F23%3A10253596" target="_blank" >RIV/61989100:27510/23:10253596 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.tandfonline.com/doi/full/10.1080/10236198.2023.2203276" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/10236198.2023.2203276</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/10236198.2023.2203276" target="_blank" >10.1080/10236198.2023.2203276</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Border collision bifurcations in a piecewise linear duopoly model

Popis výsledku v původním jazyce

We consider a duopoly model characterized by a two-dimensional non-invertible continuous map T given by piecewise linear functions, with several partitions, defining a duopoly game. The structure of the game is such that it has separate second iterate so that its dynamics can be studied via a one-dimensional composite function, that is piecewise linear with multiple partitions in which the definition of the map changes. The number of partitions may change from 2 to 5, depending on the parameters. The dynamics are characterized by degenerate bifurcations and border collision bifurcations, which are typical in maps having kink points. Here the peculiarity is the multiplicity of the partitions, which leads to bifurcations different from those occurring in maps with only one kink point. We show several bifurcations, coexistence of cycles, attracting and superstable, as well chaotic attractors and chaotic repellors, related to the outcome of particular border collision bifurcations.

Název v anglickém jazyce

Border collision bifurcations in a piecewise linear duopoly model

Popis výsledku anglicky

We consider a duopoly model characterized by a two-dimensional non-invertible continuous map T given by piecewise linear functions, with several partitions, defining a duopoly game. The structure of the game is such that it has separate second iterate so that its dynamics can be studied via a one-dimensional composite function, that is piecewise linear with multiple partitions in which the definition of the map changes. The number of partitions may change from 2 to 5, depending on the parameters. The dynamics are characterized by degenerate bifurcations and border collision bifurcations, which are typical in maps having kink points. Here the peculiarity is the multiplicity of the partitions, which leads to bifurcations different from those occurring in maps with only one kink point. We show several bifurcations, coexistence of cycles, attracting and superstable, as well chaotic attractors and chaotic repellors, related to the outcome of particular border collision bifurcations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

50200 - Economics and Business

Projekt

<a href="/cs/project/GA23-06282S" target="_blank" >GA23-06282S: Evoluční ekonomická dynamika s konečnou populací: Modelování a aplikace</a><br>

Návaznosti

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

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Journal of Difference Equations and Applications

ISSN

1023-6198

e-ISSN

1563-5120

Svazek periodika

29

Číslo periodika v rámci svazku

9-12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

29

Strana od-do

"1065 "- 1093

Kód UT WoS článku

000972750200001

EID výsledku v databázi Scopus

2-s2.0-85153514703