Border collision bifurcations in a piecewise linear duopoly model
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Border collision bifurcations in a piecewise linear duopoly model
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
50200 - Economics and Business
Result continuities
Project
<a href="/en/project/GA23-06282S" target="_blank" >GA23-06282S: Evolutionary economic dynamics with finite populations: Modeling and applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Difference Equations and Applications
ISSN
1023-6198
e-ISSN
1563-5120
Volume of the periodical
29
Issue of the periodical within the volume
9-12
Country of publishing house
US - UNITED STATES
Number of pages
29
Pages from-to
"1065 "- 1093
UT code for WoS article
000972750200001
EID of the result in the Scopus database
2-s2.0-85153514703