On Chaotic Sets of Solutions for a Class of Differential Inclusions in R2

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F25%3AA0000191" target="_blank" >RIV/47813059:19610/25:A0000191 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s11228-025-00769-z" target="_blank" >https://link.springer.com/article/10.1007/s11228-025-00769-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11228-025-00769-z" target="_blank" >10.1007/s11228-025-00769-z</a>

Result language
angličtina
Original language name
On Chaotic Sets of Solutions for a Class of Differential Inclusions in R2
Original language description
We investigate a continuous multi-valued dynamical system in R2 of the form x˙∈F(x), where F(x) is a set-valued function and F={f1,f2}. Such dynamical systems have applications in various fields, such as mathematical economics. We accurately establish the sufficient conditions for a set of solutions to such a system to exhibit Devaney chaos, ω-chaos, and infinite topological entropy. Finally, we illustrate these issues with our macroeconomic model, and we highlight the broader applicability of the proposed framework to systems with regime switching.
Czech name
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Czech description
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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
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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