On the emergence and properties of weird quasiperiodic attractors

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
On the emergence and properties of weird quasiperiodic attractors
Original language description
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.
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
10100 - Mathematics

Project
<a href="/en/project/GA22-28882S" target="_blank" >GA22-28882S: Interaction between Financial Markets and Real Sector: Modeling, Experiments, and Policy</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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