Period-Doubling Bifurcation of Cycles in Retarded Functional Differential Equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00135148" target="_blank" >RIV/00216224:14310/24:00135148 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10884-023-10249-3" target="_blank" >https://doi.org/10.1007/s10884-023-10249-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10884-023-10249-3" target="_blank" >10.1007/s10884-023-10249-3</a>

Result language
angličtina
Original language name
Period-Doubling Bifurcation of Cycles in Retarded Functional Differential Equations
Original language description
A rigorous description of a period-doubling bifurcation of limit cycles in retarded functional differential equations based on tools of functional analysis and singularity theory is presented. Particularly, sufficient conditions for its occurrence and its normal form coefficients are expressed in terms of derivatives of the operator defining given equations. We also prove the exchange of stability in the case of a non-degenerate period-doubling bifurcation. The approach concerns Fredholm operators, Lyapunov-Schmidt reduction and recognition problem for pitchfork bifurcation.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/EF19_073%2F0016943" target="_blank" >EF19_073/0016943: Internal grant agency of Masaryk University</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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