Period-Doubling Bifurcation of Cycles in Retarded Functional Differential Equations

Kód výsledku v 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>
Výsledek na webu
<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>

Jazyk výsledku
angličtina
Název v původním jazyce
Period-Doubling Bifurcation of Cycles in Retarded Functional Differential Equations
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Period-Doubling Bifurcation of Cycles in Retarded Functional Differential Equations
Popis výsledku anglicky
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.

Projekt
<a href="/cs/project/EF19_073%2F0016943" target="_blank" >EF19_073/0016943: Interní grantová agentura Masarykovy univerzity</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění
2024
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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