Guaranteed estimates for the length of branches of periodic orbits for equivariant Hopf bifurcation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00534405" target="_blank" >RIV/67985840:_____/20:00534405 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1142/S0218127420501989" target="_blank" >https://doi.org/10.1142/S0218127420501989</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218127420501989" target="_blank" >10.1142/S0218127420501989</a>

Result language
angličtina
Original language name
Guaranteed estimates for the length of branches of periodic orbits for equivariant Hopf bifurcation
Original language description
Connected branches of periodic orbits originating at a Hopf bifurcation point of a differential system are considered. A computable estimate for the range of amplitudes of periodic orbits contained in the branch is provided under the assumption that the nonlinear terms satisfy a linear estimate in a ball. If the estimate is global, then the branch is unbounded. The results are formulated in an equivariant setting where the system can have multiple branches of periodic orbits characterized by different groups of symmetries. The nonlocal analysis is based on the equivariant degree method, which allows us to handle both generic and degenerate Hopf bifurcations. This is illustrated by examples.
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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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