Coupling linearity and twist: an extension of the Poincaré-Birkhoff theorem for Hamiltonian systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F20%3A00534213" target="_blank" >RIV/67985556:_____/20:00534213 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00030-020-00653-9" target="_blank" >https://link.springer.com/article/10.1007/s00030-020-00653-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00030-020-00653-9" target="_blank" >10.1007/s00030-020-00653-9</a>

Result language
angličtina
Original language name
Coupling linearity and twist: an extension of the Poincaré-Birkhoff theorem for Hamiltonian systems
Original language description
We provide an extension of the Poincaré–Birkhoff Theorem for systems coupling linear components with twisting components. Applications are given both to weakly coupled Hamiltonian systems where, e.g., a superlinear or sublinear behaviour is assumed in the nonlinear part of the coupling in order to recover the needed twist conditions, and to local perturbations of superintegrable systems, showing the survival of a number of periodic solutions from a lower-dimensional torus.
Czech name
—
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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