dc.contributor.author
Caracciolo, C.
dc.contributor.author
Figueras, J. L.
dc.contributor.author
Haro, A.
dc.date.accessioned
2025-06-19T11:23:32Z
dc.date.available
2025-06-19T11:23:32Z
dc.date.issued
2025-01-10
dc.identifier.uri
http://hdl.handle.net/2072/484463
dc.description.abstract
We present an algorithm for the construction of lower dimensional elliptic tori in parametric Hamiltonian systems by means of the parametrization method with the tangent and normal frequencies being prescribed. This requires that the Hamiltonian system has as many parameters as the dimension of the normal dynamics, and the algorithm must adjust these parameters. We illustrate the methodology with an implementation of the algorithm computing 2-dimensional elliptic tori in a system of 4 coupled anharmonic oscillators (4 degrees of freedom).
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dc.description.sponsorship
C C acknowledges the partial support from the scholarship \u2018Esseen, L. and C-G., for mathematical studies\u2019. J-L F has been partially supported by the Swedish VR Grant 2019-04591, and A H has been supported by the Spanish grant PID2021-125535NB-I00 (MCIU/AEI/FEDER, UE), and by the Spanish State Research Agency, through the Severo Ochoa and Mar\u00EDa de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M). Some computations were enabled by resources in project NAISS 2023/5-192 provided by the National Academic Infrastructure for Supercomputing in Sweden (NAISS) at UPPMAX, funded by the Swedish Research Council through Grant Agreement No. 2022-06725.
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dc.format.extent
26 p.
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dc.publisher
Institute of Physics
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dc.relation.ispartof
Nonlinearity
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dc.rights
Attribution 4.0 International
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
KAM theory
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dc.subject.other
Lower dimensional invariant tori
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dc.subject.other
Parametrization method
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dc.title
A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.identifier.doi
10.1088/1361-6544/ada47b
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
