Výsledky vyhledávání - "Villanueva Castelltort, Jordi"

A KAM theorem without action-angle variables for elliptic lower dimensional tori

Autor: Luque Jiménez, Alejandro, Villanueva Castelltort, Jordi

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

We study elliptic lower dimensional invariant tori of Hamiltonian systems via parameterizations. The method is based in solving iteratively the functional equations that stand for invariance and reducibility. In contrast with classical methods, we do

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::8890464717ff2ad5ab7b472fa1fa7006
https://hdl.handle.net/2117/7067

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Numerical study of rotation numbers and its variationals for parametric families of circle diffeomorphisms

Autor: Luque Jiménez, Alejandro, Villanueva Castelltort, Jordi

Publikováno v: idUS. Depósito de Investigación de la Universidad de Sevilla
instname

We present a numerical method to compute derivatives of the rotation number for parametric families of circle diffeomorphisms with high accuracy. Our methodology is an extension of an existing approach to compute rotation numbers, that it is based on

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::0689e7826c0c643bd0f2cc735994b8e5
https://idus.us.es/xmlui/handle/11441/35114

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KAM aspects of the quasi-periodic Hamiltonian Hopf bifurcation: summary of results

Autor: Ollé Torner, Mercè, Pacha Andújar, Juan Ramón, Villanueva Castelltort, Jordi

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

In this work we consider a 1:-1 non semi-simple resonant periodic orbit of a three-degrees of freedom real analytic Hamiltonian system. From the formal analysis of the normal form, it is proved the branching off a two-parameter family of two-dimensio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::62b26de36a7e89794836add1b03b6625
https://hdl.handle.net/2117/1956

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Kolmogorov Theorem Revisited

Autor: Villanueva Castelltort, Jordi|||0000-0001-8725-2785

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Kolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems is revisited. In this paper we are mainly concerned with the lower bound on the constant of the Diophantine condition required by the theorem. From the exist

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::a2f1f2cd7bad0407dcd0fcac49fac04d
https://hdl.handle.net/2117/2820

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Dynamics close to a non semi-simple 1: -1 resonant periodic orbit

Autor: Ollé Torner, Mercè|||0000-0002-8050-9055, Pacha Andújar, Juan Ramón|||0000-0003-4599-3141, Villanueva Castelltort, Jordi|||0000-0001-8725-2785

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In this work, our target is to analyze the dynamics around the $1:-1$ resonance which appears when a family of periodic orbits of a real analytic three-degree of freedom Hamiltonian system changes its stability from elliptic to a complex hyperbolic s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::142399924a1bfadee99572564d845260
https://hdl.handle.net/2117/840

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Quasi-periodic response solutions at normal-internal resonances

Autor: Broer, H. W., Hanssmann, Heinz, Jorba, Angel, Villanueva Castelltort, Jordi, Wagener, Florian

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

In the conservative dynamics of certain quasi-periodically forced oscillators, normal-internal resonances are considered in a bifurcational setting. The unforced system is a one degree of freedom oscillator, under forcing the system becomes a skew-pr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::4dc33867ec0766cf4a9a0a390f78959b
https://hdl.handle.net/2117/889

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KAM Theory without action--angle variables

Autor: González, Alejandra, Jorba, Angel, Llave Canosa, Rafael de la, Villanueva Castelltort, Jordi

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

Given a torus approximately invariant under a symplectic map, we find sufficient conditions for the existence of a true invariant torus close to the given one. We do not assume either that we are working on action-angle variables nor that the map is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::706a169a880018756bd5dacbff7fcce3
https://hdl.handle.net/2117/853

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On the quantitative estimates of the remainder in normal forms

Autor: Ollé Torner, Mercè, Pacha Andújar, Juan Ramón, Villanueva Castelltort, Jordi

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

We consider an analytic Hamiltonian system with three degrees of freedom and having a family of periodic orbits with a transition stability complex instability. We reduce the Hamiltonian to a normal form around a transition periodic orbit and we obta

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::611084e32c6b7780296c4b14105223bb
https://hdl.handle.net/2117/1219

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