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Quasi-periodic frequency analysis using averaging-extrapolation methods

Autor
Luque, A.; Villanueva, J.
Tipus d'activitat
Article en revista
Revista
SIAM journal on applied dynamical systems
Data de publicació
2014-01-01
Volum
13
Número
1
Pàgina inicial
1
Pàgina final
46
DOI
https://doi.org/10.1137/130920113 Obrir en finestra nova
Projecte finançador
DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES, ASTRODINÁMICA, NEUROCIENCIA Y OTRAS APLICACIONES
DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES. APLICACIONES A
URL
http://epubs.siam.org/doi/abs/10.1137/130920113 Obrir en finestra nova
Resum
We present a new approach to the numerical computation of the basic frequencies of a quasi-periodic signal. Although a complete toolkit for frequency analysis is presented, our methodology is better understood as a refinement process for any of the frequencies, provided we have a rough approximation of the frequency that we wish to compute. The cornerstone of this work is a recently developed method for the computation of Diophantine rotation numbers of circle diffeomorphisms, based on suitable ...
Paraules clau
ACTION-ANGLE VARIABLES, ARNOLD, COLLOCATION METHOD, COMPUTATION, DYNAMICAL-SYSTEMS, ELLIPTIC EQUILIBRIUM-POINT, HAMILTONIAN SYSTEM, INVARIANT TORI, LOWER-DIMENSIONAL TORI, NUMERICAL FOURIER-ANALYSIS, invariant tori, numerical approximation, quasi-periodic frequency analysis
Grup de recerca
SD - Sistemes Dinàmics de la UPC

Participants