dc.contributor.author |
Méndez López, Vicenç |
dc.contributor.author |
Sans, Cristina |
dc.contributor.author |
Campos, Daniel |
dc.contributor.author |
Llopis, Isaac |
dc.date |
2010 |
dc.identifier |
https://ddd.uab.cat/record/118328 |
dc.identifier |
urn:10.1103/PhysRevE.81.066201 |
dc.identifier |
urn:oai:ddd.uab.cat:118328 |
dc.identifier |
urn:recercauab:ARE-54917 |
dc.identifier |
urn:articleid:15393755v81n6p66201/1 |
dc.identifier |
urn:scopus_id:77953384305 |
dc.identifier |
urn:wos_id:000278205400004 |
dc.identifier |
urn:oai:egreta.uab.cat:publications/5a62caeb-636a-4c8d-93e9-99687c85ece0 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Physical review. E : Statistical, nonlinear, and soft matter physics ; Vol. 81, Number 6 (June 2010), p. 066201/1-066201/8 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.title |
Fourier series expansion for nonlinear Hamiltonian oscillators |
dc.type |
Article |
dc.description.abstract |
The problem of nonlinear Hamiltonian oscillators is one of the classical questions in physics. When an analytic solution is not possible, one can resort to obtaining a numerical solution or using perturbation theory around the linear problem. We apply the Fourier series expansion to find approximate solutions to the oscillator position as a function of time as well as the period-amplitude relationship. We compare our results with other recent approaches such as variational methods or heuristic approximations, in particular the Ren-He's method. Based on its application to the Duffing oscillator, the nonlinear pendulum and the eardrum equation, it is shown that the Fourier series expansion method is the most accurate. |