Invariant tori for periodically perturbed oscillators.

Chicone, Carmen. "Invariant tori for periodically perturbed oscillators.." Publicacions Matemàtiques 41.1 (1997): 57-83. <http://eudml.org/doc/41289>.

@article{Chicone1997,
abstract = {The response of an oscillator to a small amplitude periodic excitation is discussed. In particular, sufficient conditions are formulated for the perturbed oscillator to have an invariant torus in the phase cylinder. When such an invariant torus exists, some perturbed solutions are in the basin of attraction of this torus and are thus entrained to the dynamical behavior of the perturbed system on the torus. In particular, the perturbed solutions in the basin of attraction of the invariant torus are entrained to a subharmonic orto a quasi periodic motion.},
author = {Chicone, Carmen},
journal = {Publicacions Matemàtiques},
keywords = {Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ecuaciones polinómicas; Oscilador alineal; Teoría de bifurcación; oscillator; small amplitude periodic excitation; invariant torus; phase cylinder; dynamical behavior of the perturbed system; subharmonic; quasi-periodic motion},
language = {eng},
number = {1},
pages = {57-83},
title = {Invariant tori for periodically perturbed oscillators.},
url = {http://eudml.org/doc/41289},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Chicone, Carmen
TI - Invariant tori for periodically perturbed oscillators.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 1
SP - 57
EP - 83
AB - The response of an oscillator to a small amplitude periodic excitation is discussed. In particular, sufficient conditions are formulated for the perturbed oscillator to have an invariant torus in the phase cylinder. When such an invariant torus exists, some perturbed solutions are in the basin of attraction of this torus and are thus entrained to the dynamical behavior of the perturbed system on the torus. In particular, the perturbed solutions in the basin of attraction of the invariant torus are entrained to a subharmonic orto a quasi periodic motion.
LA - eng
KW - Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ecuaciones polinómicas; Oscilador alineal; Teoría de bifurcación; oscillator; small amplitude periodic excitation; invariant torus; phase cylinder; dynamical behavior of the perturbed system; subharmonic; quasi-periodic motion
UR - http://eudml.org/doc/41289
ER -