Geodesic
Sinusoidal and Gaussian kicking of a~dissipative oscillator map
Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 1, pp. 180-192

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We propose a two-dimensional map that coincides with the Poincaré map of a kicked oscillator in the zero-dissipation limit. We investigate the main properties of the map under the influence of general odd perturbations. We study the map numerically under variation of the control parameters for two different models of the perturbation, sinusoidal and Gaussian, which give the system complementary properties: the forcing symmetry dominates in the first system, and the resonance symmetry dominates in the second system.
Keywords: kicked oscillator, periodic motion, chaotic map. 
@article{TMF_2011_168_1_a14,
     author = {L. Renna and F. Paladini},
     title = {Sinusoidal and {Gaussian} kicking of a~dissipative oscillator map},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {180--192},
     publisher = {mathdoc},
     volume = {168},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a14/}
}
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L. Renna; F. Paladini. Sinusoidal and Gaussian kicking of a~dissipative oscillator map. Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 1, pp. 180-192. http://geodesic.mathdoc.fr/item/TMF_2011_168_1_a14/