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This article is cited in 1 scientific paper (total in 1 paper)
Sinusoidal and Gaussian kicking of a dissipative oscillator map
L. Renna, F. Paladini Dipartimento di Fisica, Università del Salento, Lecce, Italy
Abstract:
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.
Citation:
L. Renna, F. Paladini, “Sinusoidal and Gaussian kicking of a dissipative oscillator map”, TMF, 168:1 (2011), 180–192; Theoret. and Math. Phys., 168:1 (2011), 1009–1018
Linking options:
https://www.mathnet.ru/eng/tmf6673https://doi.org/10.4213/tmf6673 https://www.mathnet.ru/eng/tmf/v168/i1/p180
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Abstract page: | 286 | Full-text PDF : | 163 | References: | 48 | First page: | 3 |
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