This article is cited 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.

DOI: 10.4213/tmf6673

 English version: Theoretical and Mathematical Physics, 2011, 168:1, 1009–1018

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