DYNAMICS OF THE KICKED LOGISTIC MAP

The modulation of the logistic map by a sequence of periodic kicks bri ngs up a three-parameter kicked logistic map (klm) with new distinct d ynamic features. Thus, its parameter space structure exhibits highly i nterleaved sets with different attractors, and complex basins of attra ction are created. Additional roots to chaos and abrupt attractor chan ges are identified in the parameter space. The observed intermittency route to chaos is distinct to those typical of spatially discontinuous unidimensional maps, with a characteristic power-law dependence of th e average laminar length on the control parameters. This behaviour is verified for both the internal and the transfer crisis-induced intermi ttency.