Dynamics of the kicked logistic map

M S Baptista, I L Caldas

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


The modulation of the logistic map by a sequence of periodic kicks brings up a three-parameter kicked logistic map (klm) with new distinct dynamic features. Thus, its parameter space structure exhibits highly interleaved sets with different attractors, and complex basins of attraction are created. Additional roots to chaos and abrupt attractor changes 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 the average laminar length on the control parameters. This behaviour is verified for both the internal and the transfer crisis-induced intermittency.

Original languageEnglish
Pages (from-to)325-336
Number of pages12
JournalChaos, Solitons & Fractals
Issue number3
Publication statusPublished - Mar 1996


  • chaos
  • intermittency
  • crisis
  • perturbations
  • attractors
  • systems


Dive into the research topics of 'Dynamics of the kicked logistic map'. Together they form a unique fingerprint.

Cite this