Dynamics of the kicked logistic map

M S Baptista, I L Caldas

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

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
Volume7
Issue number3
Publication statusPublished - Mar 1996

Keywords

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

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