Original scientific paper
Missing preimages for chaotic logistic map with a hole
Vladimir Paar
; Department of Physics, Faculty of Science, University of Zagreb, Zagreb, Croatia
Nenad Pavin
; Department of Physics, Faculty of Science, University of Zagreb, Zagreb, Croatia
Abstract
Chaotic transients and preimages are investigated for a new map proposed recently, having a hole in the unitinterval of the r 4 logistic map. This map is characterized by deviations from Frobenius-Perron equation for average lifetimes in dependence on hole position in the form of bursts of average lifetime. We present classification of these bursts on the basis of average lifetimes. Using time maps it is investigated how these bursts are caused by missing preimages of the hole interval I 0 . We derive approximate expression for the ratio of lifetimes deduced from Frobenius-Perron and from Kantz-Grassberger equations
Keywords
Hrčak ID:
303503
URI
Publication date:
2.3.1997.
Visits: 143 *