Complex patterns on the plane: different types of basin fractalization in a two-dimensional mapping

Details Complex patterns on the plane: different types of basin fractalization in a two-dimensional mapping Complex patterns on the plane: different types of basin fractalization in a two-dimensional mapping

2002-04-15

arxiv.org/abs/nlin/0204028v1

Nonlinear Sciences

Chaotic Dynamics

19 pages, 11 figures

Scientific paper

Basins generated by a noninvertible mapping formed by two symmetrically coupled logistic maps are studied when the only parameter \lambda of the system is modified. Complex patterns on the plane are visualised as a consequence of basins' bifurcations. According to the already established nomenclature in the literature, we present the relevant phenomenology organised in different scenarios: fractal islands disaggregation, finite disaggregation, infinitely disconnected basin, infinitely many converging sequences of lakes, countable self-similar disaggregation and sharp fractal boundary. By use of critical curves, we determine the influence of zones with different number of first rank preimages in the mechanisms of basin fractalization.

Affiliated with

Also associated with

No associations

Rating

Complex patterns on the plane: different types of basin fractalization in a two-dimensional mapping does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Complex patterns on the plane: different types of basin fractalization in a two-dimensional mapping, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complex patterns on the plane: different types of basin fractalization in a two-dimensional mapping will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-383632