Abstract:

Investigating the existence of the fractal limit sets of  p-order Feigenbaum’s maps, we have proved that for any t∈(0,1), there exists such a p-order Feigenbaum’s map that the Hausdorff dimension of  the likely limit set is t, by which some known relative results are generalized in the widest sense.

Key words: p-order Feigenbaum’s map, likely limit set, Hausdorff dimension