Triply Bifurcations and Metric Universalities in 1D Trimodal Maps

The famous Feigenbaum’s constants such as scaling factor and convergence rate can be measured and recomputed in unimodal maps, one of the methods is by the n-tupling bifurcations to chaos and parameter calculation algorithm which are called star transformation and word-lifting technique respectively. In the paper, we presented a kind of simple triply star transformation rule and the corresponding proof of admissible three super-stable kneading sequences (TSSKS), a few of TSSKS to chaos by triply bifurcations and the metric universalities are investigated.