… existence of many one and two-hole cantori for families of maps … cantori on passing between
double-well and single-well regimes. In particular, there must be a bifurcation in which a one…

… one to two-hole transition [7] for cantori in a two-harmonic model. Using a multi-precision
software package [8], we show that the transition is signalled be a divergence in one … transition …

… In particular, what are the typical ways in which cantori can bifurcate? We are studying
one case in detail numerically, namely the one-to-two hole transition [3]. Could …

… on two cantori. The vague topology on cantori is defined by saying that the two cantori are
close … There is a circle to two-hole cantorus transition occurring at |$\epsilon =1$|⁠. The limit |$\…

… bounded by the cantori, and once inside a cantorus, the chaotic orbits may transition to an
… different hole sizes, h, calculated considering the two hole positions shown in Figure 4. Both …

… hyperbolic at the transition because uniformly hyperbolic … two-hole cantori of given rotation
number w (see appendix A), and an open set W of parameter values where there is just one …

… 2 → 3 is not possible, instead, we observe the transition 2 → 1 and 1 → 2. The destruction
of the islands is the same for every value of K1: the two remaining islands are destroyed …

… bounded by the cantori, and once inside a cantorus, the chaotic orbits may transition to an
inner … the two hole positions shown in Fig. 4. Both holes exhibit qualitatively similar behavior. …

… Flash boiling is the rapid phase transition from liquid to vapor when the liquid is injected
into … [16] studied the effect of the hole-axis-angle of two-hole nozzles on the liquid and vapor …

The main objective of this study is to understand the mechanism of the spray collapse during
flash boiling using multi-hole injectors. The spray characteristics of a five-hole gasoline …