  We investigate resonance states in three-cluster continuum of some light
nuclei $^{9}$Be, $^{9}$B, $^{10}$B, $^{11}$B and $^{11}$C. These nuclei are
considered to have a three-cluster configuration consisting of two
alpha-particles and neutron, proton, deuteron, triton and nucleus $^{3}$He. In
this study, we make use two different microscopic three-cluster models. The
first model employs the Hyperspherical Harmonics basis to numerate channels and
describe three-cluster continuum. The second model is the well-known complex
scaling method. The nucleon-nucleon interaction is modeled by the
semi-realistic Minnesota and Hasegawa-Nagata potentials. Our main aim is to
find the Hoyle-analog states in these nuclei or, in other words, whether it is
possible to synthesize these nuclei in a triple collision of clusters. We
formulate the criteria for selecting such states and apply them to resonance
states, emerged from our calculations. We found that there are resonance states
obeying the formulated criteria which make possible syntheses of these nuclei
in a stellar environment.
