Invariance of bifurcation equations for high degeneracy bifurcations of non-autonomous periodic maps
Invariance of bifurcation equations for high degeneracy bifurcations of non-autonomous periodic maps
Bifurcations of the class $A_{\mu}$, in Arnold's classification, in non-autonomous $p$-periodic difference equations generated by parameter depending families with $p$ maps, are studied. It is proved that the conditions of degeneracy, non-degeneracy and unfolding are invariant relatively to cyclic order of compositions for any natural number $\mu$. The main tool …