A specific singularity of a vector field on R3 is considered, of codimension 2 in the dissipative case and of codimension 1 in the conservative case. In both contexts in generic unfoldings the existence is proved of subordinate Šil'nikov bifurcations, which have codimension 1. Special attention is paid to the C∞-flatness of this subordinate phenomenon.
|Number of pages||17|
|Journal||Ergodic Theory and Dynamical Systems|
|Publication status||Published - 1984|