Subordinate Šil'nikov bifurcations near some singularities of vector fields having low codimension

Broer, H. W. & Vegter, G. 1984 In : Ergodic Theory and Dynamical Systems. 17 p.

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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.
Original languageEnglish
Number of pages17
JournalErgodic Theory and Dynamical Systems
StatePublished - 1984

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