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math.DS2025
Disconnected large bifurcation supports and Cartesian products of bifurcations
Timur Bakiev, Yulij S. Ilyashenko
A bifurcation that occurs in a multiparameter family is a Cartesian product if it splits into two factors in the sense that one bifurcation takes place in one part of the phase por…
math.CV2025
Uniqueness theorem for completely non-degenerate B-groups
A. A. Glutsyuk, Yu. S. Ilyashenko
We prove that a completely non-degenerate B-group is uniquely determined by its factor: two such groups with conformally equivalent factors are Möbius conjugate. A similar property…