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- W2571706799 abstract "We describe the equivalence classes of germs of generic 1-parameter families of complex vector fields z dot = omega_epsilon(z) on C unfolding a singular point of multiplicity k+1: omega_0 = z^{k+1} + o(z^{k+1}). The equivalence is under conjugacy by holomorphic change of coordinate and parameter. We provide a description of the modulus space and (almost) unique normal forms. As a preparatory step, we present the complete bifurcation diagram of the family of vector fields z dot = z^{k+1} - epsilon, over CP1." @default.
- W2571706799 created "2017-01-26" @default.
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- W2571706799 date "2017-01-12" @default.
- W2571706799 modified "2023-09-26" @default.
- W2571706799 title "Generic 1-parameter pertubations of a vector field with a singular point of codimension k" @default.
- W2571706799 hasPublicationYear "2017" @default.
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