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Geometry of bifurcation sets of generic unfoldings of corank two functions
(2021-11-01)
We study the geometry of bifurcation sets of generic unfoldings of D4±-functions. Taking blow-ups, we show each of the bifurcation sets of D4±-functions admits a parametrization as a surface in R3. Using this parametrization, ...
Towards a semi-local study of parabolic invariant curves for fibered holomorphic maps
(CAMBRIDGE UNIVERSITY PRESS, 2012)
Relaxation of the flow of triods by curve shortening flow via the vector-valued parabolic allen-cahn equation
(WALTER DE GRUYTER & CO, 2009)
Towards a semi-local study of parabolic invariant curves for fibered holomorphic maps
(CAMBRIDGE UNIV PRESS, 2012)
We introduce the study of the local dynamics around a parabolic indifferent invariant curve for fibered holomorphic maps. As in the classical non-fibered case, we show that petals are the main ingredient. Nevertheless, one ...
Stable Gauss maps from a global viewpoint
(Bulletin of the Brazilian Mathematical Society, New Series, 2018)
Constant coordinate curves for parabolic coordinates
(Wolfram demonstrations project, 2016)
Constant coordinate curves for parabolic coordinates
(Wolfram demonstrations project, 2013)