Structurally Unstable Quadratic Vector Fields of Codimension Two: Families Possessing Either a Cusp Point or Two Finite Saddle-Nodes
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DOI: 10.1007/s10884-020-09871-2
Abstract: The goal of this paper is to contribute to the classification of the phase portraits of planar quadratic differential systems according to their structural stability. Artes et al. (Mem Am Math Soc 134:639, 1998) proved… read more here.
Keywords: vector fields; structurally unstable; quadratic vector; phase portraits ... See more keywords
Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aaf51e
Abstract: We apply Kahan's discretisation method to three classes of 2-dimensional quadratic vector fields with quadratic, resp cubic, resp quartic Hamiltonians. We show that the maps obtained in this way can be geometrically understood as the… read more here.
Keywords: kahan discretisation; quadratic vector; vector fields; generalised manin ... See more keywords