A note on the saddle conic of quadratic planar differential systems.
Boularas, D. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Boularas, D. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Takashi Sano (1999)
Banach Center Publications
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We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.
Yang, Jianwei, Chen, Zirun, Chen, Wen-Sheng, Chen, Yunjie (2011)
Mathematical Problems in Engineering
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Jaroslava Jachanová (1971)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica
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Carlos Gutierrez, Victor Guíñez (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Peter Giblin (2008)
Banach Center Publications
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The classical medial axis and symmetry set of a smooth simple plane curve M, depending as they do on circles bitangent to M, are invariant under euclidean transformations. This article surveys the various ways in which the construction has been adapted to be invariant under affine transformations. They include affine distance and area constructions, and also the 'centre symmetry set' which generalizes central symmetry. A connexion is also made with the tricentre set of a convex plane...
Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Christoph Bandt, Mathias Mesing (2009)
Banach Center Publications
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In the class of self-affine sets on ℝⁿ we study a subclass for which the geometry is rather tractable. A type is a standardized position of two intersecting pieces. For a self-affine tiling, this can be identified with an edge or vertex type. We assume that the number of types is finite. We study the topology of such fractals and their boundary sets, and we show how new finite type fractals can be constructed. For finite type self-affine tiles in the plane we give an algorithm which...
Blažev, Sunčica, Cigić, Vlado (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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M. Ndiaye, H. Giacomini (2000)
Extracta Mathematicae
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