Discrete Line Fields on Surfaces

18 Feb 2020 Novello Tiago Paixão João Tomei Carlos Lewiner Thomas

Vector fields and line fields, their counterparts without orientations on tangent lines, are familiar objects in the theory of dynamical systems. Among the techniques used in their study, the Morse--Smale decomposition of a (generic) field plays a fundamental role, relating the geometric structure of phase space to a combinatorial object consisting of critical points and separatrices... (read more)

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  • COMPUTATIONAL GEOMETRY
  • DISCRETE MATHEMATICS