Impasse Singularities of Differential Systems of the Form A(x) x′=F(x)

By J. Sotomayor, M. Zhitomirskii. 2001

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whose points are called impasse points. Usually there are no phase curves passing through S (see the figures in this paper), therefore systems of the form (CS) can be called constrained systems, see [SL, Zh]. This name will be used throughout the paper. The other possible names are ``quasi-linear systems,'' see [RR], or ``generalized vector fields,'' see [CO, Me]. In the study of constrained systems there are two directions of research. The first one amounts to consider the case where rank A(x)#n&1, then doi:10.1006 jdeq.2000.3908, available online at http: www.idealibrary.com on

Subfields: Computer Networks and Communications, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2b6040f64ac28b52aaebdd8e419f728aa02e1032