Abstract An impasse point of the implicit differential‐algebraic system equation image . Has been characterized in Part I of this paper as a limit point of an induced solution curve equation image In this paper we use the Liapunov‐Schmidt procedure to derive an analytical test for identifying impasse points. We also invoke the transversality theory from differential topology to show that almost all singular points (X o , y o ) of S, which occur when the Jacobian matrix equation image is singular, are in fact impasse points.
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