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Implicit differential equations with impasse singularities and singular perturbation problems

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Hebrew Univ Magnes Press

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This paper concerns families of constrained differential systems having the form {fx1-1} where h: a"e (n) -> a"e is a C (r) -function, (alpha (1), aEuro broken vertical bar, alpha (n) ) is a C (r) vector field on a"e (n) , r a parts per thousand yen 1, x a a"e (n) and lambda is a real parameter. Using singular perturbation techniques we present some results on the dynamics of the system around a point (x, lambda) of the impasse set lambda = h(x). In addition, planar constrained systems with non-regular impasse surfaces are considered.

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English

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Israel Journal of Mathematics. Jerusalem: Hebrew Univ Magnes Press, v. 189, n. 1, p. 307-322, 2012.

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