Topics in singular perturbations
نویسندگان
چکیده
منابع مشابه
Topics in Singular Perturbations and Hybrid Asymptotic-Numerical Methods
Hybrid asymptotic-numerical methods are used to study various singular perturbation problems where innnite logarithmic asymptotic expansions occur. In particular, they are used to sum the innnite logarithmic expansions that arise for a low Reynolds number ow problem and for certain two-dimensional eigenvalue problems in perforated domains. Asymptotic and numerical methods are also used to analy...
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Let A : D(A) H ! H be an injective self-adjoint operator and let : D(A) ! X, X a Banach space, be a surjective linear map such that k k X c kAAk H. Supposing that Range (0) \ H 0 = f0g, we deene a family A of self-adjoint operators which are extensions of the symmetric operator A jf =0g. Any in the operator domain D(A) is characterized by a sort of boundary conditions on its univocally deened r...
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In this paper we describe the dynamics of singularly perturbed complex polynomials. That is, we start with a complex polynomial whose dynamics are well understood. Then we perturb this map by adding a pole, i.e., by adding in a term of the form λ/(z − a)d where the parameter λ is complex. This changes the polynomial into a rational map of higher degree and, as we shall see, the dynamical behavi...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1968
ISSN: 0001-8708
DOI: 10.1016/0001-8708(68)90023-6