Singular perturbations of complex polynomials
نویسندگان
چکیده
منابع مشابه
Singular Perturbations of Complex Polynomials
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: Bulletin of the American Mathematical Society
سال: 2013
ISSN: 0273-0979,1088-9485
DOI: 10.1090/s0273-0979-2013-01410-1