scholarly journals Singular Perturbations with Multiple Poles of the Simple Polynomials

2016 ◽  
Vol 16 (3) ◽  
pp. 731-747
Author(s):  
Yingqing Xiao ◽  
Fei Yang
Keyword(s):  
Singular Perturbations ◽  
Multiple Poles

SINGULAR PERTURBATIONS OF zn WITH MULTIPLE POLES

2008 ◽  
Vol 18 (04) ◽  
pp. 1085-1100 ◽  
Author(s):  
SEBASTIAN M. MAROTTA
Keyword(s):  
Singular Perturbations ◽  
Julia Set ◽  
Complex Parameter ◽  
Fatou Set ◽  
Small Complex ◽  
The Family ◽  
Topological Characteristics ◽  
Multiple Poles

We study the dynamics of the family of complex maps given by fλ(z) = zn + λ/((z - a)da(z - b)db) where n ≥ 2 is an integer and λ is an arbitrarily small complex parameter. We focus on the topological characteristics of the Julia set and the Fatou set of fλ(z). We prove that despite the large amount of possibilities there are only four different cases that correspond to different positions and orders of the poles a and b.

scholarly journals Singular perturbations in the quadratic family with multiple poles

2013 ◽  
Vol 19 (1) ◽  
pp. 124-145 ◽  
Author(s):  
Antonio Garijo ◽  
Sebastian M. Marotta ◽  
Elizabeth D. Russell
Keyword(s):  
Singular Perturbations ◽  
Quadratic Family ◽  
Multiple Poles

scholarly journals Singular Perturbations of Self-Adjoint Operators

2003 ◽  
Vol 6 (4) ◽  
pp. 349-384 ◽  
Author(s):  
Vladimir Derkach ◽  
Seppo Hassi ◽  
Henk de Snoo
Keyword(s):  
Singular Perturbations ◽  
Adjoint Operators

Singular Perturbations in Stochastic Control

1984 ◽  
Vol 17 (2) ◽  
pp. 1525-1530
Author(s):  
A. Bensoussan ◽  
G.L. Blankenship
Keyword(s):  
Stochastic Control ◽  
Singular Perturbations
Sign in / Sign up

Export Citation Format

Share Document