Blowup Points and Baby Mandelbrot Sets for a Family of Singularly Perturbed Rational Maps

Author:

Campbell James T.,Collins Jared T.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference18 articles.

1. Blanchard, P., Devaney, R., Cuzzocreo, D., Fitzgibbon, E.: Accessible mandelbrot sets in the family $$z^n + c/z^n$$ z n + c / z n . Qual Theory Differ. Equ. (to appear 2016)

2. Campbell, J., Collins, J.: Specifying attracing cycles for Newton maps of polynomials. J. Differ. Equ. Appl. 19(8), 1361–1379 (2013)

3. Carleson, L., Gamelin, T.: Complex Dynamics. Springer-Verlag, New York, New York (1993)

4. Devaney, R.L.: Singular perturbations of complex polynomials. Bull. Am. Math. Soc. 50, 391–429 (2013)

5. Douady, A., Hubbard, J.: On the dynamics of polynomial-like mappings. Ann. Sci. ENS Paris 18, 287–343 (1985)

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