DYNAMICS AND BIFURCATIONS OF A FAMILY OF RATIONAL MAPS WITH PARABOLIC FIXED POINTS
DOI10.1142/S0218127411030568zbMath1258.37059OpenAlexW2038523194MaRDI QIDQ4908433
Jane M. Hawkins, Rika Hagihara
Publication date: 5 March 2013
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127411030568
Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Bifurcations of singular points in dynamical systems (37G10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Cites Work
- Hausdorff dimension and conformal dynamics. II: Geometrically finite rational maps
- Parabolic orbifolds and the dimension of the maximal measure for rational maps
- On some exceptional rational maps
- Connectivity properties of Julia sets of Weierstrass elliptic functions
- On Rational Maps with Two Critical Points
- A parabolic Pommerenke–Levin–Yoccoz inequality
- Quadratic rational maps lacking period 2 orbits
- On the uniqueness of the maximizing measure for rational maps
- Dynamics in One Complex Variable. (AM-160)
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