Constructing an expanding metric for dynamical systems in one complex variable

DOI10.1088/0951-7715/18/1/005zbMath1075.37014arXivmath/0406003OpenAlexW2009038007MaRDI QIDQ4655097

Suzanne Lynch Hruska

Publication date: 10 March 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406003

zbMATH Keywords

Julia setquadratic and cubic polynomialsexpanding metricbox chain modelshandicap hedging algorithm

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (3)

INVESTIGATION OF DYNAMICAL SYSTEMS USING SYMBOLIC IMAGES: EFFICIENT IMPLEMENTATION AND APPLICATIONS ⋮ Rigorous bounds for polynomial Julia sets ⋮ On regular polynomial endomorphisms of \(\mathbb C^2\) without bounded critical orbits

Uses Software

• SaddleDrop

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