FAMILY OF INVARIANT CANTOR SETS AS ORBITS OF DIFFERENTIAL EQUATIONS II: JULIA SETS

DOI10.1142/S0218127411028295zbMath1208.37030WikidataQ121763042 ScholiaQ121763042MaRDI QIDQ3086308

Tomoki Kawahira, Hualun Li, Juan-Ming Yuan, Yi-Chiuan Chen

Publication date: 30 March 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Julia setMandelbrot setexternal rayanti-integrable limit

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05) Dynamical systems involving maps of the interval (37E05)

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Family of Smale–Williams Solenoid Attractors as Solutions of Differential Equations: Exact Formula and Conjugacy ⋮ Simple proofs for the derivative estimates of the holomorphic motion near two boundary points of the Mandelbrot set ⋮ Horseshoes, Entropy, Homoclinic Trajectories, and Lyapunov Stability ⋮ The area of the Mandelbrot set and Zagier's conjecture ⋮ From Cantor to semi-hyperbolic parameters along external rays

Cites Work

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• Some typical properties of the dynamics of rational maps
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• Dynamics in One Complex Variable. (AM-160)

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