Turning curves for critically recurrent cubic polynomials

DOI10.1088/0951-7715/12/2/015zbMath0963.37040OpenAlexW1978594002MaRDI QIDQ4265701

David M. Harris

Publication date: 8 July 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/12/2/015

zbMATH Keywords

Fibonacci polynomialturning curvepersistent recurrence

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (5)

Puiseux series polynomial dynamics and iteration of complex cubic polynomials ⋮ The classification of polynomial basins of infinity ⋮ Cubic polynomial maps with periodic critical orbit, Part II: Escape regions ⋮ A NEW PROOF OF THE REALISATION OF CUBIC TABLEAUX ⋮ On Fibonacci polynomials and wandering domains: Figure 1.

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