THE CONNECTEDNESS LOCUS OF A FAMILY OF REAL BIQUADRATIC POLYNOMIALS

DOI10.1142/S0218127407019767zbMath1149.37314OpenAlexW2013217354MaRDI QIDQ3533732

Yeshun Sun, Yongcheng Yin

Publication date: 23 October 2008

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

Full work available at URL: https://doi.org/10.1142/s0218127407019767

zbMATH Keywords

polynomialsJulia setMandelbrot setconnectedness locus

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) 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 (1)

BIFURCATION CURVES OF A FAMILY OF ONE-DIMENSIONAL BIQUADRATIC POLYNOMIAL MAPS, DEPENDING ON THE COMPLEX VARIABLE, AND TWO REAL PARAMETERS

Cites Work

• The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
• The iteration of cubic polynomials. II: Patterns and parapatterns

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