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

DOI10.1142/S0218127410028239zbMath1298.37028MaRDI QIDQ3086302

Tsuyoshi Itoh, Hisashi Ishida

Publication date: 30 March 2011

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

zbMATH Keywords

bifurcation curvesconnectedness locusbiquadratic polynomialsattracting fixed points

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Invariant sets under iteration of rational functions
• THE CONNECTEDNESS LOCUS OF A FAMILY OF REAL BIQUADRATIC POLYNOMIALS
• ON THE "CROSSROAD AREA–SADDLE AREA" AND "CROSSROAD AREA–SPRING AREA" TRANSITIONS

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