THE QUASI-SINE FIBONACCI HYPERBOLIC DYNAMIC SYSTEM

DOI10.1142/S0218348X10004725zbMath1192.37066MaRDI QIDQ3573158

Feng-Dan Ge, Xing-Yuan Wang

Publication date: 30 June 2010

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

fixed pointcritical pointJulia setMandelbrot setquasi-sine Fibonacci functionhyperbolic dynamic system

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Related Items (7)

Fractal dynamics and control of the fractional Potts model on diamond-like hierarchical lattices ⋮ Quasi-sine Fibonacci M set with perturbation ⋮ Graphical representations for the homogeneous bivariate Newton's method ⋮ Fractal analysis and control in the predator–prey model ⋮ Bivariate Newton-Raphson method and toroidal attraction basins ⋮ Recurrence analysis on Julia sets of semigroups of complex polynomials ⋮ Control and synchronization of Julia sets of the complex dissipative standard system

Cites Work

• The golden section in measurement theory
• Fundamentals of a new kind of mathematics based on the golden section
• Theory of Binet formulas for Fibonacci and Lucas \(p\)-numbers
• The ``golden algebraic equations
• On a new class of hyperbolic functions
• The ``golden hyperbolic models of Universe
• The generalized principle of the Golden Section and its applications in mathematics, science, and engineering
• The Golden Shofar
• The continuous functions for the Fibonacci and Lucas \(p\)-numbers
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