2003/10/01 by SHIZUO NAKANE, Shizuo Nakane, Dierk Schleicher +1 · 1 citation
Mathematics · #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #advanced mathematical theories
paper · doi:10.1142/s0218127403008259
We investigate the dynamics and the bifurcation diagrams of iterated antiholomorphic polynomials: These are complex conjugates of ordinary polynomials. Their second iterates are holomorphic polynomials, but dependence on parameters is only real-analytic. The structure of hyperbolic components of the family of unicritical antiholomorphic polynomials is revealed. In case of degree two, they arise naturally in the parameter space of real cubic (holomorphic) polynomials, which we investigate as well.