Iteration of the Translated Tangent
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0588-3
Abstract: The iteration of the map $$z \mapsto \lambda + \tan z$$z↦λ+tanz on the complex plane is investigated for each complex number $$\lambda $$λ. It is shown that its Fatou set always contains a completely invariant… read more here.
Keywords: iteration translated; julia set; julia; totally disconnected ... See more keywords
A structure theorem for semi-parabolic Hénon maps
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DOI: 10.1016/j.aim.2019.05.001
Abstract: Consider the parameter space $\mathcal{P}_{\lambda}\subset \mathbb{C}^{2}$ of complex H\'enon maps $$ H_{c,a}(x,y)=(x^{2}+c+ay,ax),\ \ a\neq 0 $$ which have a semi-parabolic fixed point with one eigenvalue $\lambda=e^{2\pi i p/q}$. We give a characterization of those H\'enon… read more here.
Keywords: semi parabolic; julia set; structure theorem; parabolic non ... See more keywords