Add to ORKGYeshun Sun & Yongcheng Yin [3] and H. Ishida & T. Itoh [2] presented a precise description of the real cross section of the connectedness locus of the family of bi-quadratic polynomials {(z^2+a)^2+b}. In this note, we shall give a precise description of the real cross section of the connectedness locus of the family of polynomials {(P_2_n_+_1,b ◦ P_2_n_+_1,a)(z)} = {(z^2^n^+^1 +a)^2^n^+^1 +b}, where a, b are complex numbers and n is a positive integer. Our proof is an elementary one
We prove that the characterization of the critical locus for complex H\'enon maps that are small per...
AbstractThe purpose of this paper is to report on some new results on the Topology of Complex Polyno...
We study the correspondence between unicritical laminations and maximally critical laminations with ...
In this article, for degree $d\geq 1$, we construct an embedding $\Phi_d $ of the connectedness locu...
We explore the complex dynamics of a family of polynomials defined on the complex plane by f(z) = az...
O campo da dinâmica complexa analítica tem sofrido um rápido desenvolvimento nos últimos 20 anos. De...
With computers, we are able to construct complicated fractal im-ages that describe the dynamics of c...
O conjunto de Julia de um polinômio complexo P é conexo se, e somente se, as órbitas de seus pontos ...
Let R be a real closed field. The Pierce–Birkhoff conjecture says that any piecewise polynomial func...
We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphi...
Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider cert...
We prove that every parabolic component in the cubic polynomial slice $Per_1(e^{2\pi i\frac{p}{q}})$...
Conjecture 0.1 (Conjecture of Blagovest Sendov (1958))For a complex polynomial of degree two or more...
One of the main questions in the field of complex dynamics is the question whether the Mandelbrot se...
In this paper we study the topology of the hyperbolic component of the parameter plane for the Newto...
We prove that the characterization of the critical locus for complex H\'enon maps that are small per...
AbstractThe purpose of this paper is to report on some new results on the Topology of Complex Polyno...
We study the correspondence between unicritical laminations and maximally critical laminations with ...
In this article, for degree $d\geq 1$, we construct an embedding $\Phi_d $ of the connectedness locu...
We explore the complex dynamics of a family of polynomials defined on the complex plane by f(z) = az...
O campo da dinâmica complexa analítica tem sofrido um rápido desenvolvimento nos últimos 20 anos. De...
With computers, we are able to construct complicated fractal im-ages that describe the dynamics of c...
O conjunto de Julia de um polinômio complexo P é conexo se, e somente se, as órbitas de seus pontos ...
Let R be a real closed field. The Pierce–Birkhoff conjecture says that any piecewise polynomial func...
We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphi...
Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider cert...
We prove that every parabolic component in the cubic polynomial slice $Per_1(e^{2\pi i\frac{p}{q}})$...
Conjecture 0.1 (Conjecture of Blagovest Sendov (1958))For a complex polynomial of degree two or more...
One of the main questions in the field of complex dynamics is the question whether the Mandelbrot se...
In this paper we study the topology of the hyperbolic component of the parameter plane for the Newto...
We prove that the characterization of the critical locus for complex H\'enon maps that are small per...
AbstractThe purpose of this paper is to report on some new results on the Topology of Complex Polyno...
We study the correspondence between unicritical laminations and maximally critical laminations with ...