Add to ORKGABSTRACT. In this paper we consider diffeomorphisms of C? of the special form F(z, W) = (w,--z + ~G(w)). For such maps the origin is a parabolic fixed point. Under certain hypotheses on G we prove the existence of a domain R c @ with 0 E aR and of invariant complex cnrves 20 = f(t) and zv = g(z), z E R, for F-l and F, such that Fhn(z,f(z)) t 0 and F”(z,g(z)) + 0 as n + co. 1
Abstract. We study a family of rational maps of the sphere with the property that each map has two f...
Abstract. We consider a one-parameter family of Hénon maps on R2 given by fa(x, y) = (y, y 2+ax) w...
Abstract. In this article we study the dynamics generated by germs of parabolic diffeomorphisms f: (...
The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C
Let F be a germ of holomorphic diffeomorphism of C-2 fixing O and such that dF(O) has eigenvalues 1 ...
Parabolic bifurcations in one complex dimension demonstrate a wide variety of interesting dy-namical...
AbstractLet f∈End(C2,O) be tangent to the identity and with order ν(f)⩾2. We study the dynamics of f...
We give a simple proof of the existence of parabolic curves for diffeomorphisms in (C 2 , 0) tangent...
Thesis (M.S.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics ...
We give a simple proof of the existence of parabolic curves for diffeomorphisms in (C2, 0) tangent t...
AbstractOne of the interesting areas in the study of the local dynamics in several complex variables...
In this paper we study the dynamics of germs of quasi-parabolic one-resonant biholomorphisms of C^{...
summary:For several specific mappings we show their chaotic behaviour by detecting the existence of ...
In this thesis, we study three closely related topics: critically finite maps on Pk, attractors on ...
In this paper we study germs of diffeomorphisms in the complex plane. We address the following probl...
Abstract. We study a family of rational maps of the sphere with the property that each map has two f...
Abstract. We consider a one-parameter family of Hénon maps on R2 given by fa(x, y) = (y, y 2+ax) w...
Abstract. In this article we study the dynamics generated by germs of parabolic diffeomorphisms f: (...
The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C
Let F be a germ of holomorphic diffeomorphism of C-2 fixing O and such that dF(O) has eigenvalues 1 ...
Parabolic bifurcations in one complex dimension demonstrate a wide variety of interesting dy-namical...
AbstractLet f∈End(C2,O) be tangent to the identity and with order ν(f)⩾2. We study the dynamics of f...
We give a simple proof of the existence of parabolic curves for diffeomorphisms in (C 2 , 0) tangent...
Thesis (M.S.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics ...
We give a simple proof of the existence of parabolic curves for diffeomorphisms in (C2, 0) tangent t...
AbstractOne of the interesting areas in the study of the local dynamics in several complex variables...
In this paper we study the dynamics of germs of quasi-parabolic one-resonant biholomorphisms of C^{...
summary:For several specific mappings we show their chaotic behaviour by detecting the existence of ...
In this thesis, we study three closely related topics: critically finite maps on Pk, attractors on ...
In this paper we study germs of diffeomorphisms in the complex plane. We address the following probl...
Abstract. We study a family of rational maps of the sphere with the property that each map has two f...
Abstract. We consider a one-parameter family of Hénon maps on R2 given by fa(x, y) = (y, y 2+ax) w...
Abstract. In this article we study the dynamics generated by germs of parabolic diffeomorphisms f: (...