AbstractWe present an example of a structural stable vector field on the unit disk D3 ⊂ R3, kangent to the boundary of D3, whose nonwandering set is nonhyperbolic. For this we introduce the concept of singular horseshoe which turns out to be one of the models for structural stability on manifolds with boundary
We consider the family of quadratic Hénon diffeomorphisms of the plane R2. A map will be said to be ...
AbstractWe study the set of planar vector fields with a unique singularity of hyperbolic saddle type...
This is a graduate text in differentiable dynamical systems. It focuses on structural stability and ...
AbstractFrom the structural stability viewpoint vector fields on M which are tangent to the boundary...
AbstractLet X be a vector field on M3 which exhibits a saddle connection between a singularity p1 an...
AbstractIn application of dynamical systems, we are often interested in the motion in a compact subs...
As a model to provide a hands-on, elementary understanding of chaotic dynamics in dimension three, w...
AbstractWe construct and study a one-parameter family of three-dimensional vector fields Xλ near a v...
In the paper, we show that for a generic $C^1$ vector field $X$ on a closed three dimensional manifo...
Abstract—We study the hyperbolic dynamics of three-dimensional quadratic maps with constant Jacobian...
AbstractWe study in this paper preservation of dynamical and shape theoretical properties under cont...
AbstractIn this paper we consider Cherry Vector Fields on the torus with exactly two singularities: ...
Abstract. In this paper we consider a non-smooth vector field Z = (X,Y), where X,Y are linear vector...
We present diffeomorphisms of wild blender-horseshoes which belong to $C^r$ $(1\leq r<\infty)$ closu...
In this paper we consider horseshoes with homoclinic tangencies inside the limit set. For a class of...
We consider the family of quadratic Hénon diffeomorphisms of the plane R2. A map will be said to be ...
AbstractWe study the set of planar vector fields with a unique singularity of hyperbolic saddle type...
This is a graduate text in differentiable dynamical systems. It focuses on structural stability and ...
AbstractFrom the structural stability viewpoint vector fields on M which are tangent to the boundary...
AbstractLet X be a vector field on M3 which exhibits a saddle connection between a singularity p1 an...
AbstractIn application of dynamical systems, we are often interested in the motion in a compact subs...
As a model to provide a hands-on, elementary understanding of chaotic dynamics in dimension three, w...
AbstractWe construct and study a one-parameter family of three-dimensional vector fields Xλ near a v...
In the paper, we show that for a generic $C^1$ vector field $X$ on a closed three dimensional manifo...
Abstract—We study the hyperbolic dynamics of three-dimensional quadratic maps with constant Jacobian...
AbstractWe study in this paper preservation of dynamical and shape theoretical properties under cont...
AbstractIn this paper we consider Cherry Vector Fields on the torus with exactly two singularities: ...
Abstract. In this paper we consider a non-smooth vector field Z = (X,Y), where X,Y are linear vector...
We present diffeomorphisms of wild blender-horseshoes which belong to $C^r$ $(1\leq r<\infty)$ closu...
In this paper we consider horseshoes with homoclinic tangencies inside the limit set. For a class of...
We consider the family of quadratic Hénon diffeomorphisms of the plane R2. A map will be said to be ...
AbstractWe study the set of planar vector fields with a unique singularity of hyperbolic saddle type...
This is a graduate text in differentiable dynamical systems. It focuses on structural stability and ...
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