Add to ORKGWe present diffeomorphisms of wild blender-horseshoes which belong to $C^r$ $(1\leq r<\infty)$ closures of two types of diffeomorphisms, one of which has a historic contracting wandering domain, and the other has a non-trivial Dirac physical measure supported by saddle periodic orbit. It is a non-trivial extension of Colli-Vargas' model [CV01] to the higher dimensional dynamics with the use of wild blender-horseshoes.Comment: 26 pages, 6 figure
The asymptotic sectional hyperbolicity is a weak notion of hyperbolicity that extends properly the s...
A diffeomorphism exhibits a blender if it has an invariant hyperbolic set with the $C^1$-robust prop...
As a model to provide a hands-on, elementary understanding of chaotic dynamics in dimension three, w...
In this article we study some statistical aspects of surface diffeomorphisms. We first show that for...
A question whether sufficiently regular manifold automorphisms may have wandering domains with contr...
Recently, Benini et al. showed that, in simply connected wandering domains of entire functions, all ...
While the dynamics of transcendental entire functions in periodic Fatou components and in multiply c...
We use the Folding Theorem of [Bis15] to construct an entire function f in class ℬ and a wandering d...
A heterodimensional cycle is an invariant set of a dynamical system consisting of two hyperbolic per...
We obtain a structurally stable family of smooth ordinary differential equations exhibiting heterocl...
We study the horocycle flow on the stratum of translation surfaces $\mathcal{H}(2)$. We show that th...
The dynamics and limit set of a discrete-time system is described which is similar to the horseshoe ...
International audienceThe classification of Fatou components for rational functions was concluded wi...
We study bifurcations of a homoclinic tangency to a saddle fixed point without non-leading multiplie...
We study a class $\widehat{\mathfrak{F}}$ of one-dimensional full branch maps introduced in [Doubly ...
The asymptotic sectional hyperbolicity is a weak notion of hyperbolicity that extends properly the s...
A diffeomorphism exhibits a blender if it has an invariant hyperbolic set with the $C^1$-robust prop...
As a model to provide a hands-on, elementary understanding of chaotic dynamics in dimension three, w...
In this article we study some statistical aspects of surface diffeomorphisms. We first show that for...
A question whether sufficiently regular manifold automorphisms may have wandering domains with contr...
Recently, Benini et al. showed that, in simply connected wandering domains of entire functions, all ...
While the dynamics of transcendental entire functions in periodic Fatou components and in multiply c...
We use the Folding Theorem of [Bis15] to construct an entire function f in class ℬ and a wandering d...
A heterodimensional cycle is an invariant set of a dynamical system consisting of two hyperbolic per...
We obtain a structurally stable family of smooth ordinary differential equations exhibiting heterocl...
We study the horocycle flow on the stratum of translation surfaces $\mathcal{H}(2)$. We show that th...
The dynamics and limit set of a discrete-time system is described which is similar to the horseshoe ...
International audienceThe classification of Fatou components for rational functions was concluded wi...
We study bifurcations of a homoclinic tangency to a saddle fixed point without non-leading multiplie...
We study a class $\widehat{\mathfrak{F}}$ of one-dimensional full branch maps introduced in [Doubly ...
The asymptotic sectional hyperbolicity is a weak notion of hyperbolicity that extends properly the s...
A diffeomorphism exhibits a blender if it has an invariant hyperbolic set with the $C^1$-robust prop...
As a model to provide a hands-on, elementary understanding of chaotic dynamics in dimension three, w...