Add to ORKGAbstract. In this paper, we show that all periods of periodic points forced by a pattern for interval maps are preserved for high-dimensional maps if the multidimensional perturbation is small. We also show that if an interval map has a fixed point associated with a homoclinic-like orbit then any small multidimensional perturbation has periodic points of all periods. Dedicated to the 60th birthday of MichaÃl Misiurewicz 1
We study a diffeomorphism of a multidimensional space into itself with a hyperbolic fixed point at ...
Abstract. In this paper, we study the dynamics of a smooth multi-modal interval map f with non-flat ...
AbstractSuppose f:[a,b]→[a,b] is continuous. Barge and Martin, and Ingram have shown that if the inv...
Abstract. We consider iterates of maps of an interval to itself and their stable periodic orbits. Wh...
AbstractWe investigate changes in periodicity, and even its suppression, by external periodic forcin...
Abstract Let F be a real or complex n-dimensional map. It is said that F is globally periodic if the...
AbstractSuppose f is a map from an interval [a,b] into itself with a periodic orbit consisting of th...
Preprintt Let F be a real or complex n-dimensional map. It is said that F is globally periodic if th...
In this short note, we find that a continuous piecewise monotone interval map f is chaotic in the se...
Preprintt Let F be a real or complex n-dimensional map. It is said that F is globally periodic if t...
We investigate conditions under which a map in a possibly noncompact interval is acyclic--- the on...
In paper we present the topological method of proving the existence of periodic in multidimensional ...
We present a multidimensional generalization of the Sharkovskii Theorem concerning the appearance of...
In 1964, A. N. Sharkovskii published an article in which he introduced a special ordering on the set...
We state and prove a version of Sharkovskii’s theorem for forced interval maps in which the forcing ...
We study a diffeomorphism of a multidimensional space into itself with a hyperbolic fixed point at ...
Abstract. In this paper, we study the dynamics of a smooth multi-modal interval map f with non-flat ...
AbstractSuppose f:[a,b]→[a,b] is continuous. Barge and Martin, and Ingram have shown that if the inv...
Abstract. We consider iterates of maps of an interval to itself and their stable periodic orbits. Wh...
AbstractWe investigate changes in periodicity, and even its suppression, by external periodic forcin...
Abstract Let F be a real or complex n-dimensional map. It is said that F is globally periodic if the...
AbstractSuppose f is a map from an interval [a,b] into itself with a periodic orbit consisting of th...
Preprintt Let F be a real or complex n-dimensional map. It is said that F is globally periodic if th...
In this short note, we find that a continuous piecewise monotone interval map f is chaotic in the se...
Preprintt Let F be a real or complex n-dimensional map. It is said that F is globally periodic if t...
We investigate conditions under which a map in a possibly noncompact interval is acyclic--- the on...
In paper we present the topological method of proving the existence of periodic in multidimensional ...
We present a multidimensional generalization of the Sharkovskii Theorem concerning the appearance of...
In 1964, A. N. Sharkovskii published an article in which he introduced a special ordering on the set...
We state and prove a version of Sharkovskii’s theorem for forced interval maps in which the forcing ...
We study a diffeomorphism of a multidimensional space into itself with a hyperbolic fixed point at ...
Abstract. In this paper, we study the dynamics of a smooth multi-modal interval map f with non-flat ...
AbstractSuppose f:[a,b]→[a,b] is continuous. Barge and Martin, and Ingram have shown that if the inv...