Letg aC 2 generic bimodal map of the circle. We prove that the closure of the union of the order preserving recurrent sets with irrational rotation number has Hausdorff dimension zero. This set contains order preserving periodic orbits with each rotation numberp/q in the rotation interval ofg
By a rotational system, we mean a closed subset X of the circle, T=R/Z, together with a continuous t...
In the space of binary sequences, minimal sets, that is: sets invariant under the shift operation, t...
As was known to H. Poincare, an orientation preserving circle homeomorphism without periodic points ...
The maps we consider are roughly those that can be obtained by truncating non-invertible maps to wea...
The theory of circle homeomorphisms has a great number of deep results. However, sometimes continuit...
We study generic unfoldings of homoclinic tangencies of two dimensional area preserving diffeomorphi...
The first result of the paper (Theorem 1.1) is an explicit construction of unimodal maps that are se...
What is the rotation number of the last rotational invariant circle to break in a family of area-pre...
Let f be a C(r)-diffeomorphism of the closed annulus A that preserves the orientation, the boundary ...
Abstract. We study the effect of the arithmetic properties of the rota-tion number on the minimal se...
summary:We study recurrence and non-recurrence sets for dynamical systems on compact spaces, in part...
Abstract. Let T: [0, 1] → [0,1] be an expanding piecewise monotonic map, and consider the set R of ...
Contents 1 Introduction 2 2 Sturmian sequences 3 3 Order preserving circle maps and their lifts 6 4...
We apply the dynamical method to obtain structural results concerning certain classes of one-dimensi...
By a rotational system, we mean a closed subset X of the circle, T=R/Z, together with a continuous t...
By a rotational system, we mean a closed subset X of the circle, T=R/Z, together with a continuous t...
In the space of binary sequences, minimal sets, that is: sets invariant under the shift operation, t...
As was known to H. Poincare, an orientation preserving circle homeomorphism without periodic points ...
The maps we consider are roughly those that can be obtained by truncating non-invertible maps to wea...
The theory of circle homeomorphisms has a great number of deep results. However, sometimes continuit...
We study generic unfoldings of homoclinic tangencies of two dimensional area preserving diffeomorphi...
The first result of the paper (Theorem 1.1) is an explicit construction of unimodal maps that are se...
What is the rotation number of the last rotational invariant circle to break in a family of area-pre...
Let f be a C(r)-diffeomorphism of the closed annulus A that preserves the orientation, the boundary ...
Abstract. We study the effect of the arithmetic properties of the rota-tion number on the minimal se...
summary:We study recurrence and non-recurrence sets for dynamical systems on compact spaces, in part...
Abstract. Let T: [0, 1] → [0,1] be an expanding piecewise monotonic map, and consider the set R of ...
Contents 1 Introduction 2 2 Sturmian sequences 3 3 Order preserving circle maps and their lifts 6 4...
We apply the dynamical method to obtain structural results concerning certain classes of one-dimensi...
By a rotational system, we mean a closed subset X of the circle, T=R/Z, together with a continuous t...
By a rotational system, we mean a closed subset X of the circle, T=R/Z, together with a continuous t...
In the space of binary sequences, minimal sets, that is: sets invariant under the shift operation, t...
As was known to H. Poincare, an orientation preserving circle homeomorphism without periodic points ...
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