Add to ORKGAbstract The self-maps on the circle having periodic orbits with least period 3 are classified into relative homotopy-conjugacy classes. We will show that except for the maps in one exceptional class, all these kinds of maps have periodic orbits with all least periods but 2. Thus, a kind of Sharkovskii's type theorem on the circle is obtained.</p
International audienceWe study the rigidity problem for periodic orbits of (continuous) graph maps b...
AbstractIn this work we show that the Wecken theorem for periodic points holds for periodic homeomor...
Kulkarni showed that, if $g$ is greater than three, any periodic map on the oriented surface of genu...
The self-maps on the circle having periodic orbits with least period 3 are classified into relative ...
In 1964, A. N. Sharkovskii published an article in which he introduced a special ordering on the set...
AbstractA special case of Sarkovskii's theorem says that if a continuous function has a period-3 poi...
AbstractLet ƒ: S1 → S1 be a continuous self-map of the circle. We show that ƒ is uniquely ergodic if...
In this paper we study the periodic orbits of a particular family,:F, of maps of the circle. These m...
We study the set of periods of degree 1 continuous maps from σ into itself, where σ denotes the spac...
AbstractWe give a necessary and sufficient condition for topological conjugacy of homeomorphisms of ...
AbstractFor a reversible periodic orbitγwe apply the sequence of homotopy invariants degn(γ),n=1, 2,...
We apply the dynamical method to obtain structural results concerning certain classes of one-dimensi...
One of the main problems of the theory of dynamical systems is the determination of the existence of...
7 pagesInternational audienceLet f be an orientation preserving homeomorphism of the disc D2 which p...
In this article, we study a one-parameter family of circle homeomorphisms with one break point. It i...
International audienceWe study the rigidity problem for periodic orbits of (continuous) graph maps b...
AbstractIn this work we show that the Wecken theorem for periodic points holds for periodic homeomor...
Kulkarni showed that, if $g$ is greater than three, any periodic map on the oriented surface of genu...
The self-maps on the circle having periodic orbits with least period 3 are classified into relative ...
In 1964, A. N. Sharkovskii published an article in which he introduced a special ordering on the set...
AbstractA special case of Sarkovskii's theorem says that if a continuous function has a period-3 poi...
AbstractLet ƒ: S1 → S1 be a continuous self-map of the circle. We show that ƒ is uniquely ergodic if...
In this paper we study the periodic orbits of a particular family,:F, of maps of the circle. These m...
We study the set of periods of degree 1 continuous maps from σ into itself, where σ denotes the spac...
AbstractWe give a necessary and sufficient condition for topological conjugacy of homeomorphisms of ...
AbstractFor a reversible periodic orbitγwe apply the sequence of homotopy invariants degn(γ),n=1, 2,...
We apply the dynamical method to obtain structural results concerning certain classes of one-dimensi...
One of the main problems of the theory of dynamical systems is the determination of the existence of...
7 pagesInternational audienceLet f be an orientation preserving homeomorphism of the disc D2 which p...
In this article, we study a one-parameter family of circle homeomorphisms with one break point. It i...
International audienceWe study the rigidity problem for periodic orbits of (continuous) graph maps b...
AbstractIn this work we show that the Wecken theorem for periodic points holds for periodic homeomor...
Kulkarni showed that, if $g$ is greater than three, any periodic map on the oriented surface of genu...