Periodic orbits of period 3 in the disc

Boris Kolev (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

Let f be an orientation preserving homeomorphism of the disc D2 which possesses a periodic point of period 3. Then either f is isotopic, relative the periodic orbit, to a homeomorphism g which is conjugate to a rotation by 2 pi /3 or 4 pi /3, or f has a periodic point of least period n for each n in N*.

Mots clés: Dynamics of surfaces homeomorphisms; periodic orbits

Domaines: Systèmes dynamiques [math.DS]

Boris Kolev. Periodic orbits of period 3 in the disc. Nonlinearity, 1994, 7 (3), pp.1067-1071. ⟨10.1088/0951-7715/7/3/016⟩. ⟨hal-00003272⟩