Let Ψ: ℝ×T ↦ T be a continuous dynamical system on the two-dimensional torus T. The aim of this paper is to prove some characterizations about the existence of a Siegel curve, i.e. a simple closed curve which cuts every half-trajectory of the dynamical system (T,Ψ). This result completes and precises some results obtained in our article [7].
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Vol. 13 (1999)
Published: 1999-09-30
10.1515/amsil
English