Strange non-chaotic attractor in a quasiperiodically forced circle map

We show that in the quasiperiodically forced circle map strange non-chaotic attractors can appear for non-linearities far from the border of chaos. The destruction of a two-frequency quasiperiodic torus connected with the appearance of a strange non-chaotic attractor is described in detail. This str...

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Bibliographic Details
Published in:Physica. D 1995-12, Vol.88 (3), p.176-186
Main Authors: Feudel, Ulrike, Kurths, Jürgen, Pikovsky, Arkady S.
Format: Article
Language:English
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Summary:We show that in the quasiperiodically forced circle map strange non-chaotic attractors can appear for non-linearities far from the border of chaos. The destruction of a two-frequency quasiperiodic torus connected with the appearance of a strange non-chaotic attractor is described in detail. This strange non-chaotic attractor is characterized by logarithmically slow diffusion of the phase. It is shown that in this regime the high-order phase-locking states disappear and the rotation number varies rather smoothly with the parameters.
ISSN:0167-2789
1872-8022
DOI:10.1016/0167-2789(95)00205-I