Fractalization of Torus Revisited as a Strange Nonchaotic Attractor

Details Fractalization of Torus Revisited as a Strange Nonchaotic Attractor Fractalization of Torus Revisited as a Strange Nonchaotic Attractor

1996-07-03

arxiv.org/abs/chao-dyn/9606019v1

Nonlinear Sciences

Chaotic Dynamics

Latex file ( figures will be sent electronically upon request):submitted to Phys.Rev. E (1996)

Scientific paper

10.1103/PhysRevE.54.6114

Fractalization of torus and its transition to chaos in a quasi-periodically forced logistic map is re-investigated in relation with a strange nonchaotic attractor, with the aid of functional equation for the invariant curve. Existence of fractal torus in an interval in parameter space is confirmed by the length and the number of extrema of the torus attractor, as well as the Fourier mode analysis. Mechanisms of the onset of fractal torus and the transition to chaos are studied in connection with the intermittency.

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