PMID: 11308742Apr 20, 2001Paper

Milnor strange nonchaotic attractor with complex basin of attraction

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H L Yang

Abstract

The transcritical blowout bifurcation of a quasiperiodic torus on an invariant subspace is studied in this paper. We found that the strange nonchaotic attractor (SNA) beyond the blowout bifurcation is only a weak attractor in the sense of Milnor. This is different from the popularly studied case where the Milnor attractor is a chaotic one with a riddled basin of attraction. Characters of this Milnor SNA and the influence of a random noise are studied.

References

Feb 19, 1990·Physical Review Letters·L M Pecora, T L Carroll
Dec 10, 1990·Physical Review Letters·L YuQ Chen
Jan 18, 1993·Physical Review Letters·N PlattC Tresser
Dec 20, 1993·Physical Review Letters·E OttJ A Yorke
Mar 25, 1996·Physical Review Letters·B R Hunt, E Ott
Jul 1, 1996·Physical Review Letters·Y C LaiS C Venkataramani
Dec 16, 1996·Physical Review Letters·T Yalçinkaya, Y C Lai

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Citations

Oct 2, 2009·Chaos·Amitabha NandiRam Ramaswamy
Oct 9, 2002·Physical Review Letters·Marc TimmeTheo Geisel

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