Note on strange nonfractal attractors. (English) Zbl 1165.37315
Summary: We present a case of a strange nonchaotic attractor (SNA) which is also nonfractal and continuous. This provides a counterexample to the widely extended assumption about the intrinsic fractal nature of any SNA. We also show that the most useful techniques to characterize the SNA fail for this case.
MSC:
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 37C05 | Dynamical systems involving smooth mappings and diffeomorphisms |
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