Abstract
A Lauwerier-type limiting case of a folded-towel diffeomorphism is considered. Its existence confirms the conjecture made previously that differentiable dynamical systems may possess bifractal (self-similar, in two directions) basin boundaries. A procedure how to search for such boundaries in realistic systems is indicated.
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Rössler, O.E., Kahlert, C., Hudson, J.L. (1987). Bi-Fractal Basin Boundaries in Invertible Systems. In: Degn, H., Holden, A.V., Olsen, L.F. (eds) Chaos in Biological Systems. NATO ASI Series, vol 138. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9631-5_30
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DOI: https://doi.org/10.1007/978-1-4757-9631-5_30
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