Intermingled basins for the triangle map
1996 ◽
Vol 16
(4)
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pp. 651-662
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Keyword(s):
Open Set
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AbstractA family of quadratic maps of the plane has been found numerically for certain parameter values to have three attractors, in a triangular pattern, with ‘intermingled’ basins. This means that for every open set S, if the basin of attraction of one of the attractors intersects S in a set of positive Lebesgue measure, then so do the other two basins. In this paper we mathematically verify this observation for a particular parameter, and prove that our results hold for a set of parameters with positive Lebesgue measure.
2009 ◽
Vol 19
(03)
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pp. 1043-1049
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2003 ◽
Vol 13
(09)
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pp. 2623-2640
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Keyword(s):
2014 ◽
1997 ◽
Vol 07
(02)
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pp. 423-429
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