FRACTAL AGGREGATION OF BASIN ISLANDS IN TWO-DIMENSIONAL QUADRATIC NONINVERTIBLE MAPS
1995 ◽
Vol 05
(04)
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pp. 991-1019
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Keyword(s):
Properties of basins of noninvertible maps of the plane are studied by using the method of critical curves. The paper considers the simplest class of quadratic maps, that having a phase plane made up of two regions, one with two first rank preimages, the other with no preimage, in situations different from those described in a previous publication. More specifically, the considered quadratic maps give rise to a basin made up of infinitely many nonconnected regions, a parameter variation leading to an aggregation of these regions, which occur in a fractal way. The nonconnected regions, different from that containing an attracting set, are called "islands".
1994 ◽
Vol 04
(02)
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pp. 343-381
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Keyword(s):
1998 ◽
Vol 08
(11)
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pp. 2147-2189
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Keyword(s):
1999 ◽
Vol 09
(10)
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pp. 1995-2025
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Keyword(s):
2001 ◽
Vol 6
(2)
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pp. 69-99
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2001 ◽
Vol 11
(03)
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pp. 821-839
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Keyword(s):
2005 ◽
Vol 15
(05)
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pp. 1625-1639
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Keyword(s):
2003 ◽
Vol 13
(04)
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pp. 905-933
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