FRACTALIZATION OF BASIN BOUNDARY IN TWO-DIMENSIONAL NONINVERTIBLE MAPS
1999 ◽
Vol 09
(10)
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pp. 1995-2025
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Keyword(s):
Properties of the basins of a two-dimensional noninvertible degenerated map is studied using the method of critical curves. More precisely, this paper considers a cubic map that belongs to the class of maps having the plane subdivided by the branches of the critical curve in three regions, two nonconnected with one preimage, the other with three distinct preimages. The fractalization of the basin of such an endomorphism is described.
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):
1995 ◽
Vol 05
(04)
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pp. 991-1019
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Keyword(s):
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):
2001 ◽
Vol 6
(2)
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pp. 69-99
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