Cubic polynomials with a parabolic point
2010 ◽
Vol 30
(6)
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pp. 1843-1867
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Keyword(s):
AbstractWe consider cubic polynomials with a simple parabolic fixed point of multiplier 1. For those maps, we prove that the boundary of the immediate basin of attraction of the parabolic point is a Jordan curve (except for the polynomial z+z3 where it consists in two Jordan curves). Moreover, we give a description of the dynamics and obtain the local connectivity of the Julia set under some assumptions.
2014 ◽
Vol 35
(7)
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pp. 2171-2197
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Keyword(s):
2000 ◽
Vol 20
(6)
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pp. 1859-1883
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Keyword(s):
2010 ◽
Vol 30
(6)
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pp. 1869-1902
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Keyword(s):
2016 ◽
Vol 38
(2)
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pp. 583-600
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Keyword(s):
2013 ◽
Vol 35
(1)
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pp. 274-292
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Keyword(s):
1996 ◽
Vol 16
(6)
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pp. 1323-1343
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Keyword(s):
2009 ◽
Vol 13
(05)
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pp. 110-123
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Keyword(s):
1990 ◽
Vol 10
(2)
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pp. 209-229
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Keyword(s):