Sharkovskii's theorem for multidimensional perturbations of one-dimensional maps
1999 ◽
Vol 19
(6)
◽
pp. 1655-1684
◽
We present Sharkovskii's theorem for multidimensional perturbations of one-dimensional maps. We show that if an unperturbed one-dimensional map has a point of period $n$, then sufficiently close multidimensional perturbations of this map have periodic points of all periods which are allowed by Sharkovskii's theorem.
1999 ◽
Vol 19
(5)
◽
pp. 1365-1378
◽
1999 ◽
Vol 09
(09)
◽
pp. 1867-1876
◽
Keyword(s):
2014 ◽
Vol 36
(1)
◽
pp. 127-141
◽
1995 ◽
Vol 05
(05)
◽
pp. 1351-1355
Keyword(s):
Keyword(s):