ON GEOMETRICAL PROPERTIES OF TWO-DIMENSIONAL DIFFEOMORPHISMS WITH HOMOCLINIC TANGENCIES
1995 ◽
Vol 05
(03)
◽
pp. 819-829
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Keyword(s):
Two-dimensional diffeomorphisms with a quadratic tangency of invariant manifolds of a saddle fixed point are considered in the cases where the saddle value σ is either less than 1 or equal to it. A description of the structure of hyperbolic subsets is given. In the case σ=1, it is shown that almost all such diffeomorphisms admit the complete description in distinction with the case σ<1.
1993 ◽
Vol 132
◽
pp. 73-89
2017 ◽
Vol 27
(09)
◽
pp. 1730030
◽
1991 ◽
Vol 155
(2)
◽
pp. 393-412
◽
Keyword(s):
2017 ◽
Vol 12
(1)
◽
pp. 41-61
◽
2018 ◽
Vol 28
(04)
◽
pp. 1830011
2015 ◽
Vol 25
(11)
◽
pp. 1530030
◽
Keyword(s):
2005 ◽
Vol 15
(02)
◽
pp. 151-166
Keyword(s):