Research output: Contribution to journal › Article › peer-review
Diffeomorphisms of multidimensional space with infinite set of stable periodic points. / Vasil'eva, E. V.
In: Vestnik St. Petersburg University: Mathematics, Vol. 45, No. 3, 01.07.2012, p. 115-124.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Diffeomorphisms of multidimensional space with infinite set of stable periodic points
AU - Vasil'eva, E. V.
PY - 2012/7/1
Y1 - 2012/7/1
N2 - Multidimensional diffeomorphisms with a hyperbolic fixed point and its homoclinic point are considered. It is shown that the neighborhood of the homoclinic point can contain an infinite set of stable periodic points whose characteristic exponents are bounded away from zero.
AB - Multidimensional diffeomorphisms with a hyperbolic fixed point and its homoclinic point are considered. It is shown that the neighborhood of the homoclinic point can contain an infinite set of stable periodic points whose characteristic exponents are bounded away from zero.
KW - diffeomorphism of a multidimensional space
KW - homoclinic points
KW - stable periodic points
UR - http://www.scopus.com/inward/record.url?scp=84866147662&partnerID=8YFLogxK
U2 - 10.3103/S1063454112030077
DO - 10.3103/S1063454112030077
M3 - Article
AN - SCOPUS:84866147662
VL - 45
SP - 115
EP - 124
JO - Vestnik St. Petersburg University: Mathematics
JF - Vestnik St. Petersburg University: Mathematics
SN - 1063-4541
IS - 3
ER -
ID: 39987055