Результаты исследований: Научные публикации в периодических изданиях › статья
Partial hyperbolicity and central shadowing. / Kryzhevich, S.; Tikhomirov, S.
в: Discrete and Continuous Dynamical Systems, Том 33, № 7, 2013, стр. 2901-2909.Результаты исследований: Научные публикации в периодических изданиях › статья
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TY - JOUR
T1 - Partial hyperbolicity and central shadowing
AU - Kryzhevich, S.
AU - Tikhomirov, S.
PY - 2013
Y1 - 2013
N2 - We study shadowing property for partially hyperbolic diffeomorphisms $f$. It is proved that if $f$ is dynamically coherent then any pseudotrajectory can be shadowed by a pseudotrajectory with ``jumps'' along central foliation. The proof is based on the Tikhonov-Shauder fixed point theorem.
AB - We study shadowing property for partially hyperbolic diffeomorphisms $f$. It is proved that if $f$ is dynamically coherent then any pseudotrajectory can be shadowed by a pseudotrajectory with ``jumps'' along central foliation. The proof is based on the Tikhonov-Shauder fixed point theorem.
KW - partial hyperbolicity
KW - center foliation
KW - Lipschitz shadowing
KW - dynamical coherence
U2 - 10.3934/dcds.2013.33.2901
DO - 10.3934/dcds.2013.33.2901
M3 - Article
VL - 33
SP - 2901
EP - 2909
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
SN - 1078-0947
IS - 7
ER -
ID: 7376539