Standard

Partial hyperbolicity and central shadowing. / Kryzhevich, S.; Tikhomirov, S.

In: Discrete and Continuous Dynamical Systems, Vol. 33, No. 7, 2013, p. 2901-2909.

Research output: Contribution to journal › Article

Harvard

Kryzhevich, S & Tikhomirov, S 2013, 'Partial hyperbolicity and central shadowing', Discrete and Continuous Dynamical Systems, vol. 33, no. 7, pp. 2901-2909. https://doi.org/10.3934/dcds.2013.33.2901

APA

Kryzhevich, S., & Tikhomirov, S. (2013). Partial hyperbolicity and central shadowing. Discrete and Continuous Dynamical Systems, 33(7), 2901-2909. https://doi.org/10.3934/dcds.2013.33.2901

Vancouver

Kryzhevich S, Tikhomirov S. Partial hyperbolicity and central shadowing. Discrete and Continuous Dynamical Systems. 2013;33(7):2901-2909. https://doi.org/10.3934/dcds.2013.33.2901

Author

Kryzhevich, S. ; Tikhomirov, S. / Partial hyperbolicity and central shadowing. In: Discrete and Continuous Dynamical Systems. 2013 ; Vol. 33, No. 7. pp. 2901-2909.

BibTeX

@article{d0b28e912b814cc18d0e129e3b93a1a9,
title = "Partial hyperbolicity and central shadowing",
abstract = "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.",
keywords = "partial hyperbolicity, center foliation, Lipschitz shadowing, dynamical coherence",
author = "S. Kryzhevich and S. Tikhomirov",
year = "2013",
doi = "10.3934/dcds.2013.33.2901",
language = "English",
volume = "33",
pages = "2901--2909",
journal = "Discrete and Continuous Dynamical Systems",
issn = "1078-0947",
publisher = "Southwest Missouri State University",
number = "7",

}

RIS

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