On a shadowing lemma in metric spaces
Mathematica Bohemica (1992)
- Volume: 117, Issue: 2, page 137-149
- ISSN: 0862-7959
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topŽáčik, Tibor. "On a shadowing lemma in metric spaces." Mathematica Bohemica 117.2 (1992): 137-149. <http://eudml.org/doc/29062>.
@article{Žáčik1992,
abstract = {In the present paper conditions are studied, under which a pseudo-orbit of a continuous map $f:M\rightarrow M$, where $M$ is a metric space, is shadowed, in a more general sense, by an accurate orbit of the map $f$.},
author = {Žáčik, Tibor},
journal = {Mathematica Bohemica},
keywords = {shadowing property; shadowing lemma; pseudo-orbit; shadowing property; shadowing lemma; pseudo-orbit},
language = {eng},
number = {2},
pages = {137-149},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a shadowing lemma in metric spaces},
url = {http://eudml.org/doc/29062},
volume = {117},
year = {1992},
}
TY - JOUR
AU - Žáčik, Tibor
TI - On a shadowing lemma in metric spaces
JO - Mathematica Bohemica
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 117
IS - 2
SP - 137
EP - 149
AB - In the present paper conditions are studied, under which a pseudo-orbit of a continuous map $f:M\rightarrow M$, where $M$ is a metric space, is shadowed, in a more general sense, by an accurate orbit of the map $f$.
LA - eng
KW - shadowing property; shadowing lemma; pseudo-orbit; shadowing property; shadowing lemma; pseudo-orbit
UR - http://eudml.org/doc/29062
ER -
References
top- D. V. Anosov, Geodesic flows on compact Riemannian manifolds of negative curvatuгe, (in Russian), Pгoc. Steklov Inst. Math. 90 (1967), 3-209 English transl., Ameг. Math. Soc. Tгans. (1969). (1967) MR0224110
- R. Bowen, 10.1016/0022-0396(75)90065-0, J. Diff. Eq. 18 (1975), 333-339. (1975) MR0413181DOI10.1016/0022-0396(75)90065-0
- S. N. Chow X. D. Lin K. J. Palmer, A shadowing lemma with applications to semilinear parabolic equations, SIAM J. Math. Anal. 20 (1989). (1989) MR0990862
- S. N. Chow K. J. Palmer, The accuгacy of numeгically computed oгbits of dynamical systems, to appear.
- E. M. Coven I. Kan J. A. Yorke, 10.1090/S0002-9947-1988-0946440-2, Trans. Amer. Math. Soc. 308 (1988), 227-247. (1988) MR0946440DOI10.1090/S0002-9947-1988-0946440-2
- I. Ekeland, 10.7146/math.scand.a-12005, Math. Scand. 52 (262-268). Zbl0515.58026MR0702957DOI10.7146/math.scand.a-12005
- J. E. Franke J. Ғ. Selgrade, Hyperbolicity and chain recurгence, Ј. Diff. Eq. 26(1977), 27-36. (1977) MR0467834
- S. M. Hammel J. A. Yorke C. Grebogi, 10.1016/0885-064X(87)90024-0, Ј. Complexity 3 (1987), 136-145. (1987) MR0907194DOI10.1016/0885-064X(87)90024-0
- S. M. Hammel J. A. Yorke C. Grebogi, 10.1090/S0273-0979-1988-15701-1, Bull. Ameг. Math. Soc. 19 (1988), 465-470. (1988) MR0938160DOI10.1090/S0273-0979-1988-15701-1
- K. R. Meyer G. R. Sell, An analytic proof of the shadowing lemma, Funkcialaj Ekvacioj 30 (1987), 127-133. (1987) MR0915267
- K. J. Palmer, 10.1007/978-3-322-96656-8_5, Dynamic Reported 1 (1988), 265-306. (1988) Zbl0676.58025MR0945967DOI10.1007/978-3-322-96656-8_5
- C. Robinson, 10.1216/RMJ-1977-7-3-425, Rocky Mount. Ј. Math. 7 (1977), 425-437. (1977) MR0494300DOI10.1216/RMJ-1977-7-3-425
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