Access the full text.
Sign up today, get DeepDyve free for 14 days.
J. Xiong (1986)
A CHAOTIC MAP WITH TOPOLOGICAL ENTROPYActa Mathematica Scientia, 6
Maryam Mirzakhani (2010)
Introduction to Ergodic theory
Piotr Kościelniak, M. Mazur (2007)
Chaos and the shadowing propertyTopology and its Applications, 154
P Walters (1982)
An Introduction to Ergodic Theory. Graduate Texts in Mathematics
U. Kirchgraber, D. Stoffer (1989)
On the Definition of ChaosZamm-zeitschrift Fur Angewandte Mathematik Und Mechanik, 69
Noriaki Kawaguchi (2016)
Entropy points of continuous maps with the sensitivity and the shadowing propertyTopology and its Applications, 210
X. Ye, Guohua Zhang (2007)
Entropy points and applicationsTransactions of the American Mathematical Society, 359
T. Moothathu (2011)
Implications of pseudo-orbit tracing property for continuous maps on compactaTopology and its Applications, 158
Jian Li, P. Oprocha (2016)
Properties of invariant measures in dynamical systems with the shadowing propertyErgodic Theory and Dynamical Systems, 38
E Akin (1993)
The General Topology of Dynamical Systems. Graduate Studies in Mathematics, 1
N. Aoki, K. Hiraide (1994)
Topological theory of dynamical systems
SY Pilyugin (1999)
Shadowing in Dynamical Systems. Lecture Notes in Mathematics
E. Akin (1993)
The general topology of dynamical systems
Jian Li, P. Oprocha (2013)
Shadowing Property, Weak Mixing and Regular RecurrenceJournal of Dynamics and Differential Equations, 25
J. Smítal (1986)
Chaotic functions with zero topological entropyTransactions of the American Mathematical Society, 297
青木 統夫, 平出 耕一 (1994)
Topological theory of dynamical systems : recent advances
R Bowen (1975)
Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. Lecture Notes in Mathematics
C. Morales (2015)
Shadowable pointsDynamical Systems, 31
S. Smale (1967)
Differentiable dynamical systemsBulletin of the American Mathematical Society, 73
David Richeson, J. Wiseman (2008)
Chain recurrence rates and topological entropyTopology and its Applications, 156
J Xiong (1986)
A chaotic map with topological entropy zeroActa Math. Sci., 6
W. Brian, J. Meddaugh, Brian Raines (2014)
Chain transitivity and variations of the shadowing propertyErgodic Theory and Dynamical Systems, 35
R. Bowen (1975)
Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
S. Pilyugin (1999)
Shadowing in dynamical systems
E. Akin, M. Hurley, J. Kennedy (2003)
Dynamics of Topologically Generic Homeomorphisms
Louis Block, J. Keesling (2004)
A characterization of adding machine mapsTopology and its Applications, 140
François Blanchard, Eli Glasner, Sergii Kolyada, A. Maass (2002)
On Li-Yorke pairsJournal für die reine und angewandte Mathematik (Crelles Journal), 2002
P. Kurka (2003)
Topological and symbolic dynamics
T. Downarowicz (2005)
Survey of odometers and Toeplitz flows
T. Moothathu, P. Oprocha (2013)
Shadowing, entropy and minimal subsystemsMonatshefte für Mathematik, 172
Noriaki Kawaguchi (2017)
Quantitative shadowable pointsDynamical Systems, 32
We extend the study on shadowable points recently introduced by Morales in relation to chaotic or non-chaotic properties. Firstly, some sufficient conditions for a quantitative shadowable point to be approximated by an entropy point are given. As a corollary, we get different three chaotic conditions from which a shadowable point becomes an entropy point. Secondly, we provide a dichotomy on the interior of the set of shadowable chain recurrent points by two canonical chaotic and non-chaotic dynamics, the full shift and odometers.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Mar 24, 2017
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.