Positive Sequence Topological Entropy Characterizes Chaotic Maps

1991 ◽  
Vol 112 (4) ◽  
pp. 1083 ◽  
Author(s):  
N. Franzova ◽  
J. Smital
Keyword(s):  
Topological Entropy ◽  
Chaotic Maps ◽  
Positive Sequence

scholarly journals Strange triangular maps of the square

1995 ◽  
Vol 51 (3) ◽  
pp. 395-415 ◽  
Author(s):  
G.L. Forti ◽  
L. Paganoni ◽  
J. Smítal
Keyword(s):  
Topological Entropy ◽  
Chaotic Maps ◽  
Dimensional Case ◽  
Positive Sequence ◽  
Minimal Set ◽  
One Dimensional ◽  
Zero Sequence ◽  
The One ◽  
Triangular Maps

We show that continuous triangular maps of the square I1, F: (x, y) → (f(x), g(x, y)), exhibit phenomena impossible in the one-dimensional case. In particular: (1) A triangular map F with zero topological entropy can have a minimal set containing an interval {a} × I, and can have recurrent points that are not uniformly recurrent; this solves two problems by S.F. Kolyada.(2) In the class of mappings satisfying Per(F) = Fix(F), there are non-chaotic maps with positive sequence topological entropy and chaotic maps with zero sequence topological entropy.

scholarly journals Smooth chaotic maps with zero topological entropy

1988 ◽  
Vol 8 (3) ◽  
pp. 421-424 ◽  
Author(s):  
M. Misiurewicz ◽  
J. Smítal
Keyword(s):  
Topological Entropy ◽  
Chaotic Maps

AbstractWe find a class of C∞ maps of an interval with zero topological entropy and chaotic in the sense of Li and Yorke.

scholarly journals Topological entropy of Devaney chaotic maps

2003 ◽  
Vol 133 (3) ◽  
pp. 225-239 ◽  
Author(s):  
Francisco Balibrea ◽  
L'ubomír Snoha
Keyword(s):  
Topological Entropy ◽  
Chaotic Maps

scholarly journals Transitive dendrite map with zero entropy

2016 ◽  
Vol 37 (7) ◽  
pp. 2077-2083 ◽  
Author(s):  
JAKUB BYSZEWSKI ◽  
FRYDERYK FALNIOWSKI ◽  
DOMINIK KWIETNIAK
Keyword(s):  
Topological Entropy ◽  
Chaotic Maps ◽  
Dendrite Map ◽  
Zero Entropy ◽  
Weakly Mixing ◽  
Entropy Estimates

Hoehn and Mouron [Hierarchies of chaotic maps on continua. Ergod. Th. & Dynam. Sys.34 (2014), 1897–1913] constructed a map on the universal dendrite that is topologically weakly mixing but not mixing. We modify the Hoehn–Mouron example to show that there exists a transitive (even weakly mixing) dendrite map with zero topological entropy. This answers the question of Baldwin [Entropy estimates for transitive maps on trees. Topology40(3) (2001), 551–569].

Author response for "A PID SRF‐PLL based algorithm for positive‐sequence synchrophasor measurements"

2020 ◽  
Author(s):  
Gabriel U. Carvalho ◽  
Gustavo W. Denardin ◽  
Rafael Cardoso ◽  
Flavio L. Grando
Keyword(s):  
Author Response ◽  
Positive Sequence

Multi-level Security Based On Dynamic Magic Cube And Chaotic Maps

2017 ◽  
pp. 106
Author(s):  
Dhaher Abass Redha ◽  
Marwa Mohamed ali Mohsen
Keyword(s):  
Chaotic Maps ◽  
Multi Level ◽  
Magic Cube
Sign in / Sign up

Export Citation Format

Share Document