One-Dimensional Ising Model and the Complete Devil's Staircase

1982 ◽  
Vol 49 (4) ◽  
pp. 249-251 ◽  
Author(s):  
Per Bak ◽  
R. Bruinsma
Keyword(s):  
Ising Model ◽  
Devil's Staircase ◽  
One Dimensional ◽  
Devil’S Staircase

Devil's staircase in a one-dimensional model

1984 ◽  
Vol 30 (11) ◽  
pp. 6489-6497 ◽  
Author(s):  
Amitava Banerjea ◽  
P. L. Taylor
Keyword(s):  
Dimensional Model ◽  
Devil's Staircase ◽  
One Dimensional ◽  
Devil’S Staircase

Ising model with solitons, phasons, and "the devil's staircase"

1980 ◽  
Vol 21 (11) ◽  
pp. 5297-5308 ◽  
Author(s):  
Per Bak ◽  
J. von Boehm
Keyword(s):  
Ising Model ◽  
Devil's Staircase ◽  
Devil’S Staircase

DEVIL'S STAIRCASE OF GAP MAPS

2003 ◽  
Vol 13 (01) ◽  
pp. 115-122 ◽  
Author(s):  
JUNG-CHAO BAN ◽  
CHENG-HSIUNG HSU ◽  
SONG-SUN LIN
Keyword(s):  
Topological Entropy ◽  
Devil's Staircase ◽  
Unimodal Maps ◽  
One Dimensional ◽  
Devil’S Staircase ◽  
Staircase Structure ◽  
Entropy Functions ◽  
Kneading Theory

This study demonstrates the devil's staircase structure of topological entropy functions for one-dimensional symmetric unimodal maps with a gap inside. The results are obtained by using kneading theory and are helpful in investigating the communication of chaos.

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