More details on the devil's staircase route to chaos (negative resistance oscillator)

1989 ◽  
Vol 36 (1) ◽  
pp. 146-148 ◽  
Author(s):  
J. Luprano ◽  
M. Hasler
Keyword(s):  
Negative Resistance ◽  
Devil's Staircase ◽  
Devil’S Staircase ◽  
Route To Chaos

scholarly journals On the Amplitude of External Perturbation and Chaos via Devil's Staircase — Stability of Attractors

2015 ◽  
Vol 25 (11) ◽  
pp. 1550145 ◽  
Author(s):  
Sadataka Furui ◽  
Tomoyuki Takano
Keyword(s):  
Electric Current ◽  
External Perturbation ◽  
Sinusoidal Oscillation ◽  
Hidden Attractors ◽  
Devil's Staircase ◽  
Frequency Dependent ◽  
Farey Sequences ◽  
Devil’S Staircase ◽  
Chaotic Circuits ◽  
Route To Chaos

We designed a chaotic memristive circuit proposed by Chua and Muthuswamy, and analyzed the behavior of the voltage of the capacitor, electric current in the inductor and the voltage of the memristor by adding an external sinusoidal oscillation of a type γω cos ωt to [Formula: see text], when [Formula: see text] is expressed by y(t)/C, and studied Devil's staircase route to chaos. We compared the frequency of the driving oscillation fs and the frequency of the response fd in the window and assigned W = fs/fd to each window. When capacitor C = 1.0, we observe stable attractors of Farey sequences [Formula: see text], which can be interpreted as hidden attractors, while when C = 1.2, we observe disturbed attractors. Frequency dependent stability of chaotic circuits due to octonions is discussed.

NMR spectra and relaxation in incommensurate systems in the presence of a devil's staircase

1985 ◽  
Vol 46 (7) ◽  
pp. 1205-1209 ◽  
Author(s):  
R. Blinc ◽  
S. Žumer ◽  
D.C. Ailion ◽  
J. Nicponski
Keyword(s):  
Nmr Spectra ◽  
Devil's Staircase ◽  
Devil’S Staircase

Phenomenology of a Devil's Staircase

1992 ◽  
Vol 3 (2) ◽  
pp. 231-250
Author(s):  
D. G. Sannikov
Keyword(s):  
Devil's Staircase ◽  
Devil’S Staircase

Devil's-staircase behavior of a simple spin model

1981 ◽  
Vol 24 (5) ◽  
pp. 2744-2750 ◽  
Author(s):  
E. B. Rasmussen ◽  
S. J. Knak Jensen
Keyword(s):  
Spin Model ◽  
Devil's Staircase ◽  
Devil’S Staircase

A multiple devil's staircase in a discontinuous map

1997 ◽  
Vol 231 (3-4) ◽  
pp. 152-158 ◽  
Author(s):  
Shi-Xian Qu ◽  
Shunguang Wu ◽  
Da-Ren He
Keyword(s):  
Devil's Staircase ◽  
Devil’S Staircase ◽  
Discontinuous Map

scholarly journals Devil's staircase for nonconvex interactions

2000 ◽  
Vol 50 (3) ◽  
pp. 307-311 ◽  
Author(s):  
J Jędrzejewski ◽  
J Miękisz
Keyword(s):  
Devil's Staircase ◽  
Devil’S Staircase ◽  
Nonconvex Interactions
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