scholarly journals Phase Locking, Devil's Staircases, Farey Trees, and Arnold Tongues in Driven Vortex Lattices with Periodic Pinning

1999 ◽  
Vol 82 (2) ◽  
pp. 414-417 ◽  
Author(s):  
C. Reichhardt ◽  
Franco Nori
Keyword(s):  
Phase Locking ◽  
Periodic Pinning ◽  
Vortex Lattices ◽  
Arnold Tongues ◽  
Farey Trees

scholarly journals Phase-locking of driven vortex lattices with transverse ac force and periodic pinning

2001 ◽  
Vol 64 (13) ◽  
Author(s):  
Charles Reichhardt ◽  
Alejandro B. Kolton ◽  
Daniel Domínguez ◽  
Niels Grønbech-Jensen
Keyword(s):  
Phase Locking ◽  
Periodic Pinning ◽  
Vortex Lattices

scholarly journals Phase-locking of vortex lattices interacting with periodic pinning

2000 ◽  
Vol 61 (18) ◽  
pp. R11914-R11917 ◽  
Author(s):  
Charles Reichhardt ◽  
Richard T. Scalettar ◽  
Gergely T. Zimányi ◽  
Niels Grønbech-Jensen
Keyword(s):  
Phase Locking ◽  
Periodic Pinning ◽  
Vortex Lattices

Probing the dynamic response of antivortex, interstitial and trapped vortex lattices on magnetic periodic pinning potentials

2013 ◽  
Vol 26 (8) ◽  
pp. 085018 ◽  
Author(s):  
A Gomez ◽  
E M Gonzalez ◽  
D A Gilbert ◽  
M V Milošević ◽  
Kai Liu ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Periodic Pinning ◽  
Vortex Lattices ◽  
Trapped Vortex

QUASIPERIODICITY AND CHAOS IN THE DC–DC BUCK–BOOST CONVERTER

2000 ◽  
Vol 10 (02) ◽  
pp. 359-371 ◽  
Author(s):  
ABDELALI EL AROUDI ◽  
LUIS BENADERO ◽  
ELIEZER TORIBIO ◽  
SALOUA MACHICHE
Keyword(s):  
Bifurcation Diagram ◽  
Phase Locking ◽  
Period Doubling ◽  
Boost Converter ◽  
Nonlinear Phenomena ◽  
Continuous Time Model ◽  
Devil's Staircase ◽  
Time Model ◽  
Devil’S Staircase ◽  
Arnold Tongues

This paper is concerned with the study of nonlinear phenomena in a closed loop voltage-controlled DC–DC Buck–Boost converter when suitable parameters are varied. The dynamics is analyzed using both the continuous-time model and the numerically computed stroboscopic map. The analysis of the one-dimensional bifurcation diagram shows that Neimarck–Sacker bifurcation occurs at certain values of the parameters. Phase-locking periodic windows, the period-adding sequence, and transition from quasiperiodicity to period-doubling via torus breakdown are also obtained. The two-dimensional bifurcation diagram is carefully computed. This shows that phase-locking orbits produce so-called Arnold tongues in the parameter space. It is shown that the winding number plotted as a function of the bifurcation parameter is a devil's staircase. As typically occurs in general circle maps, the fine structures of the Arnold tongues and the devil's staircase show self-similarity.

Disorder effect on melting transitions of vortex lattices with periodic pinning

1998 ◽  
Vol 57 (9) ◽  
pp. 5063-5066 ◽  
Author(s):  
B. Y. Zhu ◽  
Jinming Dong ◽  
D. Y. Xing
Keyword(s):  
Periodic Pinning ◽  
Vortex Lattices ◽  
Disorder Effect ◽  
Melting Transitions

Vortex lattices in different configurations of periodic pinning line-arrays

2006 ◽  
Vol 437-438 ◽  
pp. 184-186
Author(s):  
Cléssio Leão S. Lima ◽  
Leonardo R.E. Cabral ◽  
Clécio C. de Souza Silva ◽  
J. Albino Aguiar
Keyword(s):  
Periodic Pinning ◽  
Vortex Lattices

Shapiro steps in driven vortex lattices interacting with periodic pinning arrays

2000 ◽  
Vol 332 (1-4) ◽  
pp. 1-4 ◽  
Author(s):  
C Reichhardt ◽  
R.T Scalettar ◽  
G.T Zimányi ◽  
N Grønbech-Jensen
Keyword(s):  
Periodic Pinning ◽  
Shapiro Steps ◽  
Vortex Lattices ◽  
Pinning Arrays
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