A Farey staircase from the two-extremum return map of a Josephson junction

被引：8

作者：

Botha, A. E. ^{[1
]}

Shukrinov, Yu. M. ^{[2
]}

Kolahchi, M. R. ^{[3
]}

机构：

[1] Univ S Africa, Dept Phys, Sci Campus,Private Bag X6, ZA-1710 Florida Pk, South Africa

[2] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia

[3] Inst Adv Studies Basic Sci, Dept Phys, Zanjan 451951159, Iran

来源：

NONLINEAR DYNAMICS | 2016年 / 84卷 / 03期

关键词：

Two-extremum return map; Blue-sky catastrophe; Josephson junction; Farey staircase; BLUE-SKY CATASTROPHE; MIXED-MODE OSCILLATIONS; DEVILS STAIRCASE; ELECTROCHEMICAL SYSTEM; CALCIUM OSCILLATIONS; DISSIPATIVE SYSTEMS; INTEGRAL MANIFOLDS; CA2+ OSCILLATIONS; DYNAMICAL-SYSTEMS; CIRCUIT ANALYSIS;

D O I：

10.1007/s11071-015-2574-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We report the presence of a Farey staircase in the simulated current-voltage characteristics between the second and third harmonic steps of an underdamped Josephson junction under external electromagnetic radiation. The steps constituting the staircase are interrupted by chaotic intervals. The dynamics is due to a two-extremum return map and is not associated with phase locking on an invariant torus. On decreasing the current, the third harmonic step ends in the bifurcation known as blue-sky catastrophe.

引用

页码：1363 / 1372

页数：10

共 4 条

[1] A Farey staircase from the two-extremum return map of a Josephson junction
A. E. Botha
Yu. M. Shukrinov
M. R. Kolahchi
Nonlinear Dynamics, 2016, 84 : 1363 - 1372
[2] Coherent amplification of radiation from two phase-locked Josephson junction arrays
Galin, Mikhail A.
Krasnov, Vladimir M.
Shereshevsky, Ilya A.
Vdovicheva, Nadezhda K.
Kurin, Vladislav V.
BEILSTEIN JOURNAL OF NANOTECHNOLOGY, 2022, 13 : 1445 - 1457
[3] Return map quantization from an integrate-and-fire model with two periodic inputs
Torikai, H
Saito, T
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1999, E82A (07) : 1336 - 1343
[4] Superconductor-insulator crossover in Josephson junction arrays due to reduction from two to one dimension
Takahide, Yamaguchi
Miyazaki, Hisao
Ootuka, Youiti
PHYSICAL REVIEW B, 2006, 73 (22)

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