Mutual locking, chaos and devils staircase in two Josephson tunnel junctions with a common resistive shunt

Conference · Wed Mar 01 04:00:00 EST 1989 · IEEE Trans. Magn.; (United States)

OSTI ID:6090713

Jensen, H D; Larsen, A; Mygind, J; Levinsen, M T

The authors have studied the phase-locking in a pair of individually biased, resistively and capacitively shunted Josephson junctions, coupled by a common resistive or capacitive shunt, on an analog computer. Under certain conditions locking is found to occur at all rational frequency ratios. A critical line is found in parameter space along which the steps form a complete devils staircase having a fractal dimension of 0.87. Beyond the critical line bifurcations occur on all steps following the Feigenbaum sequence to chaos. The Feigenbaum constants are recovered to a fair accuracy. Preliminary experiments with two Josephson tunnel junctions shunted on the chip by a gold-indium film are discussed.

• Research Organization: Danish Institute of Fundamental Metrology, Lundtoftevej 100, Bld.322, DK 2800 Lyngby (DK); 2011000
• OSTI ID: 6090713
• Report Number(s): CONF-880812-
• Conference Information: Journal Name: IEEE Trans. Magn.; (United States) Journal Volume: 25:2
• Country of Publication: United States
• Language: English

Related Subjects

420201* -- Engineering-- Cryogenic Equipment & Devices
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALOG COMPUTERS
COMPUTERS
DATA
ELECTRONIC CIRCUITS
ELEMENTS
EXPERIMENTAL DATA
FREQUENCY SELECTION
GOLD
INDIUM
INFORMATION
INTEGRATED CIRCUITS
JOSEPHSON JUNCTIONS
JUNCTIONS
METALS
MICROELECTRONIC CIRCUITS
MODE LOCKING
NUMERICAL DATA
SUPERCONDUCTING JUNCTIONS
TRANSITION ELEMENTS
TUNNELING