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

Conference · Wed Mar 01 00:00:00 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-
• Journal Information: IEEE Trans. Magn.; (United States), Vol. 25:2; Conference: Applied superconductivity conference, San Francisco, CA, USA, 21 Aug 1988
• Country of Publication: United States
• Language: English

Related Subjects

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