Homoclinic chaos in the rf superconducting quantum-interference device

Journal Article · Sun May 01 00:00:00 EDT 1988 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.37.3541· OSTI ID:5373313

Schieve, W C; Bulsara, A R; Jacobs, E W

We consider a simple model of the flux in a rf superconducting quantum-interference device (SQUID) ring subjected to an external periodic magnetic field. The dynamic equation describing the flux response of the SQUID is solved analytically in the absence of damping and external driving terms. We then introduce these terms as small perturbations, and construct, for this system, the Melnikov function, the zeros of which indicate the onset of homoclinic behavior. For the parameter values under consideration, excellent agreement is obtained between our theoretical predictions and numerical calculations of the stable and unstable (i.e., time-reversed) solution manifolds. A chaotic attractor is shown to appear somewhat above the homoclinic threshold.

• Research Organization: Max-Planck-Institut fur Quantenoptik, Garching, Federal Republic of Germany
• OSTI ID: 5373313
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 37:9; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
ELECTRONIC EQUIPMENT
EQUIPMENT
FLUXMETERS
FUNCTIONS
INSTABILITY
JOSEPHSON JUNCTIONS
JUNCTIONS
MAGNETIC FLUX
MEASURING INSTRUMENTS
MICROWAVE EQUIPMENT
RESPONSE FUNCTIONS
RF SYSTEMS
SQUID DEVICES
SUPERCONDUCTING DEVICES
SUPERCONDUCTING JUNCTIONS