Homoclinic and chaotic transitions in the rf (radio frequency) superconducting quantum interference device (SQUID). Presentation paper

Technical Report · Thu Jun 01 00:00:00 EDT 1989

OSTI ID:6909202

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

We consider a simple model of the flux in an rf superconducting quantum-interference device (SQUID) 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. These terms are then introduced as perturbations, and the Melnikov function for the system is constructed. The transition from periodic to chaotic behavior is studied through a calculation of the Lyapunov exponents for the systems, and the dimension of the strange attracting set is calculated.

• Research Organization: Naval Ocean Systems Center, San Diego, CA (USA)
• OSTI ID: 6909202
• Report Number(s): AD-A-217163/5/XAB
• Country of Publication: United States
• Language: English

Related Subjects

426001* -- Engineering-- Superconducting Devices & Circuits-- (1990-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
DISTURBANCES
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ELECTRONIC EQUIPMENT
EQUIPMENT
FLUXMETERS
FUNCTIONS
LYAPUNOV METHOD
MAGNETIC FIELDS
MEASURING INSTRUMENTS
MICROWAVE EQUIPMENT
PHYSICAL PROPERTIES
QUANTUM ELECTRONICS
RESPONSE FUNCTIONS
RF SYSTEMS
SQUID DEVICES
SUPERCONDUCTING DEVICES
SUPERCONDUCTIVITY