Homoclinic and Chaotic Transitions in the RF (Radio Frequency) Superconducting Quantum Interference Device (SQUID).

摘要

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. Reprints. (rrh)