The Superconducting QUantum Interference Device (SQUID) is a highly nonlinear oscillator. It has been studied for many years and it has found numerous applications in magnetic field sensors, in biomagnetism, in non-destructive evaluation, and gradiometers, among others.
When driven by a time-periodic magnetic flux, the SQUID exhibits extreme multistability at frequencies around the geometric resonance which is manifested by a “snake-like” form of the resonance curve. We will present our recent results the emergent collective dynamics of two-coupled SQUID oscillators, which involves a rich dynamical behavior, including chaos, where in the presence of a dc flux, multiple bifurcation sequences and secondary resonance branches appear at frequencies above and below the geometric resonance.