Extreme multistability in a Josephson-junction-based circuit

Area of Science:

• Electrical Engineering
• Condensed Matter Physics
• Nonlinear Dynamics

Background:

• Josephson junctions are fundamental superconducting devices exhibiting nonlinear behavior.
• Understanding multistability is crucial for designing complex electronic systems.
• Periodic forcing can induce complex dynamics in nonlinear systems.

Purpose of the Study:

• To design and analyze an electrical circuit incorporating a Josephson junction.
• To investigate the phenomenon of extreme multistability in this circuit.
• To explore the relationship between circuit parameters and system dynamics.

Main Methods:

• Design of an electrical circuit featuring a Josephson junction.
• Application of periodic forcing to the circuit.
• Mathematical modeling and analysis of the circuit's state equations.
• Investigation of system attractors under varying initial conditions.

Main Results:

• The designed circuit exhibits extreme multistability.
• The circuit's state equations resemble a known Josephson junction model.
• The presence of two additional current sources alongside the junction's nonlinear source was identified.
• A large number of distinct attractors were observed, dependent on initial conditions.

Conclusions:

• The proposed circuit design effectively demonstrates extreme multistability in Josephson junction systems.
• The findings highlight the potential for complex dynamics and numerous attractors in superconducting circuits.
• This research contributes to the understanding of nonlinear phenomena in electronic components.