Noise Effects on birhythmic Josephson Junction coupled to a Resonator

Abstract

We study the effect of noise on a Josephson junction that, coupled to a linear $RLC$ resonator, can oscillate at two frequencies. To establish the global stability of the attractors, we estimate the position of the separatrix, an essential information to establish the stability of the attractor for this multidimensional system, from the analysis of the mean first passage time. We find that the frequency locked to the resonator is most stable at low bias, and less stable at high bias, where the resonator exhibits the largest oscillations. The change in the birhythmic region is dramatic, for the effective barrier changes of an order of magnitude and the corresponding lifetime of about seven decades.

References in corpus (10)

• Coherent THz emission of Bi_2Sr_2CaCu_2O_8 intrinsic Josephson junction stacks in the hot spot regime
• Supernarrow Spectral Peaks and High Frequency Stochastic Resonance in Systems with Coexisting Periodic Attractors
• Activated escape of periodically driven systems
• Global stability analysis of birhythmicity in a self-sustained oscillator
• Self-organized stable pacemakers near the onset of birhythmicity
• Effective Fokker-Planck Equation for Birhythmic Modified van der Pol Oscillator
• Birhythmicity, Synchronization, and Turbulence in an Oscillatory System with Nonlocal Inertial Coupling
• Synchronization of One Dimensional Array of Point Josephson Junctions Coupled to a Common Load
• Networks of Josephson junctions and their synchronization
• High Q Cavity Induced Fluxon Bunching in Inductively Coupled Josephson Junctions

Cited by in corpus (8)

• Control of birhythmicity: A self-feedback approach
• Interplay between Detection Strategies and Stochastic Resonance Properties
• Detection of signals in presence of noise through Josephson junction switching currents
• Noise and disorder effects in a series of birhythmic Josephson junctions coupled to a resonator
• Stochastic first passage time accelerated with CUDA
• Can Lèvy noise induce coherence and stochastic resonances in a birhythmic van der Pol system?
• Lévy noise induced transitions and enhanced stability in a birhythmic van der Pol system
• Dependence of the maximal superconducting current on resonance frequency in shunted Josephson junction