title: Noise effects on a 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, 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.
authors.affiliation: Department of Physics, Faculty of Science, University of Douala, Box 24, 157 Douala, Cameroon.
authors.forename: R
authors.initials: R
authors.lastname: Yamapi
authors.affiliation: Department of Sciences and Technologies and Salerno Unit of CNISM, University of Sannio, Via Port'Arsa 11, I-82100 Benevento, Italy.
authors.forename: G
authors.initials: G
authors.lastname: Filatrella
mesh_terms: D017076:Computer-Aided Design; D017097:Electric Impedance; D004574:Electromagnetic Fields; D004867:Equipment Design; D019544:Equipment Failure Analysis; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000295:instrumentation* / Q000379:methods*; D012666:Semiconductors