A stimulated Brillouin scattering, SBS, laser gyroscope, comprising: a first input pump laser configured to emit a clockwise, CW, pump signal; a second input pump laser configured to emit a counterclockwise, CCW, pump signal; a first input pump monitor operative to monitor an intensity of the CW pump signal; a second input pump monitor operative to monitor an intensity of the CCW pump signal; and a ring resonator (110, 210, 410) in optical communication with the first pump laser (120, 420) and the second pump laser (124, 424), the ring resonator (110, 210, 410) configured to receive the CW pump signal and the CCW pump signal through an input bus waveguide (130, 230, 430); characterized in that: the ring resonator (110, 210, 410) is in optical communication with a CW transmission port and a CCW transmission port through an output bus waveguide (150, 250, 436), wherein: a power level of the CW pump signal is increased to above a threshold level such that a CCW first-order SBS signal generates a CW second-order SBS signal in the ring resonator (110, 210, 410); the first input pump monitor is operative to maintain the power level of the CW pump signal above the threshold level to generate the CW second-order SBS signal; a power level of the CCW pump signal is increased to above the threshold level such that a CW first-order SBS signal generates a CCW second-order SBS signal in the ring resonator (110, 210, 410); the second input pump monitor is operative to maintain the power level of the CCW pump signal above the threshold level to generate the CCW second-order SBS signal; above the threshold level, the first-order SBS signals are clamped at substantially the same power level; and a Kerr effect bias instability of the SBS laser gyroscope (100, 200, 400) is reduced or eliminated by the clamped first-order SBS signals. a first input pump laser configured to emit a clockwise, CW, pump signal; a second input pump laser configured to emit a counterclockwise, CCW, pump signal; a first input pump monitor operative to monitor an intensity of the CW pump signal; a second input pump monitor operative to monitor an intensity of the CCW pump signal; and a ring resonator (110, 210, 410) in optical communication with the first pump laser (120, 420) and the second pump laser (124, 424), the ring resonator (110, 210, 410) configured to receive the CW pump signal and the CCW pump signal through an input bus waveguide (130, 230, 430); characterized in that: the ring resonator (110, 210, 410) is in optical communication with a CW transmission port and a CCW transmission port through an output bus waveguide (150, 250, 436), wherein: a power level of the CW pump signal is increased to above a threshold level such that a CCW first-order SBS signal generates a CW second-order SBS signal in the ring resonator (110, 210, 410); the first input pump monitor is operative to maintain the power level of the CW pump signal above the threshold level to generate the CW second-order SBS signal; a power level of the CCW pump signal is increased to above the threshold level such that a CW first-order SBS signal generates a CCW second-order SBS signal in the ring resonator (110, 210, 410); the second input pump monitor is operative to maintain the power level of the CCW pump signal above the threshold level to generate the CCW second-order SBS signal; above the threshold level, the first-order SBS signals are clamped at substantially the same power level; and a Kerr effect bias instability of the SBS laser gyroscope (100, 200, 400) is reduced or eliminated by the clamped first-order SBS signals. a power level of the CW pump signal is increased to above a threshold level such that a CCW first-order SBS signal generates a CW second-order SBS signal in the ring resonator (110, 210, 410); the first input pump monitor is operative to maintain the power level of the CW pump signal above the threshold level to generate the CW second-order SBS signal; a power level of the CCW pump signal is increased to above the threshold level such that a CW first-order SBS signal generates a CCW second-order SBS signal in the ring resonator (110, 210, 410); the second input pump monitor is operative to maintain the power level of the CCW pump signal above the threshold level to generate the CCW second-order SBS signal; above the threshold level, the first-order SBS signals are clamped at substantially the same power level; and a Kerr effect bias instability of the SBS laser gyroscope (100, 200, 400) is reduced or eliminated by the clamped first-order SBS signals.