Nonlinear evolution of unstable solar inertial modes: The case of viscous modes on a differentially rotating sphere
This paper investigates the nonlinear evolution of the Sun's most prominent high-latitude inertial mode () on a differentially rotating sphere, demonstrating through direct numerical simulations that it undergoes a supercritical Hopf bifurcation where Reynolds stresses smooth the differential rotation to saturate the instability at amplitudes comparable to solar observations.