Hydrodynamic instabilities and the transition to turbulence

Topics in hydrodynamic instability and the transition to turbulence covered include strange attractors and turbulence; hydrodynamic stability and bifurcation, with attention to the Navier-Stokes equations; chaotic behavior and fluid dynamics, with reference to the Lorenz equations and Landau's idea; and the transition to turbulence in Rayleigh-Benard convection. Also considered are instabilities and transition flow between concentric rotating cylinders; shear flow instabilities and transition; instabilities in geophysical fluid dynamics; and instabilities and chaos in nonhydrodynamic systems, such as those of the Rikitake dynamo model for the earth's magnetic field and the Belousov-Zhabotinskii chemical reaction.