Modeling the Direct Transition to Turbulence -- Dynamical Systems and the Transition to Turbulence -- Nonlinear Solutions of Simple Plane Shear Layers with and without a System Rotation -- Co-Supporting Cycle: Sustaining Mechanism of Large-Scale Structures and Near-Wall Structures in Channel Flow Turbulence -- Transition Threshold and the Self-Sustaining Process -- Turbulent-Laminar Patterns in…
Part I: Modeling of mechanical systems; Introductory examples and problems; Linear and multilinear algebra; Differential geometry; Simple mechanical control systems; Lie groups, systems on groups, and symmetries -- Part II: Analysis of mechanical control systems; Stability; Controllability; Low-order controllability and kinematic reduction ; Perturbation analysis -- Part III: A sampling of desi…