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…