Asymptotic Perturbation Methods -- The Asymptotic Perturbation Method for Nonlinear Oscillators -- The Asymptotic Perturbation Method for Remarkable Nonlinear Systems -- The Asymptotic Perturbation Method for Vibration Control with Time-delay State Feedback -- The Asymptotic Perturbation Method for Vibration Control by Nonlocal Dynamics -- The Asymptotic Perturbation Method for Nonlinear Continuous Systems -- The Asymptotic Perturbation Method for Dispersive Nonlinear Partial Differential Equations -- The Asymptotic Perturbation Method for Physics Problems -- The Asymptotic Perturbation Model for Elementary Particle Physics -- The Asymptotic Perturbation Method for Rogue Waves -- The Asymptotic Perturbation Method for Fractal and Chaotic Solutions -- The Asymptotic Perturbation Method for Nonlinear Relativistic and Quantum Physics -- Cosmology -- Confinement and Asymptotic Freedom in a Purely Geometric Framework -- The Asymptotic Perturbation Method for a Reverse Infinite-Period Bifurcation in the Nonlinear Schrodinger Equation -- Conclusion -- References -- Index