A Simplest Example: Solving the Problem about a Pendulum with a Vibrating Axis of Suspension by Different Methods of the Theory of Nonlinear Oscillations

The following sections are included:

• Preliminary Remarks

• Equation of Motion

• The Poincare-Lyapunov Method of Small Parameter

• The use of Floquet-Lyapunov's Theory and of Ince-Strutt's Diagram

• Asymptotic Method

• Method of Multiple Scales

• Methods of Harmonic Balance and of Bubnov—Galerkin

• Method of Direct Separation of Motions

• Discussion