Analysis of the overdamping character of a linear oscillator;

The critical damping characteristics of a linear oscillator was analyzed based on energy method and the conclusion obtained is that the linear oscillator at critical damping state can pass the balance site once under specific condition,the force of the oscillator possesses the“critical property”and the energy E(t) curve of the oscillator is the fastest convergent.

After analysing the linear oscillator in the overdamping states,it is concluded that under the special initial conditions the linear oscillator can cross the position of equilibrium only once;but under the other special initial conditions,it can come back the position of equilibrium at the fastest speed.

This paper studies chaotic motions in a nonlinear oscillatory system perturbed by external harmonic force and bounded noise excitation.

Formulas of period versus amplitude relation are obtained for nonlinear oscillators from the energy integral.

In this paper, we study a class of nonlinear oscillators with parametric and forcing excitation.

Then the idea is illustrated using the example of one-dimensional harmonic oscillator.

In this paper,we suggest a new method for the solution of schrdinger equation of linear harmonic oscillator.

This paper demonstrates the quantum solutions of linear harmonic oscillator and q-deformed harmonic oscillator.

In this paper,the series solution and the operator method of linear harmonic oscillator are discussed.

This paper presents an efficient numerical scheme for calculating the periodic motion of a harmonically forced piecewise linear oscillator very accurately.

The store separated from the wing is treated as piecewise linear oscillator with clearance under harmonic excitation.