A new oscillator which is named SD oscillator is proposed. The perturbed attractors are called SD attractors. The dynamics of this oscillator depend on the smooth varying for a smooth parameter α. This oscillator is of strong non-linearity providing an example of transient from smooth dynamics to the one of discontinuity. The standard dynamics of double-well can be seen for the smooth system, which is similar with Duffing system. In addition to the standard dynamics, the discontinuous system behaves non-standard dynamics which is known as the saddle-like singularity and homoclinic-like orbit.
|Number of pages||5|
|Journal||Zhendong Gongcheng Xuebao/Journal of Vibration Engineering|
|Publication status||Published - Oct 2007|
- Homoclinic-like orbit
- Lyapunov exponent
- Saddle-like equilibrium
- SD attractor