SD oscillator, the attractor and their applications

Qing Jie Cao*, M. Wiercigroch, E. E. Pavlovskaia, C. Grebogi, J. M T Thompson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)454-458
Number of pages5
JournalZhendong Gongcheng Xuebao/Journal of Vibration Engineering
Issue number5
Publication statusPublished - Oct 2007


  • Homoclinic-like orbit
  • Lyapunov exponent
  • Saddle-like equilibrium
  • SD attractor


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