SD oscillator, the attractor and their applications

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume20
Issue number5
Publication statusPublished - Oct 2007

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oscillators
saddles
discontinuity
Orbits
nonlinearity
orbits

Keywords

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

ASJC Scopus subject areas

  • Civil and Structural Engineering

Cite this

SD oscillator, the attractor and their applications. / Cao, Qing Jie; Wiercigroch, M.; Pavlovskaia, E. E.; Grebogi, C.; Thompson, J. M T.

In: Zhendong Gongcheng Xuebao/Journal of Vibration Engineering, Vol. 20, No. 5, 10.2007, p. 454-458.

Research output: Contribution to journalArticle

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