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Merging crisis of chaotic saddle in a Duffing unilateral vibro-impact system

Feng Jin-Qian Xu Wei

Merging crisis of chaotic saddle in a Duffing unilateral vibro-impact system

Feng Jin-Qian, Xu Wei
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  • Received Date:  18 October 2010
  • Accepted Date:  15 April 2011
  • Published Online:  15 August 2011

Merging crisis of chaotic saddle in a Duffing unilateral vibro-impact system

  • 1. School of Science, Xi'an Polytechnic University, Xi'an 710048, China;
  • 2. College of Science, Northwestern Polytechnical University, Xi'an 710072, China

Abstract: A computational investigation of chaotic saddles in a Duffing vibro-impact system is presented. Chaoctic saddle crisis is investigated in a duffing vibro-impact system considered. This crisis is due to the tangency of the stable and unstable manifolds of period saddle connecting two chaotic saddles. The threshold of tangency induces the merging crisis of chaotic saddle, that is, as the system parameter crosses the critical value, a larger boundary chaotic saddle appears due to the merging of two chaotic saddles located on the basin boundary and in the internal basin respectively. In fact, this chaotic saddle crisis is responsible for the merging crisis of chaotic attractors eventually.

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