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The free-item extrapolated multistep method for precise integration of a nonline ar system and its application in the digital analysis of a chaotic system

Tang Chen Zhang Hao Yan Hai-Qing Zhang Gui-Min

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The free-item extrapolated multistep method for precise integration of a nonline ar system and its application in the digital analysis of a chaotic system

Tang Chen, Zhang Hao, Yan Hai-Qing, Zhang Gui-Min
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  • The free-item extrapolated multistep method for precise integration is proposedfor a nonlinear system, and the calculation formula for the free-item extrapolated multistep method is obtained. The accuracy of the extrapolated multistep me thod can be improved through increasing the number of extrapolated points; at th e same time, evaluations cannot be increased too much. The precise integration m ethod has been developed and perfected by the present studies. When the method i s applied to a chaotic system, the result is admirable. Numerical calculations s how that the present method is high by accurate and computationally efficient.It has more advantages than the traditional methods in the analysis of a chaotic s ystem.
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  • Abstract views:  6615
  • PDF Downloads:  783
  • Cited By: 0
Publishing process
  • Received Date:  18 July 2002
  • Accepted Date:  09 September 2002
  • Published Online:  20 May 2003

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