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 | Zendy

Chen Tang | Zendy; Hao Zhang | Zendy; Haiqing Yan | Zendy; Guimin Zhang | Zendy

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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

Author(s) -

Chen Tang,

Hao Zhang,

Haiqing Yan,

Guimin Zhang

Publication year - 2003

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.52.1091

Subject(s) - chaotic , computer science , nonlinear system , numerical integration , algorithm , mathematics , physics , mathematical analysis , artificial intelligence , quantum mechanics

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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