Paper Title:
The Research of Two-Dimensional Probability Hyper-Chaotic Mapping Newton Iterative Method to Mechanism Synthesis
  Abstract

Many questions in natural science and engineering are transformed into nonlinear equations to be found. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. The probability characteristic of hyper-chaotic sequences produced by two dimensional hyper-chaotic discrete systems was analyzed. For the first time, a new method to find all solutions based on utilizing two dimensional probability hyper-chaotic discrete mapping to obtain initial points to find all solutions of the nonlinear questions was proposed. The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.

  Info
Periodical
Edited by
Qi Luo
Pages
670-675
DOI
10.4028/www.scientific.net/AMM.20-23.670
Citation
Y. X. Luo, B. Zeng, "The Research of Two-Dimensional Probability Hyper-Chaotic Mapping Newton Iterative Method to Mechanism Synthesis", Applied Mechanics and Materials, Vols. 20-23, pp. 670-675, 2010
Online since
January 2010
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$32.00
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