Two-Dimensional Hyper-Chaotic Mapping Interval Newton Iterative Method to Mechanism Synthesis

Abstract:

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Mechanism synthesis questions can be transformed into nonlinear equations to be found. Interval Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. The characteristic of hyper-chaotic sequences produced by two dimensional hyper-chaotic discrete systems was analyzed. Making use of the advantage of giving rigorous bounds for the exact solution, for the first time, combining hyper-chaos sequences and interval Newton iteration with Krawczyk operator, a new method to find all solutions was proposed. The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.

Info:

Periodical:

Advanced Materials Research (Volumes 230-232)

Edited by:

Ran Chen and Wenli Yao

Pages:

764-768

DOI:

10.4028/www.scientific.net/AMR.230-232.764

Citation:

Y. X. Luo and B. Zeng, "Two-Dimensional Hyper-Chaotic Mapping Interval Newton Iterative Method to Mechanism Synthesis", Advanced Materials Research, Vols. 230-232, pp. 764-768, 2011

Online since:

May 2011

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Price:

$35.00

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