The Research of Chebyshev Chaos Mapping Method to Mechanism Synthesis
2011 ◽
Vol 467-469
◽
pp. 416-420
Keyword(s):
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 property of chaos serials produced by Chebyshev chaos mappings was analyzed. For the first time, a new method to find all solutions based on utilizing Chebyshev chaos mappings to obtain locate initial points to find all solutions of the nonlinear questions was proposed. The numerical examples in linkage synthesis and approximate synthesis show that the new method is correct and effective.
2011 ◽
Vol 467-469
◽
pp. 411-415
2011 ◽
Vol 467-469
◽
pp. 407-410
2011 ◽
Vol 55-57
◽
pp. 688-691
2011 ◽
Vol 204-210
◽
pp. 79-82
Keyword(s):
2012 ◽
Vol 155-156
◽
pp. 420-423
2011 ◽
Vol 204-210
◽
pp. 160-164
2011 ◽
Vol 204-210
◽
pp. 169-173
2010 ◽
Vol 20-23
◽
pp. 670-675
2013 ◽
Vol 364
◽
pp. 24-27
2011 ◽
Vol 55-57
◽
pp. 1009-1012