Hyper-chaotic mapping newton iterative method to mechanism synthesis

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LUO, Youxin ;FAN, Xianfeng ;LI, Dazhi ;WU, Xiao .
Hyper-chaotic mapping newton iterative method to mechanism synthesis. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 54, n.5, p. 372-378, august 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/hyper-chaotic-mapping-newton-iterative-method-to-mechanism-synthesis/>. Date accessed: 17 jun. 2024. 
doi:http://dx.doi.org/.
Luo, Y., Fan, X., Li, D., & Wu, X.
(2008).
Hyper-chaotic mapping newton iterative method to mechanism synthesis.
Strojniški vestnik - Journal of Mechanical Engineering, 54(5), 372-378.
doi:http://dx.doi.org/
@article{.,
	author = {Youxin  Luo and Xianfeng  Fan and Dazhi  Li and Xiao  Wu},
	title = {Hyper-chaotic mapping newton iterative method to mechanism synthesis},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {54},
	number = {5},
	year = {2008},
	keywords = {hyper-chaotic systems; linkage mechanism; mechanism synthesis; nonlinear equations; },
	abstract = {The synthesis and approximate synthesis problems for planar mechanism can be transformed into a system of multivariable polynomial equations or general nonlinear equations. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. Based on utilizing multi-start point technique and hyper-chaotic mapping (Hénon hyper-chaotic system) as initial points of Newton iterative method, an innovative new method to find all solutions of general nonlinear equations in kinematics quickly and effectively was proposed. The computing step and method was given. The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.},
	issn = {0039-2480},	pages = {372-378},	doi = {},
	url = {https://www.sv-jme.eu/sl/article/hyper-chaotic-mapping-newton-iterative-method-to-mechanism-synthesis/}
}
Luo, Y.,Fan, X.,Li, D.,Wu, X.
2008 August 54. Hyper-chaotic mapping newton iterative method to mechanism synthesis. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 54:5
%A Luo, Youxin 
%A Fan, Xianfeng 
%A Li, Dazhi 
%A Wu, Xiao 
%D 2008
%T Hyper-chaotic mapping newton iterative method to mechanism synthesis
%B 2008
%9 hyper-chaotic systems; linkage mechanism; mechanism synthesis; nonlinear equations; 
%! Hyper-chaotic mapping newton iterative method to mechanism synthesis
%K hyper-chaotic systems; linkage mechanism; mechanism synthesis; nonlinear equations; 
%X The synthesis and approximate synthesis problems for planar mechanism can be transformed into a system of multivariable polynomial equations or general nonlinear equations. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. Based on utilizing multi-start point technique and hyper-chaotic mapping (Hénon hyper-chaotic system) as initial points of Newton iterative method, an innovative new method to find all solutions of general nonlinear equations in kinematics quickly and effectively was proposed. The computing step and method was given. The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.
%U https://www.sv-jme.eu/sl/article/hyper-chaotic-mapping-newton-iterative-method-to-mechanism-synthesis/
%0 Journal Article
%R 
%& 372
%P 7
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 54
%N 5
%@ 0039-2480
%8 2017-08-21
%7 2017-08-21
Luo, Youxin, Xianfeng  Fan, Dazhi  Li, & Xiao  Wu.
"Hyper-chaotic mapping newton iterative method to mechanism synthesis." Strojniški vestnik - Journal of Mechanical Engineering [Online], 54.5 (2008): 372-378. Web.  17 Jun. 2024
TY  - JOUR
AU  - Luo, Youxin 
AU  - Fan, Xianfeng 
AU  - Li, Dazhi 
AU  - Wu, Xiao 
PY  - 2008
TI  - Hyper-chaotic mapping newton iterative method to mechanism synthesis
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - hyper-chaotic systems; linkage mechanism; mechanism synthesis; nonlinear equations; 
N2  - The synthesis and approximate synthesis problems for planar mechanism can be transformed into a system of multivariable polynomial equations or general nonlinear equations. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. Based on utilizing multi-start point technique and hyper-chaotic mapping (Hénon hyper-chaotic system) as initial points of Newton iterative method, an innovative new method to find all solutions of general nonlinear equations in kinematics quickly and effectively was proposed. The computing step and method was given. The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.
UR  - https://www.sv-jme.eu/sl/article/hyper-chaotic-mapping-newton-iterative-method-to-mechanism-synthesis/
@article{{}{.},
	author = {Luo, Y., Fan, X., Li, D., Wu, X.},
	title = {Hyper-chaotic mapping newton iterative method to mechanism synthesis},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {54},
	number = {5},
	year = {2008},
	doi = {},
	url = {https://www.sv-jme.eu/sl/article/hyper-chaotic-mapping-newton-iterative-method-to-mechanism-synthesis/}
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TY  - JOUR
AU  - Luo, Youxin 
AU  - Fan, Xianfeng 
AU  - Li, Dazhi 
AU  - Wu, Xiao 
PY  - 2017/08/21
TI  - Hyper-chaotic mapping newton iterative method to mechanism synthesis
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 54, No 5 (2008): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - hyper-chaotic systems, linkage mechanism, mechanism synthesis, nonlinear equations, 
N2  - The synthesis and approximate synthesis problems for planar mechanism can be transformed into a system of multivariable polynomial equations or general nonlinear equations. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. Based on utilizing multi-start point technique and hyper-chaotic mapping (Hénon hyper-chaotic system) as initial points of Newton iterative method, an innovative new method to find all solutions of general nonlinear equations in kinematics quickly and effectively was proposed. The computing step and method was given. The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.
UR  - https://www.sv-jme.eu/sl/article/hyper-chaotic-mapping-newton-iterative-method-to-mechanism-synthesis/
Luo, Youxin, Fan, Xianfeng, Li, Dazhi, AND Wu, Xiao.
"Hyper-chaotic mapping newton iterative method to mechanism synthesis" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 54 Number 5 (21 August 2017)

Avtorji

Inštitucije

  • Hunan University of Arts and Sciences, Department of Mechanical Engineering, People's Republic of China
  • University of Ottawa, Department of Mechanical Engineering, Canada
  • Hunan University of Arts and Sciences, Department of Mechanical Engineering, People's Republic of China
  • Hunan University of Arts and Sciences, Department of Mechanical Engineering, People's Republic of China

Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 54(2008)5, 372-378
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.

The synthesis and approximate synthesis problems for planar mechanism can be transformed into a system of multivariable polynomial equations or general nonlinear equations. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. Based on utilizing multi-start point technique and hyper-chaotic mapping (Hénon hyper-chaotic system) as initial points of Newton iterative method, an innovative new method to find all solutions of general nonlinear equations in kinematics quickly and effectively was proposed. The computing step and method was given. The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.

hyper-chaotic systems; linkage mechanism; mechanism synthesis; nonlinear equations;