Cell mapping methods-beyond global analysis of nonlinear dynamic systems

Jian-Qiao SUN; Fu-Rui XIONG

doi:10.6052/1000-0992-16-027

Volume 47 Issue 1

Feb. 2017

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Jian-Qiao SUN, Fu-Rui XIONG. Cell mapping methods-beyond global analysis of nonlinear dynamic systems[J]. Advances in Mechanics, 2017, 47(1): 150-177. doi: 10.6052/1000-0992-16-027

Citation:

Jian-Qiao SUN, Fu-Rui XIONG. Cell mapping methods-beyond global analysis of nonlinear dynamic systems[J]. Advances in Mechanics, 2017, 47(1): 150-177. doi: 10.6052/1000-0992-16-027

Jian-Qiao SUN, Fu-Rui XIONG. Cell mapping methods-beyond global analysis of nonlinear dynamic systems[J]. Advances in Mechanics, 2017, 47(1): 150-177. doi: 10.6052/1000-0992-16-027

Citation:

Jian-Qiao SUN, Fu-Rui XIONG. Cell mapping methods-beyond global analysis of nonlinear dynamic systems[J]. Advances in Mechanics, 2017, 47(1): 150-177. doi: 10.6052/1000-0992-16-027

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Cell mapping methods-beyond global analysis of nonlinear dynamic systems

doi: 10.6052/1000-0992-16-027

Jian-Qiao SUN^{1
,
,},
Fu-Rui XIONG²

1.
School of Engineering, University of California, Merced, CA 95343, USA
2.
Nuclear Power Institute of China, Chengdu 610041, China

More Information

Corresponding author: Jian-Qiao SUN
Received Date: 2016-08-23
Available Online: 2016-11-02
Publish Date: 2017-02-24

Abstract

Abstract

The cell mapping methods created by Hsu in 1980s have been popular choices for the researchers in nonlinear science communities. There have been new applications and new algorithm developments of the cell mapping methods. This paper presents a discussion of the literature of some control applications and recent algorithm developments of the cell mapping methods. In particular, we present studies of multi-objective optimization problems with the cell mapping methods, multi-objective optimal control designs, and zeros finding of nonlinear algebraic equations. The problems solved with the cell mapping methods are now in moderately high dimensional space with the help of parallel computing.
- cell mapping methods,
- global analysis,
- optimal control,
- multi-objective optimization,
- finding zeros

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References(117)

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