Mechanism of Chaos Induced by the Periodic Driving Octupole Deformation

ZHENG Ren-Rong; ZHU Shun-Quan; JIN Hua; LI Jun-Qing

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2004, Vol. 28> Issue(S1) : 105-107

Mechanism of Chaos Induced by the Periodic Driving Octupole Deformation

Department of Physics, Shanghai Normal University, Shanghai, 200234, China2 Shanghai Commercial College, Shanghai 201400, China3 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

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Abstract：
The eigen values of the linear equations near the reference solutions of Hamiltonian-canonical equation are given by autonomy the time factor. It is demonstrated that the periodic time factor in octupole potential provides the particle to have more opportunity to encounter the negative curvature of the potential surface. Therefore the particle will be easier to get chaos, according to the discrimination of the motions for regulation and chaos.

References

[1]

. LI Jun-Qing, LIU Fang. The Chaotic Phenomena in Octupole Deformation Field, Journal of Qindao University (Supp.), 1997, 50 (in Chinese)(李君清, 刘芳. 八极形变谐振子势场中的混沌现象, 青岛大学学报(增刊), 1997, 50)2.LIU Bin-Zheng. Nonlinear Dynamics and the Bases of Chaos, Changchun: China Northeast Normal University Press, 1994. 37-39 (in Chinese)(刘秉正. 非线性动力学与混沌基础. 长春: 东北师范大学出版社, 1994. 37-39)

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ZHENG Ren-Rong, ZHU Shun-Quan, JIN Hua and LI Jun-Qing. Mechanism of Chaos Induced by the Periodic Driving Octupole Deformation[J]. Chinese Physics C, 2004, 28(S1): 105-107.

ZHENG Ren-Rong, ZHU Shun-Quan, JIN Hua and LI Jun-Qing. Mechanism of Chaos Induced by the Periodic Driving Octupole Deformation[J]. Chinese Physics C, 2004, 28(S1): 105-107. shu

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Received: 2004-12-30
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

Mechanism of Chaos Induced by the Periodic Driving Octupole Deformation

Corresponding author: ZHENG Ren-Rong,

Department of Physics, Shanghai Normal University, Shanghai, 200234, China2 Shanghai Commercial College, Shanghai 201400, China3 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

Received Date: 2004-12-30
Accepted Date: 1900-01-01
Available Online: 2004-04-02

Abstract: The eigen values of the linear equations near the reference solutions of Hamiltonian-canonical equation are given by autonomy the time factor. It is demonstrated that the periodic time factor in octupole potential provides the particle to have more opportunity to encounter the negative curvature of the potential surface. Therefore the particle will be easier to get chaos, according to the discrimination of the motions for regulation and chaos.