Mechanism of Chaos Induced by the Periodic Driving Octupole Deformation

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

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《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

Abstract
HTML
Reference
Related

PDF

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)

[1]	CHEN Yong-Jing , ZHU Sheng-Jiang , CHE Xin-Lai , DING Huai-Bo , LI Ming-Liang . Octupole Deformed Band and Quasi-γ Band in ¹⁴⁶Ce Nucleus. Chinese Physics C, 2006, 30(8): 740-744.
[2]	WU Zhe-Ying , XU Fu-Rong . Octupole Deformation in Even-Even Rn-Th Nuclei. Chinese Physics C, 2006, 30(S2): 78-80.
[3]	FANG Shou-Xian , QIN Qing . Mechanism and Application of the Super-Periodic Structural Resonance in Storage Rings. Chinese Physics C, 2006, 30(9): 880-887.
[4]	JIN Hua , ZHENG Ren-Rong , ZHU Shun-Quan , LI Jun-Qing . Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation. Chinese Physics C, 2006, 30(2): 134-139.
[5]	GUO JianYou , RUAN TuNan , XU FuXin . Collective Motion of a pure Octupole Deformed System. Chinese Physics C, 2000, 24(12): 1194-1198.
[6]	ZHU Sheng-Jiang . Research on Octupole Deformation of Neutron-Rich Odd-A Nuclei and High Spin States of Some Neutron-Deficient Nuclei in A=130 Region. Chinese Physics C, 2000, 24(S1): 14-20.
[7]	ZHU ShengJiang , WANG MuGe , ZHU LingYan , LI Ming , GAN CuiYun , YANG LiMing , M Sakhaee , Pau Sanli , DENG JingKang , LONG GuiLu . Octupole Deformation in Neutron Rich ^145,147 La Nuclei. Chinese Physics C, 2000, 24(5): 418-425.
[8]	GAO Zao-Chun , CHEN Yong-Shou . Reflection Asymmetric Shell Model and Its Description of the Octupole Deformed Bands in Ra Isotopes. Chinese Physics C, 2000, 24(S1): 54-58.
[9]	LIU Fang , LI JunQing , LI XiGuo , LUO YiXiao . Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (Ⅱ) Characteristics of Expectation Values and Uncertainty Measures of Canonical Variables in Space-Temporal Variation of Initial Coherent States. Chinese Physics C, 2000, 24(4): 331-336.
[10]	LI JunQing , LIU Fang , LI XiGuo , LUO YiXiao . Chaotic Motion of a Nucleon in Mean Field Potential with Octupole Deformation (Ⅲ) Study of Probability Density Distribution in Space-Temporal Variation of Initial Coherent States and the Strength of Disturbance. Chinese Physics C, 2000, 24(4): 337-341.
[11]	Liu Fang , Li Xiguo , Li Junqing , Luo Yixiao . Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential. Chinese Physics C, 1999, 23(11): 1108-1114.
[12]	Zhu Lingyan , Zhu Shengjiang , Li Ming . Octupole Deformation in Neutron-rich ^144,146Ce Nuclei. Chinese Physics C, 1998, 22(10): 885-890.
[13]	Li Junqing . Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation. Chinese Physics C, 1997, 21(9): 818-824.
[14]	Ma Yingjun , Zheng Hua , Sun Huibin , Yang Hongting , Zhou Shangui , Ding Yougui , Huo Junde , Liu Yunzuo , Liu Xiangan , Wen Shuxian , Yang Chunxiang . The Deformation-Driving Character of the 1/2^－[541] Orbit in ¹⁷¹Lu. Chinese Physics C, 1996, 20(10): 865-869.
[15]	Qian Chengde . Effects of Positive-Parity States Octupole Correlations for Even-Even Nuclei in Rotational Regions. Chinese Physics C, 1994, 18(5): 473-480.
[16]	SUN Ji , MA Bo-Qiang . RESULTS OBTAINED FROM THE MECHANISM OF QUARK EXCHANGES BETWEEN NUCLEONS IN NUCLEI. Chinese Physics C, 1988, 12(4): 493-500.
[17]	WU Hua-Chuan . THE QUADRUPOLE OPERATOR IN s-d-g MODEL AND THE SPECTRUM OF DEFORMED NUCLEI. Chinese Physics C, 1986, 10(6): 715-719.
[18]	FANG Bao , XIA Ke-Ding , FU De-Ji , XU Gong-Ou . THE STUDY OF QUADRUPOLE MOMENT, OCTUPOLE TRANSITION AND TRANSITION DENSITY OF ²⁰⁸Pb 3^－STATE—— THE APPLICATION OF GENERATOR COORDINATE METHOD (GCM). Chinese Physics C, 1984, 8(4): 461-469.
[19]	HOU Ren-Chang , ZHAO Xuan . QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING. Chinese Physics C, 1983, 7(2): 236-244.
[20]	DI YAO-MIN . OCTUPOLE STATES IN THE SO(6) LIMIT. Chinese Physics C, 1982, 6(2): 208-218.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3825)
PDF Downloads(559)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

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.