Mechanism of Chaos Induced by the Periodic Driving Octupole Deformation

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

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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[2]	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.
[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]	SONG Jian-Jun , LI Xi-Guo , LIU Fang , LI Shu-Wei . Periodic Orbits and Trace Formula-Integrable Systems. Chinese Physics C, 2001, 25(9): 872-876.
[6]	GUO JianYou , RUAN TuNan , XU FuXin . Collective Motion of a pure Octupole Deformed System. Chinese Physics C, 2000, 24(12): 1194-1198.
[7]	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.
[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]	Fu Jinghua , Liu Lianshou , Wu Yuanfang . On the Intermittency and Chaos in High energy Collisions. Chinese Physics C, 1999, 23(7): 738-744.
[12]	Zhu Lingyan , Zhu Shengjiang , Li Ming . Octupole Deformation in Neutron-rich ^144,146Ce Nuclei. Chinese Physics C, 1998, 22(10): 885-890.
[13]	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.
[14]	Qian Chengde . Effects of Positive-Parity States Octupole Correlations for Even-Even Nuclei in Rotational Regions. Chinese Physics C, 1994, 18(5): 473-480.
[15]	YANG Xian-Jun , FAN Xi-Pei . State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential. Chinese Physics C, 1992, 16(5): 431-438.
[16]	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.
[17]	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.
[18]	HOU Ren-Chang , ZHAO Xuan . QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING. Chinese Physics C, 1983, 7(2): 236-244.
[19]	WEI KAI-YU . THE BEAM ENVELOP ANALYSIS FOR NONPERIODIC SYSTEMS. Chinese Physics C, 1981, 5(3): 328-333.
[20]	ZHOU LI-NONG , XIE JIA-LIN . A BI-PERIODIC ACCELERATOR STRUCTURE. Chinese Physics C, 1979, 3(2): 165-175.

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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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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.