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Improved Adjoint Operator Method and Normal Form of Nonlinear Dynamical System Li Junjun1,a, Liu Xiaoqing2,b, Yang Shizhu1,c 1Shijiazhuang Institute of Railway Technology, Shijiazhuang 050041, China 2Shijiazhuang Tiedao University Sifang College, Shijiazhuang 050043, China alijunjun919@126.com, bliuxiaoqing629@126.com, cyangshizhu123@126.com Keywords: improved adjoint operator, normal form, nonlinear dynamical system Abstract.
References [1] Tian R L, Zhang Q H, He, X J, Calculation of coefficients of simplest normal forms of Hopf and generalized Hopf bifurcations, Transactions of Tianjin University, 13(1), 2007: 18-22
[2] Ruilan Tian, the simplest normal form and electromechanical coupling nonlinear bifurcation, chaos research: [Ph.D.Thesis ], Tianjin; Tianjin University, 2008 [3] W.

Xue,Maryland University of America Fitch Chen,Zhongshan University Organizing Chairs: X.H Zhan,Nanjing university of Aeronautics David Yang,Wuhan University of Technology Organizing Committee: Z.P.
Huang,Huazhong university of science and technology Helen Li,Yangtze university Sara He,Wuhan textile university Jack Ma,Wuhan textile university George Liu,Huaxia college Wuhan Polytechnic University Hanley Wang,Wuchang University of Technology Diana Yu,Huazhong university of science and technology Anna Tian,Wuchang University of Technology Fitch Chen,Zhongshan University David Bai,Nanjing university of technology Y.

Xue,Maryland University of America Fitch Chen,Zhongshan University Organizing Chairs: X.H Zhan,Nanjing university of Aeronautics David Yang,Wuhan University of Technology Organizing Committee: Z.P.
Huang,Huazhong university of science and technology Helen Li,Yangtze university Sara He,Wuhan textile university Jack Ma,Wuhan textile university George Liu,Huaxia college Wuhan Polytechnic University Hanley Wang,Wuchang University of Technology Diana Yu,Huazhong university of science and technology Anna Tian,Wuchang University of Technology Fitch Chen,Zhongshan University David Bai,Nanjing university of technology Y.

Xue, Maryland University of America Fitch Chen, Zhongshan University Organizing Chairs: X.H Zhan, Nanjing university of Aeronautics David Yang, Wuhan University of Technology Organizing Committee: Z.P.
Huang, Huazhong university of science and technology Helen Li, Yangtze university Sara He, Wuhan textile university Jack Ma, Wuhan textile university George Liu, Huaxia college Wuhan Polytechnic University Hanley Wang, Wuchang University of Technology Diana Yu, Huazhong university of science and technology Anna Tian, Wuchang University of Technology Fitch Chen, Zhongshan University David Bai, Nanjing university of technology Y.

Xue, Maryland University of America Fitch Chen, Zhongshan University Organizing Chairs: X.H Zhan, Nanjing university of Aeronautics David Yang, Wuhan University of Technology Organizing Committee: Z.P.
Huang, Huazhong university of science and technology Helen Li, Yangtze university Sara He, Wuhan textile university Jack Ma, Wuhan textile university George Liu, Huaxia college Wuhan Polytechnic University Hanley Wang, Wuchang University of Technology Diana Yu, Huazhong university of science and technology Anna Tian, Wuchang University of Technology Fitch Chen, Zhongshan University David Bai, Nanjing university of technology Y.

Analysis on Axial Magnetic Force of Permanent Axial Bearing by Axial Magnetized Man Fana , Xiping Wangb, Wei Li, Li Guo, Yumin Yang Research Institute of Bearings, Shanghai Universal, Shanghai China, 200072 a fanman2006@163.com, b xpwang@mail.shu.edu.cn Keywords: Permanent magnet; axial stiffness; equivalent magnetic charge method; quadruplicate integral; Finite element method (FEM) Abstract.
[2] Jia Dongfang: The Exploratory and Research for the Rotor Structure and Suspension Mechanism of Entire Permanent Magnetic Bearing, Shanghai: Shanghai University, 2010 [3] Tian Feng,Wang XiPing,Guo Li,Yang YuMin: Wu han ISMB12, (2010)8
[4] JIA Dongfang, LI Wenpeng, WANG Xiping, TIAN Feng, Qian Jin: Machine Design and Research, 4 (2010) [5] Sun Ming Li, Hu Ren Xi.ANSYS10.0 Applied Instruction of Electromagnetic Finite Analysis, Mechanics and Manufacture Publisher, Beijing 2007 [6] Pranab Samanta, Harish Hirani, Magnetic Bearing Configurations: IEEE TRANSACTIONS ON MAGNETICS, 2 (2008) 2 [7] Huang Ming hui, Yang An quan,Yang Feng li: Mechanical Research & Application, 2(2005)4 [8] Tan Qingchang, Liu Mingjie, Meng Huiqin, Xiu Shichao: Tribology, 10(1994)12 [9] ZHANG Junhong, SUN Shaojun, GUO Junhu: Machine Tool and Hydraulics, 3 (2005)23-27 [10] WANG Hongchang, JIANG Shuyun, LIANG Yufei: Journal Of Mechanical Engineering, 5 (2009)17-25

Jie Liang, Ligong Zhang, Li Lin proposed a segmentation algorithm based on HSI model and region growing [3].Aiping Jiang, Yu Yang also provided a new forest fire image segmentation algorithm which combines multi-fractal and Contourlet transform.
Yang Liu and Xiaojian Tian et al proposed a kind of local fractal dimension method for infrared cloud image.
References [1] Jiagui Yang: Da Zhong Ke Ji Vol. 44, Number 8(2011), p. 97(in Chinese) [2] Hua Li, Fengjun Zhao, Pengyu Chen: FOREST FIRE PREVENTION Vol. 9, No. 3(2011), p. 25(in Chinese) [3] Jie Liang, Lihong Zhang, Lin Li: COMPUTER TECHNOLOGY AND DEVELOPMENT Vol. 22, No. 1(2012), p. 191(in Chinese) [4] Aiping Jiang, Yang Yu: Chinese Journal of Scientific Instrument Vol. 31, No. 4(2010), p. 818(in Chinese) [5] Xiaoling Yan, Liming Wang, Leping Bu: Journal of Data Acquisition & Processing Vol. 27, No. 3(2012), p. 368(in Chinese) [6] Xiangang Jiang, Qing Liang, Tao Shen: Journal of East China Jiao Dong University Vol. 28, No. 4(2011), p. 14 (in Chinese) [7] Baoxia Cui, Hong Wang, Yong Duan: Journal of Shenyang University of Technology Vol. 32, No.1(2010), p. 75(in Chinese) [8] Junshan Liang, Huiqin Wang, Yan Hu: Computer Engineering Vol. 38, No. 4(2012), p. 196(in Chinese) [9] Yang Liu, Xiaojian Tian, Qing Wang: Optics and Precision Engineering Vol. 19, No. 6(2011), p. 1367(in Chinese

Yang Chao etc. based on Timoshenko beam theory, the non-simplified 4-equation model [7] and extended 14-equation model [8] is derived.
ASME Journal of Fluids Engineering, 1987, 100: 161-165 [6] Lixiang Zhang，Ke Yang， Wenhu Huang.
[7] Chao Yang, Menglin Yi.
[8] Yang Chao, Fan Shijuan.
[9] Lingxia Yang, Shuhui Li, Yongmei Hou, Ruqin Fan.

Tian, Z.
Yang, X.
Yang, D.
Yang, J.
Tian,b H.

References [1] Xin Fu, Haibo Xie and Huayong Yang: PROCESS IN NATURAL SCIENCE Vol. 15 (2005), p. 336-342 [2] Nuttawut Lewpiriyawong, Chun Yang, and Yee Cheong Lam: American Institute of Physics Biomicrofluidics 2 (2008) 034105 [3] Sung Jae Kim, Leon D.
Tsinghua Univ (Sci & Tech) Vol. 50(2010), p. 1974-1977,1982 [5] Wei Wang, Li Tian, Zhiyong Bao, et al: Chinese Journal of Sensors and Actuators Vol. 19 (2006), p. 2018-2021 [6] Xiaowei Liu, Wei Wang, Li Tian, et al: ZL: 200510127395.2. (2005) [7] Wei Wang, Shaofeng Li and Li Tian: ISPEMI2010