Smooth Linearizability of Some Hyperbolic Vector Fields

Acta Scientiarum Naturalium Universitatis Pekinensis

Smooth Linearizability of Some Hyperbolic Vector Fields

REN Zhihua

School of Mathematical Sciences, Peking University, Beijing, 100871

Received:2002-12-05 Online:2004-01-20 Published:2004-01-20

一类双曲向量场的光滑线性化

任志华

北京大学数学科学学院，北京，100871

Abstract

Abstract: It is studied that smooth linearizability and finitely smooth linearizability of some hyperbolic vector fields.

Key words: resonance, upper resonance, low resonance, vector fields, linearization

摘要： 讨论了一类向量场X(x)=Ax+… 在双曲奇点附近的光滑线性化及有限阶光滑线性化问题。

关键词: 共振, 上共振, 下共振, 向量场, 线性化

CLC Number:

O175

REN Zhihua. Smooth Linearizability of Some Hyperbolic Vector Fields[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

任志华. 一类双曲向量场的光滑线性化[J]. 北京大学学报（自然科学版）.

[1]	CHEN Hui, ZHANG Jialin, JU Jing, GAO Shuai, FAN Chunlin, ZHANG Zijuan. Discrimination of Ripe, Unripe and Processed Rape Honey Based on Nuclear Magnetic Resonance Method with Chemometrics [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2021, 57(4): 614-622.
[2]	LI Xiaonan, LIU Guoqiang, ZHANG Laifu, WANG Zhipeng, DING Guangxin, ZHAO Shilong, XIA Hui. Research on Transformer Oil Aging by Nuclear Magnetic Resonance Spectroscopy of Relaxation Time [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2019, 55(5): 865-870.
[3]	Jibo ZHANG, Kehuan LINGHU, Qianhong WU, Ruijuan NIE, Fengmei YU, Furen WANG. Superconducting Quantum Interference Device Detection of Acoustic Nuclear Resonance of Slight Metal Oxidation of the Inner Surface of Enclosed Lead Metal Shield [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2017, 53(5): 801-809.
[4]	WANG Xiaowei,SUN Yanghui,WANG Wei,ZHU Rui,ZHU Xinli,HOU Yumin. Studies on Improving the PL Spectra of ZnO Nanowire [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2012, 48(3): 367-370.
[5]	XU Guanjie,YU Zengqiang,YIN Lan. Phase Diagram of an Ultracold Homogeneous Spin-Polarized Fermi Gas around the Tricritical Point at Resonance [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2010, 46(1): 7-11.
[6]	WANG Pai,DONG Shuo,ZHOU Lezhu,XIA Mingyao. Using Multilevel Fast Multipole Algorithm to Analyze Electromagnetic Scattering in Resonance Region of 3-D Complex Objects [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2006, 42(3): 395-400.
[7]	ZHU Shuguang,XU Anshi,LI Zhengbin,WU Deming,WANG Dapeng. Characteristics Analysis of the Fiber Optic Gyroscope with Double Fiber Ring Resonators [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2004, 40(3): 367-371.
[8]	LI Shourong,YAO Shouquan. The Application of Magnetodynamic Resonance in Magnetostrictive Weak Magnetic Fiber Optic Sensor [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2002, 38(3): 329-333.
[9]	PEI Renjun,WANG Erkang,YANG Xiurong. Studies on Amplified Assay of Surface Plasmon Resonance Immunosensing [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2001, 37(2): 186-191.
[10]	KANG Xiaofeng,CHENG Guangjin,DONG Shaojun. In Situ Electrochemical SPR Study on Electropolymerization Process [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2001, 37(2): 157-160.
[11]	CHEN Jiong,LIU Shikuo. A Barotropic Quasi-geostrophic Model with Large-scale Orography, Friction and Heating [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 1999, 35(1): 74-80.

Smooth Linearizability of Some Hyperbolic Vector Fields

一类双曲向量场的光滑线性化

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 11

Recommended Articles

Metrics