Generating Functions for Volume-preserving Mappings and Hamilton-Jacobi Equations for Source-free Dynamical Systems

被引：0

作者：

尚在久

机构：

[1] Academia Sinica

[2] Institute of Mathematics

[3] Beijing 100080

[4] PRC

来源：

Science China Mathematics | 1994年 / 10期

关键词：

volume-preserving mappings; generating functions; source-free systems; Hamilton-Jacobi equations;

D O I：

暂无

中图分类号：

O19 [动力系统理论];

学科分类号：

070104 ; 0711 ; 071101 ;

摘要：

The general generating function theory for volume-preserving mappings and Hamilton-Jacobi theory for source-free systems are developed.

引用

页码：1172 / 1188

页数：17

共 14 条

[1] Generating Functions for Volume-preserving Mappings and Hamilton-Jacobi Equations for Source-free Dynamical Systems
尚在久
[J]. Science in China,Ser.A., 1994, Ser.A.1994 (10) - 1188
[2] GENERATING-FUNCTIONS FOR VOLUME-PRESERVING MAPPINGS AND HAMILTON-JACOBI EQUATIONS FOR SOURCE-FREE DYNAMICAL-SYSTEMS
SHANG, ZJ
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES, 1994, 37 (10): : 1172 - 1188
[3] VOLUME-PRESERVING ALGORITHMS FOR SOURCE-FREE DYNAMICAL-SYSTEMS
FENG, K
SHANG, ZJ
[J]. NUMERISCHE MATHEMATIK, 1995, 71 (04) : 451 - 463
[4] CONSTRUCTION OF VOLUME-PRESERVING DIFFERENCE-SCHEMES FOR SOURCE-FREE SYSTEMS VIA GENERATING-FUNCTIONS
SHANG, ZJ
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 1994, 12 (03) : 265 - 272
[5] Volume-preserving maps, source-free systems and their local structures
Shang, Zai-Jiu
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (19): : 5601 - 5615
[6] CONSTRUCTION OF VOLUME-PRESERVING DIFFERENCE SCHEMES FOR SOURCE-FREE SYSTEMS VIA GENERETING FUNCTIONS
[J]. Journal of Computational Mathematics, 1994, (03) : 265 - 272
[7] Approximate Solutions to the Hamilton-Jacobi Equations for Generating Functions
Zhiwei Hao
Kenji Fujimoto
Qiuhua Zhang
[J]. Journal of Systems Science and Complexity, 2020, 33 : 261 - 288
[8] Approximate Solutions to the Hamilton-Jacobi Equations for Generating Functions
Hao, Zhiwei
Fujimoto, Kenji
Zhang, Qiuhua
[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 33 (02) : 261 - 288
[9] Approximate Solutions to the Hamilton-Jacobi Equations for Generating Functions
HAO Zhiwei
FUJIMOTO Kenji
ZHANG Qiuhua
[J]. Journal of Systems Science & Complexity, 2020, 33 (02) : 261 - 288
[10] VPNets: Volume-preserving neural networks for learning source-free dynamics
Zhu, Aiqing
Zhu, Beibei
Zhang, Jiawei
Tang, Yifa
Liu, Jian
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 416

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