Fundamental Structure of General Stochastic Dynamical Systems: High-Dimension Case

Author

Haoyu Wang
Xiaoliang Gan
Wenqing Hu, Missouri University of Science and TechnologyFollow
Ping Ao

Abstract

No one has proved that mathematically general stochastic dynamical systems have a special structure. Thus, we introduce a structure of a general stochastic dynamical system. According to scientific understanding, we assert that its deterministic part can be decomposed into three significant parts: the gradient of the potential function, friction matrix and Lorenz matrix. Our previous work proved this structure for the low-dimension case. In this paper, we prove this structure for the high-dimension case. Hence, this structure of general stochastic dynamical systems is fundamental.

Recommended Citation

H. Wang et al., "Fundamental Structure of General Stochastic Dynamical Systems: High-Dimension Case," Journal of Mathematics, vol. 2022, article no. 2596074, Hindawi, Jan 2022.

The definitive version is available at https://doi.org/10.1155/2022/2596074

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

2314-4785; 2314-4629

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2022 The Authors, All rights reserved.

Creative Commons Licensing

This work is licensed under a Creative Commons Attribution 4.0 License.

Publication Date

01 Jan 2022