The Study of Identification Method for Dynamic Behavior of High-Dimensional Nonlinear System

Author:

Fang Pan12ORCID,Dai Liming3ORCID,Hou Yongjun12ORCID,Du Mingjun2ORCID,Luyou Wang4

Affiliation:

1. Southwest Petroleum University, Key Laboratory of Oil &Gas Equipment, Ministry of Education, Cheng Du 610500, China

2. Southwest Petroleum University, School of Mechanical and Electrical Engineering, Cheng Du 610500, China

3. University of Regina, Engineering and the Applied Sciences, Regina S4S0A2, Canada

4. Yumen Oilfield Branch of China National Petroleum Corporation, Jiu Quan 735000, China

Abstract

The dynamic behavior of nonlinear systems can be concluded as chaos, periodicity, and the motion between chaos and periodicity; therefore, the key to study the nonlinear system is identifying dynamic behavior considering the different values of the system parameters. For the uncertainty of high-dimensional nonlinear dynamical systems, the methods for identifying the dynamics of nonlinear nonautonomous and autonomous systems are treated. In addition, the numerical methods are employed to determine the dynamic behavior and periodicity ratio of a typical hull system and Rössler dynamic system, respectively. The research findings will develop the evaluation method of dynamic characteristics for the high-dimensional nonlinear system.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Mechanical Engineering,Mechanics of Materials,Geotechnical Engineering and Engineering Geology,Condensed Matter Physics,Civil and Structural Engineering

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