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

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-dime...

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Main Authors: Pan Fang, Liming Dai, Yongjun Hou, Mingjun Du, Wang Luyou
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2019/3497410
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spelling doaj-ab5de4adeca643dabb76f7658760e39a2020-11-25T02:21:25ZengHindawi LimitedShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/34974103497410The Study of Identification Method for Dynamic Behavior of High-Dimensional Nonlinear SystemPan Fang0Liming Dai1Yongjun Hou2Mingjun Du3Wang Luyou4Southwest Petroleum University, Key Laboratory of Oil &Gas Equipment, Ministry of Education, Cheng Du 610500, ChinaUniversity of Regina, Engineering and the Applied Sciences, Regina S4S0A2, CanadaSouthwest Petroleum University, Key Laboratory of Oil &Gas Equipment, Ministry of Education, Cheng Du 610500, ChinaSouthwest Petroleum University, School of Mechanical and Electrical Engineering, Cheng Du 610500, ChinaYumen Oilfield Branch of China National Petroleum Corporation, Jiu Quan 735000, ChinaThe 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.http://dx.doi.org/10.1155/2019/3497410
collection DOAJ
language English
format Article
sources DOAJ
author Pan Fang
Liming Dai
Yongjun Hou
Mingjun Du
Wang Luyou
spellingShingle Pan Fang
Liming Dai
Yongjun Hou
Mingjun Du
Wang Luyou
The Study of Identification Method for Dynamic Behavior of High-Dimensional Nonlinear System
Shock and Vibration
author_facet Pan Fang
Liming Dai
Yongjun Hou
Mingjun Du
Wang Luyou
author_sort Pan Fang
title The Study of Identification Method for Dynamic Behavior of High-Dimensional Nonlinear System
title_short The Study of Identification Method for Dynamic Behavior of High-Dimensional Nonlinear System
title_full The Study of Identification Method for Dynamic Behavior of High-Dimensional Nonlinear System
title_fullStr The Study of Identification Method for Dynamic Behavior of High-Dimensional Nonlinear System
title_full_unstemmed The Study of Identification Method for Dynamic Behavior of High-Dimensional Nonlinear System
title_sort study of identification method for dynamic behavior of high-dimensional nonlinear system
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2019-01-01
description 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.
url http://dx.doi.org/10.1155/2019/3497410
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