A new approach to fuzzy modeling of nonlinear dynamic systems with noise: relevance vector learning mechanism

2006 ◽  
Vol 14 (2) ◽  
pp. 222-231 ◽  
Author(s):  
Jongcheol Kim ◽  
Y. Suga ◽  
S. Won
Keyword(s):  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Fuzzy Modeling ◽  
Nonlinear Dynamic Systems ◽  
New Approach ◽  
Learning Mechanism

A Waveform Similarity Approach for Diagnosing Nonlinear Behavior of Vibratory Systems

2020 ◽  
Vol 20 (06) ◽  
pp. 2040012
Author(s):  
Changzhao Qian ◽  
Changping Chen
Keyword(s):  
Lyapunov Exponent ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Behavior ◽  
Nonlinear Dynamic Systems ◽  
Chaotic Motions ◽  
Nonlinear Characteristics ◽  
New Approach ◽  
Duffing System ◽  
Waveform Similarity

A new approach is proposed for diagnosing the nonlinear characteristics of vibratory systems in engineering applications. The correlation coefficient of two periods’ response wave is used in this approach and a new concept named similarity degree of waveform (SDW) is proposed to describe the correlations of the responses and therefore the characteristics of the nonlinear dynamic systems. A Duffing system is used in this research as an example to demonstrate the application and efficiency of the proposed approach. The approach has shown effectiveness in diagnosing periodic, multi-periodic, quasi-periodic and chaotic motions. The characterization with implementing the proposed approach is compared with that of the Lyapunov exponent method. The advantages of the proposed approach are demonstrated.

Model Checking Control Software for Nonlinear Dynamic Systems

2008 ◽  
Author(s):  
James Kapinski ◽  
Alexandre Donze ◽  
Flavio Lerda ◽  
Hitashyam Maka ◽  
Edmund Clarke ◽  
...  
Keyword(s):  
Model Checking ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems ◽  
Control Software
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