Dynamical property analysis of fractionally damped van der pol oscillator and its application

被引：0
|
作者：
Zhong, Qiuhui [1 ]
Zhang, Chunrui [1 ]
机构：
[1] NE Forestry Univ, Dept Math, Harbin 150040, Peoples R China
来源：
2012 INTERNATIONAL WORKSHOP ON IMAGE PROCESSING AND OPTICAL ENGINEERING | 2012年 / 8335卷
关键词：
van der pol oscillator; fractional; Laplace transform; Lyapunov exponent; Adams-type predictor-corrector; weak signal; EQUATIONS;
D O I：
10.1117/12.919839
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, the fractionally damped van der pol equation was studied. Firstly, the fractionally damped van der pol equation was transformed into a set of integer order equations. Then the Lyapunov exponents diagram was given. Secondly, it was transformed into a set of fractional integral equations and solved by a predictor-corrector method. The time domain diagrams and phase trajectory were used to describe the dynamic behavior. Finally, the fractionally damped van der pol equation was used to detect a weak signal.
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页数：7
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