15 November 2011 Dynamical property analysis of fractionally damped van der pol oscillator and its application
Author Affiliations +
Proceedings Volume 8335, 2012 International Workshop on Image Processing and Optical Engineering; 83351T (2011) https://doi.org/10.1117/12.919839
Event: 2012 International Workshop on Image Processing and Optical Engineering, 2012, Harbin, China
Abstract
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.
© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Qiuhui Zhong, Qiuhui Zhong, Chunrui Zhang, Chunrui Zhang, } "Dynamical property analysis of fractionally damped van der pol oscillator and its application", Proc. SPIE 8335, 2012 International Workshop on Image Processing and Optical Engineering, 83351T (15 November 2011); doi: 10.1117/12.919839; https://doi.org/10.1117/12.919839
PROCEEDINGS
7 PAGES


SHARE
RELATED CONTENT

Detection of weak signal in laser ranging based on the...
Proceedings of SPIE (December 23 2005)
Phase noise in a Colpitts oscillator
Proceedings of SPIE (May 24 2004)
Detection of broad-band communications signals
Proceedings of SPIE (November 17 1993)
Definitions Of Chaos And Measuring Its Characteristics
Proceedings of SPIE (October 13 1986)

Back to Top