15 November 2011 Dynamical property analysis of fractionally damped van der pol oscillator and its application
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Proceedings Volume 8335, 2012 International Workshop on Image Processing and Optical Engineering; 83351T (2011); doi: 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.
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Qiuhui Zhong, 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
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KEYWORDS
Signal detection

Detection theory

Oscillators

Chaos

Differential equations

Calculus

Interference (communication)

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