Variance Based Identification of Phase Transition in Duffing Oscillator for Weak Signal Detection

Abstract:

This paper studies the detection of weak signal detection using a Duffing Oscillator, which is sensitive to periodic signals but insensitive to noises. The system transits from chaotic to great periodic motion when coupled to the weak periodic signal to be detected. To efficiently determine the phase transition, a novel numerical criterion is proposed based on the sharp increase of variance when phase change happens. Simulation results verified the effectiveness of this method.

• Periodical: Applied Mechanics and Materials (Volumes 128-129)
• Pages: 354-358
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.128-129.354
• Online since: October 2011
• Authors: Yuan Chang, Chun Wen Li, Yi Hao
• Keywords: Duffing Oscillator, Phase Transition, Variance, Weak Signal Detection

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