Study on Multi-scroll Chaotic Synchronization Method of Radiated Noise Line Spectrum

Liu Shuyong Wei Xiulei Fang Xuan Wangji

Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (14) : 135-139.

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (14) : 135-139.

Study on Multi-scroll Chaotic Synchronization Method of Radiated Noise Line Spectrum

  • Liu Shuyong  Wei Xiulei   Fang Xuan  Wangji
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Abstract

The nonlinear vibration isolation system was hard to produce chaotic vibration with small amplitude. In order to solve this problem, the synchronization between a multi-scroll chaotic system and Duffing system is achieved. The frequency and spectrum of the isolation system was reconstructed, and then the dynamics behavior with broadband and small amplitude was realized. Firstly, the chaotic dynamic characteristics with different parameters of the multi-scroll system and its corresponding frequency spectrum characteristics were studied. Secondly, the largest Lyapunov exponent of the system response was calculated to confirm the system was in chaotic state. Finally, the synchronization strategy was simulated, and the results showed that the synchronization between nonlinear isolation system under periodic state and chaotic system could be achieved exactly, and the chaotic response after synchronization had the obvious characteristics of small amplitude which could be presented in the bifurcation and attractor diagram. At the same time, the scroll numbers of drive system are adjustable, so the synchronizations of different system are still applicative.

Key words

multi-scroll / chaos / synchronization / Duffing system / small amplitude;

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Liu Shuyong Wei Xiulei Fang Xuan Wangji. Study on Multi-scroll Chaotic Synchronization Method of Radiated Noise Line Spectrum[J]. Journal of Vibration and Shock, 2016, 35(14): 135-139

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