Regular nonlinear response of the driven Duffing oscillator to chaotic time series
Yuan Ye(袁野)a), Li Yue(李月)a)†, Danilo P. Mandicb), and Yang Bao-Jun(杨宝俊)c)
aSchool of Communication Engineering, Jilin University, Changchun 130012, China; bDepartment of Electrical and Electronic Engineering, Imperial College, London SW72BT, UK; cDepartment of Geophysics, Jilin University, Changchun 130026, China
Abstract Nonlinear response of the driven Duffing oscillator to periodic or quasi-periodic signals has been well studied. In this paper, we investigate the nonlinear response of the driven Duffing oscillator to non-periodic, more specifically, chaotic time series. Through numerical simulations, we find that the driven Duffing oscillator can also show regular nonlinear response to the chaotic time series with different degree of chaos as generated by the same chaotic series generating model, and there exists a relationship between the state of the driven Duffing oscillator and the chaoticity of the input signal of the driven Duffing oscillator. One real-world and two artificial chaotic time series are used to verify the new feature of Duffing oscillator. A potential application of the new feature of Duffing oscillator is also indicated.
Received: 16 July 2008
Revised: 28 August 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 40574051 and
40774054).
Cite this article:
Yuan Ye(袁野), Li Yue(李月), Danilo P. Mandic, and Yang Bao-Jun(杨宝俊) Regular nonlinear response of the driven Duffing oscillator to chaotic time series 2009 Chin. Phys. B 18 958
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