Regular nonlinear response of the driven Duffing oscillator to chaotic time series |
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Authors: | Yuan Ye Li Yue Danilo P Mandic and Yang Bao-Jun |
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Institution: | Department of Electrical and Electronic Engineering,
Imperial College, London SW72BT, UK; Department of Geophysics, Jilin University, Changchun
130026, China; School of Communication Engineering, Jilin
University,
Changchun 130012, China |
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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. |
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Keywords: | Duffing oscillator chaotic time
series phase plane diagram largest Lyapunov exponent |
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