1. Implication of Two-Coupled Differential Van der Pol Duffing Oscillator in Weak Signal Detection
- Author
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Hang-hang Peng, Xuemei Xu, Bing-chu Yang, and Linzi Yin
- Subjects
Physics ,Van der Pol oscillator ,Basis (linear algebra) ,Mathematical analysis ,Weak signal ,General Physics and Astronomy ,Duffing equation ,02 engineering and technology ,021001 nanoscience & nanotechnology ,01 natural sciences ,Nonlinear Sciences::Chaotic Dynamics ,Nonlinear Sciences::Adaptation and Self-Organizing Systems ,Quantum mechanics ,0103 physical sciences ,Detection performance ,Differential (infinitesimal) ,010306 general physics ,0210 nano-technology - Abstract
The principle of the Van der Pol Duffing oscillator for state transition and for determining critical value is described, which has been studied to indicate that the application of the Van der Pol Duffing oscillator in weak signal detection is feasible. On the basis of this principle, an improved two-coupled differential Van der Pol Duffing oscillator is proposed which can identify signals under any frequency and ameliorate signal-to-noise ratio (SNR). The analytical methods of the proposed model and the construction of the proposed oscillator are introduced in detail. Numerical experiments on the properties of the proposed oscillator compared with those of the Van der Pol Duffing oscillator are carried out. Our numerical simulations have confirmed the analytical treatment. The results demonstrate that this novel oscillator has better detection performance than the Van der Pol Duffing oscillator.
- Published
- 2016
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