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The extraction of weak signals from noisy backgrounds is an important part of the modern information theory. Traditional methods based on linear systems such as filtering have limitation in such applications while Chaos theory has more advantage, which becomes an important research direction. In this paper, the nonlinear chaotic Duffing oscillator is studied and simulated for its phase trajectory,...
A general tracking control problem is solved for a chaotic system (Duffing oscillator) with unknown parameters, under the additional requirement that the tracking error must remain inside an imposed hard constraint. The barrier Lyapunov functions technique is applied in an adaptive backstepping scheme. Several system properties are investigated and benefits coming from state variable constraints are...
The method of the weak signal detection using the Duffing oscillator's initial conditions sensitivity was analyzed, and the Melnikov method of determining chaotic threshold of Duffing oscillators is discussed. The principle of weak signal detection based on the change of phase trace is described, and the influence of noise to the system status in the chaos detection process is also studied. Simulation...
The capability of conventional detection method such as power spectral density is limited while detecting periodic signals buried in the noise and deciding accurate frequency, the chaotic oscillator can increase the detection ability of weak periodic signals and improve frequency precision. In this paper, a new method based on duffing oscillator is proposed to detect weak signals. The chaos characteristic...
In this paper the Duffing oscillator is applied to solve high transmitter power consumption and high probability of intercept of underwater mine. A chaotic oscillator has the property of being sensitive to weak signal and being immune to noise, which leads to a potential application in weak signal detection. The weak signals can be used as the outside periodic exciter and be brought in the Duffing...
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