We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incomm...We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incommensurate. The proposed control method is universal, simple, and theoretically rigorous. Numerical simulations are given for several fractional chaotic and hyperchaotic systems to verify the effectiveness and the universality of the proposed control method.展开更多
Aiming at the shortage of conventional threshold function in wavelet noise reduction of chaotic signals,we propose a wavelet-packet noise reduction method of chaotic signals based on a new higher order threshold funct...Aiming at the shortage of conventional threshold function in wavelet noise reduction of chaotic signals,we propose a wavelet-packet noise reduction method of chaotic signals based on a new higher order threshold function.The method retains the useful high-frequency information,and the threshold function is continuous and derivable,therefore it is more consistent with the characteristics of the continuous signal.Contrast simulation experiment shows that the effect of noise reduction and the precision of noise reduction of chaotic signals both are improved.展开更多
The sensitive characteristic to the initial value of chaos system sufficiently demonstrates the superiority in weak signal parameters detection.Analyzing the current chaos-based frequency detection method,a novel gene...The sensitive characteristic to the initial value of chaos system sufficiently demonstrates the superiority in weak signal parameters detection.Analyzing the current chaos-based frequency detection method,a novel generalized Duffing equation is proposed to detect weak signal frequency.By choosing a suitable adjusting factor,when the outside driving force frequency is equal to that of the detected signal,the generalized Duffing oscillator is in great period state,which can obtain the frequency information of the detected signal.The simulation results indicate this method is rapidly convenient and shows better accuracy.展开更多
We apply spectral power amplification to quantifying and investigating the phenomenon of stochastic resonance in fractional-order systems.Moreover,the frequency of the weak mixed signal is detected by a stochastic res...We apply spectral power amplification to quantifying and investigating the phenomenon of stochastic resonance in fractional-order systems.Moreover,the frequency of the weak mixed signal is detected by a stochastic resonance mechanism together with a power spectrum.The corresponding numerical results demonstrate the effectiveness of the proposed methods.展开更多
We investigate stochastic resonance in a linear system subjected to multiplicative noise that is a polynomial function of colored noise.Using the stochastic averaging method,the analytical expression of the output sig...We investigate stochastic resonance in a linear system subjected to multiplicative noise that is a polynomial function of colored noise.Using the stochastic averaging method,the analytical expression of the output signal-to-noise ratio(SNR)is derived.Theoretical analysis and numerical results show that the output SNR is a non-monotonic function of both the noise intensity and the correlation rate.Moreover,the phenomoenon of stochastic multi-resonance(SMR)is found,which is not observed in conventional linear systems driven by multiplicative noise with only a linear term.展开更多
基金Project supported by the National Natural Science Foundation of China （Grant No. 11171238）, the Science Found of Sichuan University of Science and Engineering （Grant Nos. 2012PY17 and 2014PY06）, the Fund from Artificial Intelligence Key Laboratory of Sichuan Province （Grant No. 2014RYJ05）, and the Opening Project of Sichuan Province University Key Laborstory of Bridge Non-destruction Detecting and Engineering Computing （Grant No. 2013QYJ01）.
文摘We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incommensurate. The proposed control method is universal, simple, and theoretically rigorous. Numerical simulations are given for several fractional chaotic and hyperchaotic systems to verify the effectiveness and the universality of the proposed control method.
基金Supported by the National Natural Science Foundation of China under Grant No 10731050the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China under Grant No IRTO0742。
文摘Aiming at the shortage of conventional threshold function in wavelet noise reduction of chaotic signals,we propose a wavelet-packet noise reduction method of chaotic signals based on a new higher order threshold function.The method retains the useful high-frequency information,and the threshold function is continuous and derivable,therefore it is more consistent with the characteristics of the continuous signal.Contrast simulation experiment shows that the effect of noise reduction and the precision of noise reduction of chaotic signals both are improved.
基金Supported by the National Natural Science Foundation of China under Grant No 10731050the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China under Grant No IRTO0742Science and Technology on Electronic Information Control Laboratory under Grant No HG2011001.
文摘The sensitive characteristic to the initial value of chaos system sufficiently demonstrates the superiority in weak signal parameters detection.Analyzing the current chaos-based frequency detection method,a novel generalized Duffing equation is proposed to detect weak signal frequency.By choosing a suitable adjusting factor,when the outside driving force frequency is equal to that of the detected signal,the generalized Duffing oscillator is in great period state,which can obtain the frequency information of the detected signal.The simulation results indicate this method is rapidly convenient and shows better accuracy.
基金Supported by the National Natural Science Foundation of China under Grant No 11171238.
文摘We apply spectral power amplification to quantifying and investigating the phenomenon of stochastic resonance in fractional-order systems.Moreover,the frequency of the weak mixed signal is detected by a stochastic resonance mechanism together with a power spectrum.The corresponding numerical results demonstrate the effectiveness of the proposed methods.
基金by the National Natural Science Foundation of China under Grant No 10731050the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education of China under Grant No IRTO0742.
文摘We investigate stochastic resonance in a linear system subjected to multiplicative noise that is a polynomial function of colored noise.Using the stochastic averaging method,the analytical expression of the output signal-to-noise ratio(SNR)is derived.Theoretical analysis and numerical results show that the output SNR is a non-monotonic function of both the noise intensity and the correlation rate.Moreover,the phenomoenon of stochastic multi-resonance(SMR)is found,which is not observed in conventional linear systems driven by multiplicative noise with only a linear term.
