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该软件用于研究周期信号的混沌检测，通过Duffing方程，检测极微弱信号，非常有用。-software for the study of the cycle of chaotic signal detection through Duffing equation, detect very weak signal, very useful.
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噪声对基于Duffing方程弱信号检测的影响研究Noise on Duffing equation based on the impact of weak signal detection-Noise on Duffing equation based on the impact of weak signal detection
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杜芬振子相轨图在利用混沌处理机械故障微弱信号应用Duffing相轨-Duffing oscillator with mechanical failure orbit map at a weak signal processing phase Duffing orbit
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利用混沌振子检测微弱正弦信号，以duffing系统为例，采用的梯形积分积分求取微分方程-Detection of chaotic oscillator using weak sinusoidal signal to duffing system as an example, using the trapezoidal integration points to strike a differential equation
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基于双耦合Duffing振子的随机相位正弦信号检测
采用双耦合混沌振子阵列实现了随机相位微弱正弦信号的检测，在此基础上，提出了新的检测方法，即利用单个耦合混沌振子，通过临界及周期状态
的变化检测随机相位微弱正弦信号并大致估计信号相位范围，该方法比双耦合混沌振子阵列法简单，更易于实现。-Based on double coupled Duffing oscillators random phase sine signals detected by two coupled chaotic o
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duffing方程用于微弱信号检测的matlab程序。包含两种方法，一种是inline，一种是@fan。-duffing equation for weak signal detection matlab program. Contains two methods, one is inline, one is @ fan.
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duffing混沌阵子系统的matlab仿真图。通过参数选择实现无噪声，白噪声，色噪声条件下的微弱信号检测。-duffing matlab simulation of chaotic time around the system map. Through the parameters to achieve,no noise, white noise, colored noise of the weak signal detection.
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Based on the Duffing equation, a Duffing oscillator algorithm (DOA) to improve the signal-to-noise ratio (SNR) was presented. By simulated
and experimental data sets, it was proven that the signal-to-noise ratio (SNR) of the weak signal could be gr
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本论文首先阐述了利用Duffing振子进行微弱信号检测的基本方法及具体实现方法，论证了根据系统相轨迹的变化来判断目标信号中是否含有周期信号的混沌振子检测方法。将Lyapunov特性指数作为一种定量的混沌判别方法应用到微弱信号混沌检测领域，分别研究了连续系统和时间序列的Lyapunov指数计算方法。-his paper first discusses how to use the Duffing oscillator are the weak signal detection, the basic
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duffing振子在检测微弱信号时通过改变相关参数检测出信号的阈值-Duffing oscillator in detecting weak signal by changing the relevant parameters when the detected signal threshold
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duffing振子在检测微弱信号时通过改变相关参数检测出信号的阈值-Duffing oscillator in detecting weak signal by changing the relevant parameters when the detected signal threshold
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用matlab对duffing方程进行求解，duffing方程是混沌算法的主要分支之一，具有效果较为良好的微弱信号检测功能。-Duffing equation is solved using matlab Duffing equation is one of the main branches of the chaotic algorithm with a the effect weak signal detection function.
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基于maglab/simulink平台设计的利用duffing振子检测微弱正弦信号，非常好的一个源程序，自己亲自调试，运行在matlab2012b上没有问题，仿真步长0.01s,采用RK四阶算法。若有问题，欢迎指教-Based maglab/simulink platform using duffing detect weak sinusoidal oscillator signal, a very good source, personally commissioning, operation
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噪声影响下，利用duffing振子进行微弱信号的检测-Under the influence of noise, the use of duffing oscillator for weak signal detection
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利用duffing振子对任意频率的微弱信号进行检测-For any use of duffing oscillator frequency of weak signal detection
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对duffing振子各个状态进行分析，并研究输入微弱信号后，相轨迹图的变化-Of duffing oscillator each state is analyzed, and the weak signal input, after the change of the phase track diagram
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在白噪声背景下，利用duffing振子进行微弱信号的检测-Under the background of white noise, the use of duffing oscillator for weak signal detection
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此系统为利用duffing振子系统，测定未知微弱信号参数的系统。大家可以参考。-This system is for the use of duffing oscillators, measuring the unknown parameters of weak signal system. We can refer to.
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针对强噪声背景中弱信号检测问题，在传统检测方法基础上，提出了基于联合去噪和频率调制的微弱信号检测方法。搭建自相关和小波阈值变换联合去噪系统，极大程度抑制了噪声对检测结果的不利影响。利用频率可调标准信号调制待测信号频率，使得被测信号与检测系统策动力信号的频率差满足检测条件，打破了利用Ｄｕｆｆｉｎｇ 振子检测系统只能检测与系统策动力频率相近信号的限制。(In order to solve the problem of weak signal detection in strong noise bac
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