排序方式: 共有47条查询结果,搜索用时 0 毫秒
1.
With the increasingly deep studies in physics and technology,the dynamics of fractional order nonlinear systems and the synchronization of fractional order chaotic systems have become the focus in scientific research.In this paper,the dynamic behavior including the chaotic properties of fractional order Duffing systems is extensively investigated.With the stability criterion of linear fractional systems,the synchronization of a fractional non-autonomous system is obtained.Specifically,an effective singly active control is proposed and used to synchronize a fractional order Duffing system.The numerical results demonstrate the effectiveness of the proposed methods. 相似文献
2.
This paper derives the fractional backward Kolmogorov equations in fractal space-time based on the construction of a model for dynamic trajectories. It shows that for the type of fractional backward Kolmogorov equation in the fractal time whose coefficient functions are independent of time, its solution is equal to the transfer probability density function of the subordinated process X(Sα(t)), the subordinator Sα(t) is termed as the inverse-time α-stable subordinator and the process X(τ) satisfies the corresponding time homogeneous Ito stochastic differential equation. 相似文献
3.
随着物理与技术的深入研究,分数阶非线性系统的动力性态及其分数阶混沌系统的同步成为研究的焦点.研究了分数阶Duffing系统的动力性态包括混沌性质,并且由分数阶非线性稳定性准则得到了分数阶非自治系统的混沌同步.特别地,研究了由单一主动控制的分数阶Duffing系统的同步.相应的数值结果演示了方法的有效性. 相似文献
4.
Wavelet threshold method of resolving noise interference in periodic short-impulse signals chaotic detection 下载免费PDF全文
The chaotic oscillator has already been considered as a powerful method to detect weak signals,even weak signals accompanied with noises.However,many examples,analyses and simulations indicate that chaotic oscillator detection system cannot guarantee the immunity to noises(even white noise).In fact the randomness of noises has a serious or even a destructive effect on the detection results in many cases.To solve this problem,we present a new detecting method based on wavelet threshold processing that can detect the chaotic weak signal accompanied with noise.All theoretical analyses and simulation experiments indicate that the new method reduces the noise interferences to detection significantly,thereby making the corresponding chaotic oscillator that detects the weak signals accompanied with noises more stable and reliable. 相似文献
5.
Using the imbedding theory~([6]) and the N-compactness of L-fuzzy unit interval~([10]), the authors establish the Stone-ech compactification theory of Tychonoff spaces. As well known, the Stone-ech compactification in general topology is the largest compactification of all the Tychonoff compactifications. But this important property is not true in fuzzy topology. The process of the argument of this negative result is very helpful for establishing a more reasonable Stone-ech compactification theory~([12]). Moreover, as relative results, the metrization theorem of induced spaces and the structure of quasi-Boolean lattice seem to have independent interest. 相似文献
6.
拟连续Domain及其子范畴间的伴随关系 总被引:1,自引:0,他引:1
基于Smyth幂 Domain的构造,本文证明了连续半格范畴 CSL(分别地,有界完备连续Domain范畴CBD)是拟连续Domain范畴QCONT(分别地,Coherent拟连续 Domain范畴QCCOH)的反射子范畴.反例表明,连续 Domain范畴CONT作为范畴 QCONT的真子范畴并非其反射子范畴.所有结果均被进一步推广到拟代数Domain范畴. 相似文献
7.
8.
本文研究了周期对称势中时间非对称外力驱动的布朗粒子输运现象, 建立了分数阶布朗马达输运模型. 其中外力是零均值的, 而分数阶阶数则刻画了客观环境的非均匀性程度. 通过将模型离散化进行数值模拟, 讨论了分数阶阶数、系统参量和外部参量与定向流之间的依赖关系. 研究表明, 即使没有倾斜势场的作用, 时间非对称外力也可以诱导系统产生定向输运; 输运速度随分数阶阶数的增大而单调递增; 当阶数固定时, 系统的输运速度会随着势垒高度、噪声强度非单调变化, 表现出广义随机共振现象. 分析指出, 分数阶郎之万方程所刻画的输运现象是在整数阶模型基础上的一个推广, 进而为输运现象提供了一个可能更为真实的模型. 相似文献
9.
本文利用解析和数值的方法研究了由双频周期信号驱动含分数阶内、外阻尼的Duffing振子的振动共振现象,并讨论了分数阶阶数对上述现象的影响. 研究发现:双频周期信号同时驱动的分数阶Duffing振子响应幅值增益Q可随着高频周期激励幅值的改变达到最大值,即出现了和整数阶非线性动力系统相似的振动共振现象,而相应的分数阶导数项则分别为系统提供了内、外两种阻尼力从而导致了系统有效势函数的改变,进而引发了比整数阶动力系统更为丰富的振动共振现象.
关键词:
振动共振
Duffing振子
分数阶阻尼
分数阶系统 相似文献
10.