Description: duffing混沌振子的实现代码，以及绘制duffing系统分岔图的源代码，matlab程序。-duffing chaotic oscillator realization of the code, as well as the bifurcation diagram drawing duffing system source code, matlab procedures. Platform: |
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Author:chris |
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Description: duffing分岔图，计算连续duffing方程Lyapunov指数的程序,比较好用-duffing bifurcation diagram, duffing equation for calculating the Lyapunov index procedure, comparative ease of use Platform: |
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Author:崔 |
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Description: duffing系统的matlab分岔程序，对于初学者有一定的帮助。-The bifurcation matlab procedure of Duffing system, which would be helpful for beginners. Platform: |
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Author:张博文 |
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Description: 采用4阶龙格库塔法和10阶连分式欧拉法，数值计算、分析了分数阶阻尼Duffing系统的
动力学特性．利用相图、Poincare截面映射图和分岔图等非线性动力学分析方法研究了阻尼的分数
阶微积分阶数对Duffing系统动力学性能的影响，采用分岔图法研究了外部激励的幅值和频率变
化时分数阶阻尼Duffing系统的动力学行为．分析表明，分数阶阻尼的阶数在0．1～2．0发生变化
时，系统依次进入周期运动、混沌运动、周期运动、混沌运动和周期运动，并且在混沌运动区间中存
在着周期运动窗口，由周期运动进入混沌运动的倍周期过程比较明显，结果证实了阻尼的分数阶微
分阶数对系统的动力学特性影响比较大，因此在系统动力学设计和分析中应该重视．-Abstract：Nonlinear dynamics of Duffing system with fractional order damping is investigated。
The equations of fractional order damped Duffing system are established．The four-order Runge-
Kutta method and ten-order CFE-Euler methods are performed tO solve the fractional order Duffing
equations．The effects of fractional order on the system dynamics are proposed with phase di—
agrams，bifurcation diagrams and Poincare map．The bifurcation diagram is utilized tO analyze the
effect of excitation amplitude and frequency on Duffing system with fractional order damping．
The analysis shows that the fractional order damped Duffing system exhibits period motion。cha—
OS，period motion，chaos，period motion one by one when the fractional order change from 0．1 to
2．0．A period doubling route to chaos is appeared clearly．The numerical results verify the signif—
icant effect of fractional order on system dynamics．It iS necessary to consider the fractional order
of damping in the design and analysi Platform: |
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Author:张洋 |
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Description: 以DUFFING方程为例，此程序运行了非线性方程的分岔图。-take DUFFING equation, for example, the program run the nonlinear equation of bifurcation diagrams.
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Author:张莉 |
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Description: 对于非线性系统 如duffing和Lorenz系统，使用龙格库塔法求其系统响应，并画出相图和分岔图-
For nonlinear systems such as duffing and Lorenz system, seeking its response system using Runge-Kutta method, and draw the phase diagram and bifurcation diagrams Platform: |
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Author:张磊 |
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Description: Duffing方程的分叉图，类似结构只需要改下方程就行(The bifurcation diagram of the Duffing equation, similar to the structure, only needs to change the equation) Platform: |
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Author:.Zxc
|
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Description: salut
Diagramme bifurcation
One way that I know is to obtain a Poincare section of the flow on an appropriate plane. This can be done by solving the system of differential equations numerically, and obtaining points in the solution that intersect the Poincare plane. This can be done approximately in Matlab, because the numerical solution is of variable time-step, and we cannot get the exact point of intersection... But, perhaps, that is how numerical methods are! Platform: |
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Author:Sidra |
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Description: Dufing方程是一种重要的动力系统山，是反映工程物理系统中非线性现象和混沌动力学行为的极其重要的方程式。通过Duffing方程可以探讨铁磁谐振电路中的分岔、拟周期运动、子谐波振荡。而在非线性与混沌系统的研究中，Duffing方程展示了丰富的混沌动力学行为。本文通过对不同情况下的Duffing方程进行分析，利用MATLAB进行仿真，从而对Duffing方程有进一步的了解。(Dufing equation is an important dynamic system mountain, which reflects the nonlinear phenomena and chaotic dynamics in Engineering Physics system. The bifurcation, quasi periodic motion and sub harmonic oscillation in ferromagnetic resonance circuit can be discussed through the Duffing equation. In the study of nonlinear and chaotic systems, the Duffing equation shows abundant chaotic dynamical behavior. In this paper, the Duffing equation under different conditions is analyzed and simulated with MATLAB, so as to have a further understanding of the Duffing equation.) Platform: |
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Author:OldDriver集中营 |
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