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分享 最近在学Auto Bifurcation
2014-5-18 12:19
最近在学Auto Bifurcation
1245 次阅读|1 个评论 热度 1
分享 Collective Matlab codes of Duffing-Van der Pol Oscillator
2011-4-29 23:05
An example of a nonlinear dynamical system with numerous application in engineering is the single well-forced Duffing-Van der Pol oscillator: d^2y_1/dt^2-/Mu*(1-y_1^2)*d ...
个人分类: Duffing-Vanderpol程序|4241 次阅读|0 个评论
分享 Cobweb of Logistic maps
2011-3-17 11:55
%Author: Thomas Lee function cobweb(x0,tol,a,b,n) %function cobweb(x0,tol,a,b,n) %x0=starting iteration value for x %tol=how small you want the difference to be between adjacent iteration values %a=lower x bound %b=upper x bound %n=number of x values you want to have between a and b % % EX: % %cob ...
1359 次阅读|0 个评论
分享 Basin of attraction using Newton's method
2011-3-17 11:41
Basin of attraction using Newton's method
% Author: Thomas Lee % basin of attraction % using Newton's method to track initial values to % convergence of the roots for z^3 -1 % 3 blocks for each root, z1=1,z2,z3 as following x = -1:0.001:1; y = -1:0.001:1; = meshgrid(x,y); n = 300; z2 = -1./2. + i*sqrt(3.)/2.; z3 = -1./2. - i*sqr ...
个人分类: 分叉|1778 次阅读|0 个评论
分享 Bifurcation and MLE of Henon map
2011-3-5 17:25
Bifurcation and MLE of Henon map
clear all d0=1e-12; A= ; for a=0:0.001:1.4 x1=0;y1=0; x2=0;y2=d0; lsum=0; for j=1:500 x3=a-x1*x1+0.3*y1; y1=x1; & ...
个人分类: 分叉|2004 次阅读|1 个评论 热度 1
分享 Henon映射的分叉图的Matlab实现
2008-9-26 11:00
Henon映射的分叉图的Matlab实现
% Author: Thomas Lee % E-mail: lixf1979@126.com % Corresponding: School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China %Plotting the bifurcation of the 2D Henon Map b=0.3; niter=2000; x=0; y=0; A= ; %for a=0 ...
个人分类: 分叉|2538 次阅读|2 个评论
分享 Lozi混沌映射系统的Matlab实现
2008-7-19 10:17
% Author: Thomas Lee % E-mail: lixf1979@126.com % Corresponding: School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China % if you want to get more information, please refer to one of the publishedarticles of the author: %李险峰 ...
1790 次阅读|0 个评论
分享 带有周期激励的非自治动力系统的Poincare截面程序
2008-5-28 08:55
%具体的讨论可以见我的个人空间! %这是duffing方程的Poincare截面的程序,经过试验和调试是没有错误的! %这是定义的duffing方程的式子! %要调用poincare.m! function dy=duffing(t,y); global det global w global r dy= ; %Duffing 方程的Poincare截面程序! %经过试验和调试是没有错误的! %要调用duffing.m! func ...
1622 次阅读|2 个评论 热度 1
分享 单摆方程的Poincare截面Matlab实现
2008-5-24 16:28
% Author: Thomas Lee % E-mail: lixf1979@126.com % Corresponding: School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China function ydot=pend(t,y,n) F=1.15; a=0.5; ydot= ; clear; %set innitial conditions as y and dy/dt y0= ; ic=1; n=2/3; %inte ...
1486 次阅读|0 个评论
分享 二参数分叉图像
2008-5-21 14:18
下面的给出了Bogdanov Map的Box-within-Box bifurcation structure! A two-dimensional map which is conjugate to the Henon Map in its nondissipative limit. It is given by 1 2 References: Arrowsmith, D. K.; Cartwright, J. H. E.; Lansbury, A. N.; and ...
1254 次阅读|0 个评论
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