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 ...
%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 ...
% 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 ...
% 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 ...
% 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 ...
%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 ...
% 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 ...
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 ...
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