1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

[maple] nonlinear system?

  1. Dec 6, 2009 #1

    tqh

    User Avatar

    i need help on this part, does anyone have any idead about maple lab? I should get the cure and trajectories in the red rectangular. But i try to fix the points and range, i still didn't get it

    http://img193.imageshack.us/img193/387/deqp.jpg [Broken]

    Code (Text):
    trange1 := -3..3: window1 := x=1..3,y=-3..-1:
    inits1:=[[x(0)=2.5,y(0)=-1.5],[x(0)=1.5,y(0)=-1.5],[x(0)=1.5,y(0)=-2.5],
       [x(0)=2.5,y(0)=-2.5],[x(0)=2+2.0/3.0,y(0)=-2+(3.0-sqrt(17.0))/3.0]]:
    DEplot([dex,dey],[x(t),y(t)],t=trange1,inits1, window1,color=GREEN,
       linecolor=[RED,BLUE,CYAN,PLUM,BLACK],thickness=2,stepsize=0.002,
       title="Phase plane near (2,-2): nonlinear system");

    F1:=4*u+0*v;
    G1:=6*u+6*v;
    dex1:=diff(x(t),t)=eval(F1,{u=x(t),v=y(t)});
    dey1:=diff(y(t),t)=eval(G1,{u=x(t),v=y(t)});
    DEplot([dex1,dey1],[x(t),y(t)],t=trange2,inits2, window1,color=GREEN,linecolor=[RED,BLUE,CYAN,PLUM,YELLOW],thickness=2,stepsize=0.002,
    title="Phase plane near (0,0): linearized system");
     
    Modify the above commands to produce plots of the phase plane for the nonlinear and linear systems near (6, 2). There are no straight line trajectories to consider in this case..
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Dec 6, 2009 #2

    tqh

    User Avatar

    ohh i figured this out... thank you for visiting
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: [maple] nonlinear system?
Loading...