The Lorentz Attractor

# Mathematical Physics # http://www1.uprh.edu/rbaretti/ #http://www1.uprh.edu/rbaretti/methodsoftheoreticalphysics.htm #http://www1.uprh.edu/rbaretti/methodsoftheoreticalphysicsPart2.htm #http://www1.uprh.edu/rbaretti/methodsoftheoreticalphysicsPart3.htm #http://www1.uprh.edu/rbaretti/methodsoftheoreticalphysicsPart4.htm #http://www1.uprh.edu/rbaretti/methodsoftheoreticalphysicsPart5.htm i1,i2=var('i1,i2') solve([200*i1-100*i2==1.5,-100*i1+200*i2==5],i1,i2) 

[[i1 == 2/75, i2 == 23/600]]

[[i1 == 2/75, i2 == 23/600]]

R=RealField(20) R(2/75) 

0.026667

0.026667

 

var('x') f=(1+x^2) integral(f,x,0,3) 

12

12

R=RealField(30) x=11/23 R(x) 

0.47826087

0.47826087

i1,i2,i3=var('i1,i2,i3') solve([-7*i1+i2+0*i3==-10,i1-5*i2+3*i3==0,0*i1+3*i2-13*i3==20],i1,i2,i3) 

[[i1 == 500/379, i2 == -290/379, i3 == -650/379]]

[[i1 == 500/379, i2 == -290/379, i3 == -650/379]]

R=RealField(30) R(500/379) ; R(-290/379);R(-650/379); 

1.3192612
-0.76517150
-1.7150396

1.3192612
-0.76517150
-1.7150396