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lampageu

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5 years, 306 days

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These are questions asked by lampageu

I have the following system

pendsys := { diff(x(t),t) = a * x(t) + y(t), diff(y(t),t) = -x(t) + a * y(t) }:

with critical point being (0,0). After plotting the phase portrait, I found out that (0,0) is (asymptotically) stable when a<0 and unstable when a>0. Also, (0,0) is a center when a = 0. Also, as initial condition, I have x(0)=0, y(0)=1. I was thinking we have Hopf bifurcation at a = 0. My question is, how do I plot the bifurcation diagram for this system?

 

tes_A.mwtes_A.mw

I'm sorry if this sounds like a noob question. I am trying to make a matrix from a table, something like Gauss-Jordan Elimination tutor.

For example

maplet1 := Maplet([BoxCell(Table([A, B], [[1, 2], [3, 4]]), 'as_needed'), Button("OK", Shutdown())]);

How do I turn it to 2x2 matrix?Any help appreciated

restart; with(LinearAlgebra); with(Student[LinearAlgebra]); 
Z := Matrix([[3, 1, 5, 4, 5], [0, 0, 0, 0, 0], [28, 6, 4, 5, 9], [98, 5, 82, 2, 4], [24, 55, 23, 22, 90]]); 
B := Matrix([[0], [0], [0], [0], [0]]); 
A := <Z|B>:
if Row(A, 2) = ZeroVector[row](6) then A; end if;

I used the code above but it didn't work...any help appreciated

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