(I am not sure whether I'm posting in the right forum. I apologize if I do)
Does anyone have an alrorithm or a code (in any language) that constructs a Poincare surface of section?
I want to do so for a Hamiltonian model: A mass under the influense of the Henon-Heiles potential. It has to...
(x+1)(x-2) = (x^2) -x -2 = 0 -> x1= 2
and x2= -1
(4x-2)(-x+3) = -4(x^2) +14x -6 =0 -> x1 = 3
and x2 = 0.5
But again, it has nothing to do with the first one.
I don't understand what you mean. I' ve done nothing.
I don't have a mathematica I that's what you are asking.
I don't remember the Horner 'thing' or the polynomial division, and I was wondering if someone could help me.
I've just checked my answers and they are absolutely right.
Unless you are not asking for the solution of the
-3(x^3) ( 2(x^3) + 3x - 4) = 0
What you've written (about the 2 others) has nothing to do.
:redface: Can I please have the solution of the trinomial
x^3+(11+(8/3))*x^2+(8/3)*(m+10)*x+(160/3)(m-1)=0
in terms of the unknown variable "t"?
I' ve heard that it can be done in 'mathematica'.
I used e=0.3 which is not that small.
So I dropped the R-K4, and used a matrix of the form e^At for the numerical integration, and the system did fade out.
So I guessed that R-K4 was to accurate for this case. At least for the times 'I could reach'. You see I've been running the integration...
I numerically integrate the following nonlinear oscillator:
x''(t) + e (x'(t)^3) + x(t) = 0 , where e<<1
and what I get is a limit cycle.
The energy derivative appears to be negative , which means that
x(t) approaches zero while t approaches infinity.
I also used the analytical...