Chaotic Equation NDSolve....

• To: mathgroup at smc.vnet.net
• Subject: [mg3127] Chaotic Equation NDSolve....
• From: aspuru at servidor.dgsca.unam.mx
• Date: Tue, 6 Feb 1996 22:48:02 -0500
• Organization: A poorly-installed InterNetNews site
• Sender: owner-wri-mathgroup at wolfram.com

```Greetings from Mexico City,

We are a pair of students of chemistry doing some exercises on chaotic systems.
So we are not too keen on math as a mathematician would be.

We programmed this system and get this error:
"Differential Equation does not evaluate as a number at t=1" Tried with
different values of t with no success:

The system we programmed is as follows:

NDSolve[ {q1'[t] == p1[t],
q2'[t] == p2[t],
p1'[t] == ((1-f) q1[t])/((1 - q2[t]) ^ 2  + (q1[t]) ^ 2 ) ^ 0.5,
p2'[t] == (1-f) - q2[t] - ((1-f) (1-q2[t]))/((1-q2[t]) ^ 2 + (q1[t]) ^ 2) ^ 0.5 ,
q1 [1] == q2[1] == p1[1] == 1, p2[1] == 2},
{p1, q1, p2, q2}, {t, 1, 20}, MaxSteps->3000 ]

And we dont know what is wrong on it... I hope any one of you can guide/help
us in our quest of solving this system.

Alan Aspuru & Octavio Paniagua...

Chemistry Faculty,