Re: cycles and chaos

Thank you for your reply.The formula lost its format. Like you
suspected xt2 is the square of xt, it means xt*xt. I know I can
visualise my function, x_t+1 = f(x_t). My problem is that I need to
find an expression that represents all the parameter combinations that
will lead to chaos.
Maria

Maarten van Reeuwijk wrote:
maria pereira wrote:

I need to know if the function f(xt+1)=Ax t- xt(Bxt2 - C)/(D xt2 - C) can
exhibit cyclical (repelling) and chaotic dynamics and, if it does, to what
parameter values that occurs. What should I do? What readings do you
advise me to pursue?

Please specify the parameters and coefficients in this system. Does xt2 mean
xt*xt or is it a different parameter? Does t represent time? Assuming that
f = f(x,t) and x_n+1 = f(x_n, t), you can visualize f(x,t) to get an idea
of its behavior.

HTH, Maarten



--
===================================================================
Maarten van Reeuwijk dept. of Multiscale Physics
Phd student Faculty of Applied Sciences
maarten.ws.tn.tudelft.nl Delft University of Technology

.

Loading