MathGroup Archive 2000

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: solve f(x)=0, where f:Rn+1 -> Rn


Hello,
I don't know of a package for that matter in Mathematica, but there
exist programs in Fortran, eg. the package AUTO by Doedel.
Also Prof. Seydel (http://bifurcation.de) has a Fortran-package
BIFPACK, which he might send you.

Good luck
Alois
Pavel.Pokorny at vscht.cz writes:

>   Dear Mathematica friends
> 
> Is there a way in Mathematica 4.0 to solve (numerically) the problem 
>   f(x) = 0
> where f: R^{n+1} -> R^n,
> i.e. f has n+1 real arguments and n real results ?
> 
> The solution is (under certain conditions on f) 
> a curve in (n+1)-dim space.
> 
> Example 
>    x^2 + y^2 - 1 = 0 
> is a unit circle.
> 
> This problem is called "continuation" in nonlinear system analysis
> see 
> Seydel: Tutorial on Continuation
> Int.J.Bif.Chaos, Vol.1 No.1 (1991) pp 3-11.
> 
> -- 
> Pavel Pokorny
> Math Dept, Prague Institute of Chemical Technology
> http://staff.vscht.cz/mat/Pavel.Pokorny


  • Prev by Date: Re: Implicit Derivatives
  • Next by Date: Re: Implicit Derivatives
  • Previous by thread: Re: Implicit Derivatives
  • Next by thread: Re: solve f(x)=0, where f:Rn+1 -> Rn