Re: Finding Fixed Points for a Nonlinear System of equations
- To: mathgroup at smc.vnet.net
- Subject: [mg42888] Re: [mg42862] Finding Fixed Points for a Nonlinear System of equations
- From: Selwyn Hollis <selwynh at earthlink.net>
- Date: Fri, 1 Aug 2003 01:25:57 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
It depends on the form of functions involved. If they are polynomials, use Solve or NSolve. Otherwise you may need FindRoot. ----- Selwyn Hollis http://www.math.armstrong.edu/faculty/hollis On Thursday, July 31, 2003, at 08:02 AM, Katherine Gurdziel wrote: > Sorry I wasn't clear. I am looking for all of the solutions where the > system is equal to zero. > > [0 [equation for the derivatives dP1 > 0 dP2 > 0 = dP3 > 0 dP4 > 0] dP5] > > I hope this makes things clearer. > > Katherine > > -----Original Message----- > From: Selwyn Hollis [mailto:selwynh at earthlink.net] To: mathgroup at smc.vnet.net > Sent: Wednesday, July 30, 2003 8:27 PM > To: Katherine Gurdziel > Cc: mathgroup at smc.vnet.net > Subject: [mg42888] Re: [mg42862] Finding Fixed Points for a Nonlinear System of > equations > > > Katherine, > > I think you need to be more specific about what you want to do. It is > not clear what you mean by "the fixed points" of a system of > differential equations. Perhaps you mean the equilibrium/critical > points?? > > ----- > Selwyn Hollis > http://www.math.armstrong.edu/faculty/hollis > > > On Wednesday, July 30, 2003, at 07:31 PM, Katherine Gurdziel wrote: > >> I am trying to isolate the fixed points for five differential >> equations that >> are dependent on each other. I have experimented with using NDSolve >> but am >> having problems finding the fixed points. Specifically, I need to be >> able >> to solve the system without setting initial conditions and need to >> find all >> of the fixed points. >> Could you make some suggestions about an approach that I could try to >> solve >> this problem? >> >> Thank you very much. >> >> Katherine >> >> >> > > > >