Results 1 to 3 of 3

Math Help - Question about unstable equilibrium

  1. #1
    Junior Member
    Joined
    Feb 2011
    Posts
    52

    Question about unstable equilibrium

    I was given a question; "Sketch a picture of a phase portrait that has an unstable equilibrium toward which all nearby solutions curves tend as t -> infinity"

    How would this be possible since the definition of an unstable equilibrium is all the solution curves near an unstable equilibrium tends towards infinity as t->infinity.
    Unless there was a typo and the question meant "asymptotically stable equilibrium"
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member Ruun's Avatar
    Joined
    Mar 2009
    From
    North of Spain
    Posts
    129
    Thanks
    13
    unstable equilibrium toward which all nearby solutions curves tend as t -> infinity means the same as all nearby solutions curves tend to an unestable equilibrium as t -> infinity
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Feb 2011
    Posts
    52
    I'm not sure what you are trying to tell me :\ Sorry.

    I get that the question wants me to sketch a phase portrait that has an unstable equilibrium which all nearby solutions tend to. But, unstable equilibriums shoot solution curves off to infinity, so how can they tend towards it?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Equilibrium stable or unstable - differential euqation
    Posted in the Differential Equations Forum
    Replies: 20
    Last Post: July 23rd 2010, 09:34 AM
  2. stable/unstable DEs
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: April 25th 2010, 04:43 PM
  3. need help with equilibrium question!
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: November 27th 2009, 09:36 AM
  4. Equilibrium Point Question
    Posted in the Math Software Forum
    Replies: 0
    Last Post: December 9th 2007, 03:24 PM

Search Tags


/mathhelpforum @mathhelpforum