1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Phase Portrait Question

  1. Apr 29, 2004 #1
    Hello, I'm considering the system:



    I've found the fixed points and shown that this is a first integral of the system:


    How can I (using this information only) sketch a phase portrait? I know the graph of fixed points looks like the x=y graph, but im not sure how this relates to a phase portrait.

    Any help? Thanks.
  2. jcsd
  3. Apr 29, 2004 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    From my slight acquaintance with phase portraits( among lots of other stuff..), I'd say the
    equations f(x,y)=x+y=const. for different constants defines your phase portrait.
    In particular, it would be important to graph whether solutions converge towards some fixed point at x=y (i.e stable fixed points), or if the fixed points are unstable/saddle-like.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Phase Portrait Question
  1. Phase Spectrum (Replies: 7)