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No Constant Solution => No periodic solution

  1. Oct 3, 2010 #1
    Shall f be continous function of two real variables. Proof that if equation x''=f(x,x') has not constant solutions, then neither it has periodic solutions.
     
  2. jcsd
  3. Oct 4, 2010 #2
    This follows fom the Poincare-Bendixon theorem : a closed orbit must enclose a stationary point.
     
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