Results 1 to 2 of 2

Math Help - Nonlinear difference equation

  1. #1
    Junior Member
    Joined
    Sep 2009
    Posts
    62

    Question Nonlinear difference equation

    Given  f_c (x)= c - \frac{c^2}{x} , define  x_{n+1} =f_c (x_n) . using  x_0 =p as an inital value, show that this nonlinear difference equation is a 3 cycle.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Feb 2010
    Posts
    422
    It suffices to show x_3=p. By expanding out you get x_3 = c-{c^2\over c-{c^2\over c-{c^2 \over p}}}, and its fairly straightforward (if tedious) to simplify this to p.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. First-order Nonlinear Equation
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: September 11th 2011, 05:44 AM
  2. Nonlinear Equation
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: April 25th 2011, 05:30 AM
  3. Replies: 1
    Last Post: April 11th 2011, 01:17 AM
  4. Replies: 0
    Last Post: October 29th 2010, 08:12 AM
  5. Nonlinear Equation
    Posted in the Algebra Forum
    Replies: 3
    Last Post: December 20th 2007, 07:17 PM

Search Tags


/mathhelpforum @mathhelpforum