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What is meant by waveform . Working in strogatz nonlinear dynamics, global bifurcati

  1. Apr 4, 2010 #1
    What is meant by "waveform". Working in strogatz nonlinear dynamics, global bifurcati

    1. The problem statement, all variables and given/known data

    Consider the system r' = r(1-r^2), O' = m - sin(O) for m slightly greater than 2. Let x = rcos(O) and y = rsin(O). Sketch the waveforms of x(t) and y(t). (These are typical of what one might see experimentally for a system on the verge of an infinite-period bifurcation.)

    2. Relevant equations

    3. The attempt at a solution

    I just have no clue what it means by waveforms. As far as i can tell, they are not mentioned anywhere else in the book (at least not prior to this question). I can transform the system into x' and y', but that doesn't seem to help, and I'm fairly certain that I'm not suppose to just solve the system, or else i get messy log terms.
  2. jcsd
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