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The stability of motion in a periodic cubic force field
Authors:J H Bartlett  C A Wagner
Institution:(1) Dept. of Physics, University of Alabama, University, Ala., USA;(2) Dept. of Physics, University of Illinois, Urbana, Ill., USA;(3) Present address: Central Washington State College, Ellensburg, Wash
Abstract:The non-linear differential equation 
$$\ddot x + p(t)x^3  = 0$$
, wherep(t) is a periodic square wave function of time with period tau, has been integrated by using a table of Jacobian elliptic functions. In the neighborhood of a typical elliptic fixed point, namely that for 11tau, 12-decimal accuracy has been used to determine a region which is stable.
Keywords:
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