The stability of motion in a periodic cubic force field |
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Authors: | J. H. Bartlett C. A. Wagner |
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Affiliation: | (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 |
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Abstract: | The non-linear differential equation, wherep(t) is a periodic square wave function of time with period , has been integrated by using a table of Jacobian elliptic functions. In the neighborhood of a typical elliptic fixed point, namely that for 11, 12-decimal accuracy has been used to determine a region which is stable. |
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