The Stability of Motion in a Periodic Cubic Force Field

Details The Stability of Motion in a Periodic Cubic Force Field The Stability of Motion in a Periodic Cubic Force Field

Jun 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970cemec...2..228b&link_type=abstract

Celestial Mechanics, Volume 2, Issue 2, pp.228-236

Physics

6

Scientific paper

The non-linear differential equationddot x + p(t)x^3 = 0, wherep(t) is a
periodic square wave function of time with period τ, has been
integrated by using a table of Jacobian elliptic functions. In the
neighborhood of a typical elliptic fixed point, namely that for 11τ,
12-decimal accuracy has been used to determine a region which is stable.

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