Conditionally periodic solutions of the canonical systems of differential equations in non-autonomous resonant case

Details Conditionally periodic solutions of the canonical systems of differential equations in non-autonomous resonant case Conditionally periodic solutions of the canonical systems of differential equations in non-autonomous resonant case

Jan 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979cemec..19...77z&link_type=abstract

Celestial Mechanics, vol. 19, Jan. 1979, p. 77-93.

Mathematics

6

Canonical Forms, Celestial Mechanics, Differential Equations, Resonance, Convergence, Periodic Functions, Transformations (Mathematics)

Scientific paper

A formal method for constructing conditionally periodic solutions of canonical systems of differential equations in the vicinity of a commensurability of frequencies is proposed. The method is a combination of the rapid-convergence method and the Delaunay-von Zeipel method of canonical transformations. For successful application of the method, steady-state resonant solutions to an averaged system of differential equations must exist.

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