Abstract

In this paper a general philosophy for the examination of sum resonances m 1Q x + m 2Q z = p rN in a two-dimensional phase plane is given. For some specific resonances, those with m 1 = 1orm 2 = 1 , some qualitative discrepancies were found with the general theory of Guignard (see ref. 1). These discrepancies can be explained by a careful analysis of the behaviour of unstable and stable fixed points in the phase plane. This is illustrated for the resonance 2Q x + Q z = p rN .

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