0 are already deecribed by I. Newton (116]. However it was 250
years later that F. Tricorni (147] carried out the first non-local
qualitative investigation of equation (0.1) with arbitrary o 0 and
"'{ 0. It was proved by F. Tricorni that any solution of (0.1) with
o > 0 corresponds either to a rotatory motion or to a damped
oscillatory motion. Moreover, he showed that in the non-trivial
case "' ::: 1 there exists a bifurcation value ocr("' )
corresponding to a separatrix-loop, i.e. to a double-asymptotic to
a saddle-point trajectory. For o ocr("'') global asymptotic
stability takes place, i.e. every motion is a damped oscillation.
The papers of F. Tricorni became familiar immediately.
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