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In [1] Hans Kauderer has used the amplitude-phase variables to study the stability of the equilibrium regime which is considered as a special oscillation of amplitude r = 0 and of constant dephase e·. In [2] this dephase has been explained as that of such motion called characteristic and this explanation permits us to propose a lightly modification in Hans Kauderer's method. The same problem will be examined below for the equilibrium regime of an oscillating system of two degrees of freedom. It will be shown that the results obtained in [2] can be applied without difficulty.

Stability of the equilibrium regime of a system of two degrees of freedom in amplitude-phase variables