On analytical prescription of complex states structures of the dynamical systems equilibria on plane (Q2719390)

This paper proceeds the author's investigation [see ibid. 1996, No. 2, 3-19 (1996; Zbl 0956.34009)]. The author studies the structure of complex equilibrium states \(A_k\) \((k\in I_a)\) of the system on plane NEWLINE\[NEWLINE \frac{dx}{dt} = X(x,y),\qquad \frac{dy}{dt} = Y(x,y). NEWLINE\]NEWLINE The method of analysis is based on the use of the vector fields of comparison directions \(\vec n\) and \(\vec\tau\) which are constructed in terms of a prescribed totality of specificphase trajectories.