On geometric structure of phase portraits of some piecewise linear dynamical systems
V. P. Golubyatnikov, L. S. Minushkina
We construct an invariant surface in a noninvariant domain of phase portrait of one piecewise linear dynamical system which appears
naturally in gene networks modeling. This surface does not intersect the invariant neighborhood of a cycle which we
have found in that phase portrait earlier, neither it contains other cycles of this system. All trajectories of this system contained in
this surface are attracted to a point which plays role of an equilibrium point for smooth dynamical systems of this type.
Tbilisi Mathematical Journal, Special Issue (7  2021), pp. 4956
