Chaos phenomena in a circle of three unidirectionally connected oscillators

A method is proposed for designing chaotic oscillators. Mathematically, three so-called partial oscillators $S_j$ ($j=1,2,3$) are chosen, each of which is modeled by a nonlinear system of ordinary differential equations with a single attractor—an equilibrium or a cycle (the case $S_1=S_ 2=S_3$ is not excluded). It is shown that, when unidirectionally connected in a circle of the form однонаправленно связанными в кольцо вида
$$ \xymatrix{ &S_1\ar[rd]& \\ S_3\ar[ru]&&S_2\ar[ll] } $$
with suitably chosen parameters, these oscillators can exhibit a joint chaotic behavior.