Geodesic
Chaos phenomena in a circle of three unidirectionally connected oscillators
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1809-1821 
S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. Chaos phenomena in a circle of three unidirectionally connected oscillators. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1809-1821. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a9/
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     title = {Chaos phenomena in a~circle of three unidirectionally connected oscillators},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1809--1821},
     year = {2006},
     volume = {46},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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