Chaos phenomena in a circle of three unidirectionally connected oscillators |
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| Authors: | S. D. Glyzin A. Yu. Kolesov N. Kh. Rozov |
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| Affiliation: | (1) Faculty of Mathematics, Yaroslavl State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia;(2) Faculty of Mechanics and Mathematics, Moscow State University, Leninskie gory, Moscow, 119992, Russia |
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| Abstract: | 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  | |
| Keywords: | self-oscillations oscillators chaotic attractor normal form |
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