Two coupled quasiperiodic generators excited by external force
Kuznetsov A.P.1, Sedova Yu.V.1, Stankevich N.V.1,2
1Saratov Branch, Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Saratov, Russia
2National Research University Higher School of Economics, Nizhny Novgorod, Russia
Email: kuzalexp@yandex.ru, sedovayv@yandex.ru, stankevichnv@mail.ru

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A system of two dissipatively coupled generators, which can exhibit autonomous quasiperiodic oscillations, excited by a harmonic signal, is studied. Lyapunov charts are presented that reveal the regimes of invariant tori of different dimensions and chaos. Phase portraits in stroboscopic section and double Poincare section are presented. The coexistence of different regimes, in particular, the bifurcations of invariant tori, is discussed. Keywords: quasiperiodic oscillations, coupled generators, Lyapunov charts, invariant torus, Poincare section, quasiperiodic bifurcation.
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