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Zhurnal Tekhnicheskoi Fiziki, 2021 Volume 91, Issue 11, Pages 1619–1624 (Mi jtf4882)

Theoretical and Mathematical Physics

Two coupled quasiperiodic generators excited by external force

A. P. Kuznetsova, Yu. V. Sedovaa, N. V. Stankevichab

a Saratov Branch of the Institute of Radio Engineering and Electronics
b State University – Higher School of Economics, Nizhny Novgorod Branch

Abstract: 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.

Received: 17.05.2021
Revised: 07.06.2021
Accepted: 08.06.2021

DOI: 10.21883/JTF.2021.11.51519.145-21



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© Steklov Math. Inst. of RAS, 2025