Two coupled quasiperiodic generators excited by external force

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.