410054, Saratov, Politehnicheskaya str., 77
Yuri Gagarin State Technical University of Saratov
Kuznetsov A. P., Stankevich N. V.
Synchronization of generators of quasiperiodic oscillations
2013, Vol. 9, No. 3, pp. 409-419
The dynamics of two coupled generators of quasiperiodic oscilltaions is studied. The opportunity of complete and phase synchronization of generators in the regime of quasiperiodic oscillations is obtained. The features of structure of parameter plane is researched using charts of dynamical regimes and charts of Lyapunov exponents, in which typical structures as resonance Arnold web were revealed. The possible quasiperiodic bifurctions in the system are discussed.
Kuznetsov A. P., Stankevich N. V., Turukina L. V.
Stabilization by external pulses and synchronous response in the Rossler system before saddlenode bifurcation
2009, Vol. 5, No. 2, pp. 253-264
The pulse driven Rossler system before the saddle-node bifurcation in the regime of divergence is considered. It is shown that external pulses initiate stable periodic and quasi-periodic regimes in non-autonomous system. The effect of synchronous response due interaction between external signal and own rhythm of autonomous system concerned with the «rotation» of the representation point in the three-dimensional phase space is observed. It is revealed that the torus doublings in the stroboscopic section exist in the certain area on the parameter plane of external force in this system.