OSCILLATION-SLIDING IN A MODIFIED VAN DER POL–DUFFING ELECTRONIC OSCILLATOR

Some periodic behaviour exhibited by a modified van der Pol–Duffing electronic oscillator near a degenerate Hopf–pitchfork bifurcation have been studied. Numerical continuation of these periodic orbits leads to the appearance of interesting phenomena. After varying one of the characteristics of the oscillator, oscillation-sliding between two periodic régimes is detected. In the region where oscillation-sliding is present, quasiperiodic oscillations (invariant torus), breakdown of the torus and the corresponding resonant periodic orbits are also found.