Kicked Van der Pol oscillator: from differential equation to maps
А. П. Кузнецов, L. V. Turukina · Izvestiya VUZ Applied Nonlinear Dynamics · 2002
Dynamics of а kicked Van der Pol system is considered. Approximate 2D and 1D maps are derived. Comparative analysis of efficiency of these maps is undertaken with the help of dynamical regimes charts, bifurcation diagrams and phase portraits technique. Peculiarities of the synchronization effects the kicked oscillator are discussed in comparison with traditional circle map.