Changes in the Dynamics of a Rössler Oscillator by an External Forcing

We report some results indicating changes in the observed dynamics of the Rössler model under the influence of external sinusoidal forcing. By varying the control parameters of the external sinusoidal forcing, namely the amplitude and the angular frequency, we show, through numerical simulations which include parameter planes and Lyapunov exponents, that the external forcing can produce both chaos-order and order-chaos transitions. We also show that the sinusoidal forcing may generate hyperchaos.