Attractors of a duffing equation-dependence on the exciting frequency

Attractors of a special Duffing equation are presented. The paper includes both strange attractors and periodic attractors. Emphasis is placed upon the evolution of an attractor starting from a very simple “thin” shape to a growing complex structure. It is shown that such an evolution is controlled by the exciting frequency. Further, the results indicate for this Duffing equation that complicated strange attractors are related to simple bifurcation behavior and vice versa.