Dynamics of driven oscillators with complex variables on lyapunov diagrams

Abstract

In this work it is shown the dynamical behavior of driven complex variable oscillators on Lyapunov diagrams, through the computation of the Lyapunov exponents spectrum. Here, we consider the largest and the second largest exponents on Lyapunov diagrams to identify regions of chaotic, quasi-periodic and periodic behaviors. In these diagrams we show the coexistence of limit cycles, chaotic attractors and 2-tori. Periodic and quasi-periodic structures embedded in chaotic regions are also observed on the Lyapunov diagrams.