Megastability, Multistability in a Periodically Forced Conservative and Dissipative System with Signum Nonlinearity

A sinusoidally-driven conservative and dissipative system with signum nonlinearity is presented in this paper. The proposed system exhibits strange attractors, multistability, and megastability. The system exhibits both conservative and dissipative behaviors with the change of its parameters. The Lyapunov exponents, Lyapunov spectrum plots, bifurcation diagrams, and phase plots are used to show the special features of the proposed system.