Investigation of dynamical properties in a chaotic flow with one unstable equilibrium: Circuit design and entropy analysis

In this paper, a three dimensional chaotic system with special properties is investigated. The system has an unstable equilibrium and a self-excited chaotic attractor in some parameters. Bifurcation analysis of the system shows different dynamics such as periodic orbit, torus and chaos. Also the system has multistability with some symmetric coexisting attractors. Entropy analysis of the system indicates variations in the complexity of the system's dynamic. A circuit design is introduced to clarify the system's feasibility practically.