Abstract
•A three dimensional nonlinear oscillator with an unstable equilibrium is discussed.•The oscillator exhibits different dynamics such as periodic orbit, torus, and chaos.•The system is multistable with different symmetric coexisting attractors.•Entropy analysis of the system shows variations of its complexity.•A designed circuit of the chaotic oscillator is introduced.
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.